"Single ring theorem" and the disk-annulus phase transition

Journal of Mathematical Physics

Volumn 42, Issue 12, 2001, Pages 5718-5740

  Feinberg, Joshua ^a,b   Scalettar, R ^c   Zee, A ^d  

^a UNIVERSITY OF HAIFA   (Israel)

^b TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

^c UNIVERSITY OF CALIFORNIA   (United States)

^d UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035540642     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1412599     Document Type: Article

References (121)

1. F. Haake, F. Izrailev, N. Lehmann, D. Saher, and H. J. Sommers, Z. Phys. B: Condens. Matter 88, 359 (1992); H. J. Sommers, A. Crisanti, H. Sompolinsky, and Y. Stein, Phys. Rev. Lett. 60, 1895 (1988); M. A. Stephanov, ibid. 76, 4472 (1996); M. A. Halasz, A. D Jackson, and J. J. M. Verbaarschot, Phys. Rev. D 56, 5140 (1997); M. A. Halasz, J. C. Osborn, and J. J. M. Verbaarschot, ibid. 56, 7059 (1997); M. A. Halasz, A. D. Jackson, R. E. Shrock, M. A. Stephanov, and J. J. M. Verbaarschot, ibid. 58, 096007 (1998) (hep-ph/9804290); T. Guhr and T. Wettig, Nucl. Phys. B 506, 589 (1997) (hep-th/9704055); H. Markum, R. Pullirsch, and T. Wettig, Phys. Rev. Lett. 83, 484 (1999) (hep-lat/9906020); R. A. Janik, M. A. Nowak, G. Papp, and I. Zahed, Phys. Rev. Lett. 77, 4876 (1996); E. Gudowska-Nowak, G. Papp, and J. Brickmann, preprint cond-mat/9701187; Y. V. Fyodorov, B. A. Khoruzhenko, and H.-J. Sommers, Phys. Rev. Lett. 79, 557 (1997); Phys. Lett. A 226, 46 (1997); Ann. Inst. H. Poincare, Sect. A 68, 449 (1998); H.-J. Sommers, Yan V. Fyodorov, and M. Titov, J. Phys. A 32, L77 (1999) (chao-dyn/9807015); B. A. Khoruzhenko, J. Phys. A 29, L165 (1996); N. Hatano and D. R. Nelson, Phys. Rev. Lett. 77, 570 (1997) (cond-mat/9603165); Phys. Rev. B 56, 8651 (1997) (cond-mat/9705290); Phys. Rev. B 58, 8384 (1998) (cond-mat/9805195); D. R. Nelson and N. M. Shnerb, cond-mat/9708071; Phys. Rev. Lett. 80, 5172 (1998) (cond-mat/9801111); R. A. Lehrer and D. R. Nelson, Phys. Rev. B 58, 12385 (1998) (cond-mat/9806016); K. A. Dahmen, D. R. Nelson, and N. M. Shnerb, cond-mat/9903276; K. B. Efetov, Phys. Rev. Lett. 79, 491 (1997); Phys. Rev. B 56, 9630 (1997); A. V. Kolesnikov and K. B. Efetov, Waves Random Media 9, 71 (1999); Phys. Rev. Lett. 84, 5600 (2000) (cond-mat/0001263); J. Feinberg and A. Zee, Phys. Rev. E 59, 6433 (1999) (cond-mat/9706218); Nucl. Phys. B 552, 599 (1999) (cond-mat/9710040); E. Brézin and A. Zee, Nucl. Phys. B 509, 599 (1998) (cond-mat/9708029); C. Mudry, P. Brouwer, B. Halperin, V. Gurarie, and A. Zee, Phys. Rev. B 58, 13539 (1998); P. W. Brouwer, ibid. 57, 10526 (1998) (cond-mat/9711113); P. W. Brouwer, C. Mudry, B. D. Simons, and A. Altland, Phys. Rev. Lett. 81, 862 (1998) (cond-mat/9807189); C. Mudry, B. D. Simons, and A. Altlanld, Phys. Rev. Lett. 80, 4257 (1998) (cond-mat/9712103); R. A. Janik, M. A. Nowak, G. Papp, and I. Zahed, Acta Phys. Pol. B 30, 45 (1999) (cond-mat/9705098); I. Y. Goldsheid and B. A. Khoruzhenko, Phys. Rev. Lett. 80, 2897 (1998) (cond-mat/9707230); I. V. Yurkevich and I. V. Lerner, Phys. Rev. Lett. 82, 5080 (1999); P. W. Brouwer, P. G. Silvestrov, and C. W. J. Beenakker, Phys. Rev. Lett. 56, 4333 (1997) (cond-mat/9705186); P. G. Silvestrov, Phys. Rev. B 58, 10111 (1998) (cond-mat/9802219); Phys. Rev. Lett. 82, 3140 (1999) (cond-mat/9804093); cond-mat/0008118; B. Derrida, J. L. Jacobsen, and R. Zeitak, J. Stat. Phys. 98, 31 (2000) (cond-mat/9906235); G. M. Cicuta, M. Contedini, and L. Molinari, cond-mat/9907014; L. Molinari, J. Phys. A 31, 8553 (1998); J. Miller and Z. J. Wang, Phys. Rev. Lett. 76, 1461 (1996); J. T. Chalker and Z. Jane Wang, ibid. 79, 1797 (1997); Phys. Rev. E 61, 196 (2000); V. G. Benza, cond-mat/0006029; G. C. Ferrario and V. G. Benza, J. Phys.: Condens. Matter 11, 7557 (1999) (cond-mat/9907011); A. V. Izyumov and B. D. Simons, Phys. Rev. Lett. 83, 4373 (1999) (cond-mat/9910163); Europhys. Lett. 45, 290 (1999) (cond-mat/9811260); A. V. Izyumov and K. V. Samokhin, J. Phys. A 32, 7843 (1999) (cond-mat/9909407); B. Mehlig and J. T. Chalker, J. Math. Phys. 41, 3233 (2000) (cond-mat/9906279); Phys. Rev. Lett. 81, 3367 (1998) (cond-mat/9809090); Ann. Phys. (Berlin) 7, 427 (1998); R. A. Janik, W. Noerenberg, M. A. Nowak, G. Papp, and I. Zahed, Phys. Rev. E 60, 2699 (1999) (cond-mat;9902314); S. Hikami and R. Pnini, J. Phys. A 31, L587 (1998) (cond-mat/9806254); A. Sedrakyan, Nucl. Phys. B 554, 554 (1999) (cond-mat/9806301); A. A. Andrianov, F. Cannata, J. P. Dedonder, and M. V. Ioffe, Int. J. Mod. Phys. A 14, 2675 (1999) (quant-ph/9806019); F. Cannata, G. Junker, and J. Trost, Phys. Lett. A 246, 219 (1998) (quant-ph/9805085); X.-B. Wang, L. C. Kwek, and C. H. Oh, Phys. Lett. A 259, 7 (1999).
2. F. Haake, F. Izrailev, N. Lehmann, D. Saher, and H. J. Sommers, Z. Phys. B: Condens. Matter 88, 359 (1992); H. J. Sommers, A. Crisanti, H. Sompolinsky, and Y. Stein, Phys. Rev. Lett. 60, 1895 (1988); M. A. Stephanov, ibid. 76, 4472 (1996); M. A. Halasz, A. D Jackson, and J. J. M. Verbaarschot, Phys. Rev. D 56, 5140 (1997); M. A. Halasz, J. C. Osborn, and J. J. M. Verbaarschot, ibid. 56, 7059 (1997); M. A. Halasz, A. D. Jackson, R. E. Shrock, M. A. Stephanov, and J. J. M. Verbaarschot, ibid. 58, 096007 (1998) (hep-ph/9804290); T. Guhr and T. Wettig, Nucl. Phys. B 506, 589 (1997) (hep-th/9704055); H. Markum, R. Pullirsch, and T. Wettig, Phys. Rev. Lett. 83, 484 (1999) (hep-lat/9906020); R. A. Janik, M. A. Nowak, G. Papp, and I. Zahed, Phys. Rev. Lett. 77, 4876 (1996); E. Gudowska-Nowak, G. Papp, and J. Brickmann, preprint cond-mat/9701187; Y. V. Fyodorov, B. A. Khoruzhenko, and H.-J. Sommers, Phys. Rev. Lett. 79, 557 (1997); Phys. Lett. A 226, 46 (1997); Ann. Inst. H. Poincare, Sect. A 68, 449 (1998); H.-J. Sommers, Yan V. Fyodorov, and M. Titov, J. Phys. A 32, L77 (1999) (chao-dyn/9807015); B. A. Khoruzhenko, J. Phys. A 29, L165 (1996); N. Hatano and D. R. Nelson, Phys. Rev. Lett. 77, 570 (1997) (cond-mat/9603165); Phys. Rev. B 56, 8651 (1997) (cond-mat/9705290); Phys. Rev. B 58, 8384 (1998) (cond-mat/9805195); D. R. Nelson and N. M. Shnerb, cond-mat/9708071; Phys. Rev. Lett. 80, 5172 (1998) (cond-mat/9801111); R. A. Lehrer and D. R. Nelson, Phys. Rev. B 58, 12385 (1998) (cond-mat/9806016); K. A. Dahmen, D. R. Nelson, and N. M. Shnerb, cond-mat/9903276; K. B. Efetov, Phys. Rev. Lett. 79, 491 (1997); Phys. Rev. B 56, 9630 (1997); A. V. Kolesnikov and K. B. Efetov, Waves Random Media 9, 71 (1999); Phys. Rev. Lett. 84, 5600 (2000) (cond-mat/0001263); J. Feinberg and A. Zee, Phys. Rev. E 59, 6433 (1999) (cond-mat/9706218); Nucl. Phys. B 552, 599 (1999) (cond-mat/9710040); E. Brézin and A. Zee, Nucl. Phys. B 509, 599 (1998) (cond-mat/9708029); C. Mudry, P. Brouwer, B. Halperin, V. Gurarie, and A. Zee, Phys. Rev. B 58, 13539 (1998); P. W. Brouwer, ibid. 57, 10526 (1998) (cond-mat/9711113); P. W. Brouwer, C. Mudry, B. D. Simons, and A. Altland, Phys. Rev. Lett. 81, 862 (1998) (cond-mat/9807189); C. Mudry, B. D. Simons, and A. Altlanld, Phys. Rev. Lett. 80, 4257 (1998) (cond-mat/9712103); R. A. Janik, M. A. Nowak, G. Papp, and I. Zahed, Acta Phys. Pol. B 30, 45 (1999) (cond-mat/9705098); I. Y. Goldsheid and B. A. Khoruzhenko, Phys. Rev. Lett. 80, 2897 (1998) (cond-mat/9707230); I. V. Yurkevich and I. V. Lerner, Phys. Rev. Lett. 82, 5080 (1999); P. W. Brouwer, P. G. Silvestrov, and C. W. J. Beenakker, Phys. Rev. Lett. 56, 4333 (1997) (cond-mat/9705186); P. G. Silvestrov, Phys. Rev. B 58, 10111 (1998) (cond-mat/9802219); Phys. Rev. Lett. 82, 3140 (1999) (cond-mat/9804093); cond-mat/0008118; B. Derrida, J. L. Jacobsen, and R. Zeitak, J. Stat. Phys. 98, 31 (2000) (cond-mat/9906235); G. M. Cicuta, M. Contedini, and L. Molinari, cond-mat/9907014; L. Molinari, J. Phys. A 31, 8553 (1998); J. Miller and Z. J. Wang, Phys. Rev. Lett. 76, 1461 (1996); J. T. Chalker and Z. Jane Wang, ibid. 79, 1797 (1997); Phys. Rev. E 61, 196 (2000); V. G. Benza, cond-mat/0006029; G. C. Ferrario and V. G. Benza, J. Phys.: Condens. Matter 11, 7557 (1999) (cond-mat/9907011); A. V. Izyumov and B. D. Simons, Phys. Rev. Lett. 83, 4373 (1999) (cond-mat/9910163); Europhys. Lett. 45, 290 (1999) (cond-mat/9811260); A. V. Izyumov and K. V. Samokhin, J. Phys. A 32, 7843 (1999) (cond-mat/9909407); B. Mehlig and J. T. Chalker, J. Math. Phys. 41, 3233 (2000) (cond-mat/9906279); Phys. Rev. Lett. 81, 3367 (1998) (cond-mat/9809090); Ann. Phys. (Berlin) 7, 427 (1998); R. A. Janik, W. Noerenberg, M. A. Nowak, G. Papp, and I. Zahed, Phys. Rev. E 60, 2699 (1999) (cond-mat;9902314); S. Hikami and R. Pnini, J. Phys. A 31, L587 (1998) (cond-mat/9806254); A. Sedrakyan, Nucl. Phys. B 554, 554 (1999) (cond-mat/9806301); A. A. Andrianov, F. Cannata, J. P. Dedonder, and M. V. Ioffe, Int. J. Mod. Phys. A 14, 2675 (1999) (quant-ph/9806019); F. Cannata, G. Junker, and J. Trost, Phys. Lett. A 246, 219 (1998) (quant-ph/9805085); X.-B. Wang, L. C. Kwek, and C. H. Oh, Phys. Lett. A 259, 7 (1999).
3. F. Haake, F. Izrailev, N. Lehmann, D. Saher, and H. J. Sommers, Z. Phys. B: Condens. Matter 88, 359 (1992); H. J. Sommers, A. Crisanti, H. Sompolinsky, and Y. Stein, Phys. Rev. Lett. 60, 1895 (1988); M. A. Stephanov, ibid. 76, 4472 (1996); M. A. Halasz, A. D Jackson, and J. J. M. Verbaarschot, Phys. Rev. D 56, 5140 (1997); M. A. Halasz, J. C. Osborn, and J. J. M. Verbaarschot, ibid. 56, 7059 (1997); M. A. Halasz, A. D. Jackson, R. E. Shrock, M. A. Stephanov, and J. J. M. Verbaarschot, ibid. 58, 096007 (1998) (hep-ph/9804290); T. Guhr and T. Wettig, Nucl. Phys. B 506, 589 (1997) (hep-th/9704055); H. Markum, R. Pullirsch, and T. Wettig, Phys. Rev. Lett. 83, 484 (1999) (hep-lat/9906020); R. A. Janik, M. A. Nowak, G. Papp, and I. Zahed, Phys. Rev. Lett. 77, 4876 (1996); E. Gudowska-Nowak, G. Papp, and J. Brickmann, preprint cond-mat/9701187; Y. V. Fyodorov, B. A. Khoruzhenko, and H.-J. Sommers, Phys. Rev. Lett. 79, 557 (1997); Phys. Lett. A 226, 46 (1997); Ann. Inst. H. Poincare, Sect. A 68, 449 (1998); H.-J. Sommers, Yan V. Fyodorov, and M. Titov, J. Phys. A 32, L77 (1999) (chao-dyn/9807015); B. A. Khoruzhenko, J. Phys. A 29, L165 (1996); N. Hatano and D. R. Nelson, Phys. Rev. Lett. 77, 570 (1997) (cond-mat/9603165); Phys. Rev. B 56, 8651 (1997) (cond-mat/9705290); Phys. Rev. B 58, 8384 (1998) (cond-mat/9805195); D. R. Nelson and N. M. Shnerb, cond-mat/9708071; Phys. Rev. Lett. 80, 5172 (1998) (cond-mat/9801111); R. A. Lehrer and D. R. Nelson, Phys. Rev. B 58, 12385 (1998) (cond-mat/9806016); K. A. Dahmen, D. R. Nelson, and N. M. Shnerb, cond-mat/9903276; K. B. Efetov, Phys. Rev. Lett. 79, 491 (1997); Phys. Rev. B 56, 9630 (1997); A. V. Kolesnikov and K. B. Efetov, Waves Random Media 9, 71 (1999); Phys. Rev. Lett. 84, 5600 (2000) (cond-mat/0001263); J. Feinberg and A. Zee, Phys. Rev. E 59, 6433 (1999) (cond-mat/9706218); Nucl. Phys. B 552, 599 (1999) (cond-mat/9710040); E. Brézin and A. Zee, Nucl. Phys. B 509, 599 (1998) (cond-mat/9708029); C. Mudry, P. Brouwer, B. Halperin, V. Gurarie, and A. Zee, Phys. Rev. B 58, 13539 (1998); P. W. Brouwer, ibid. 57, 10526 (1998) (cond-mat/9711113); P. W. Brouwer, C. Mudry, B. D. Simons, and A. Altland, Phys. Rev. Lett. 81, 862 (1998) (cond-mat/9807189); C. Mudry, B. D. Simons, and A. Altlanld, Phys. Rev. Lett. 80, 4257 (1998) (cond-mat/9712103); R. A. Janik, M. A. Nowak, G. Papp, and I. Zahed, Acta Phys. Pol. B 30, 45 (1999) (cond-mat/9705098); I. Y. Goldsheid and B. A. Khoruzhenko, Phys. Rev. Lett. 80, 2897 (1998) (cond-mat/9707230); I. V. Yurkevich and I. V. Lerner, Phys. Rev. Lett. 82, 5080 (1999); P. W. Brouwer, P. G. Silvestrov, and C. W. J. Beenakker, Phys. Rev. Lett. 56, 4333 (1997) (cond-mat/9705186); P. G. Silvestrov, Phys. Rev. B 58, 10111 (1998) (cond-mat/9802219); Phys. Rev. Lett. 82, 3140 (1999) (cond-mat/9804093); cond-mat/0008118; B. Derrida, J. L. Jacobsen, and R. Zeitak, J. Stat. Phys. 98, 31 (2000) (cond-mat/9906235); G. M. Cicuta, M. Contedini, and L. Molinari, cond-mat/9907014; L. Molinari, J. Phys. A 31, 8553 (1998); J. Miller and Z. J. Wang, Phys. Rev. Lett. 76, 1461 (1996); J. T. Chalker and Z. Jane Wang, ibid. 79, 1797 (1997); Phys. Rev. E 61, 196 (2000); V. G. Benza, cond-mat/0006029; G. C. Ferrario and V. G. Benza, J. Phys.: Condens. Matter 11, 7557 (1999) (cond-mat/9907011); A. V. Izyumov and B. D. Simons, Phys. Rev. Lett. 83, 4373 (1999) (cond-mat/9910163); Europhys. Lett. 45, 290 (1999) (cond-mat/9811260); A. V. Izyumov and K. V. Samokhin, J. Phys. A 32, 7843 (1999) (cond-mat/9909407); B. Mehlig and J. T. Chalker, J. Math. Phys. 41, 3233 (2000) (cond-mat/9906279); Phys. Rev. Lett. 81, 3367 (1998) (cond-mat/9809090); Ann. Phys. (Berlin) 7, 427 (1998); R. A. Janik, W. Noerenberg, M. A. Nowak, G. Papp, and I. Zahed, Phys. Rev. E 60, 2699 (1999) (cond-mat;9902314); S. Hikami and R. Pnini, J. Phys. A 31, L587 (1998) (cond-mat/9806254); A. Sedrakyan, Nucl. Phys. B 554, 554 (1999) (cond-mat/9806301); A. A. Andrianov, F. Cannata, J. P. Dedonder, and M. V. Ioffe, Int. J. Mod. Phys. A 14, 2675 (1999) (quant-ph/9806019); F. Cannata, G. Junker, and J. Trost, Phys. Lett. A 246, 219 (1998) (quant-ph/9805085); X.-B. Wang, L. C. Kwek, and C. H. Oh, Phys. Lett. A 259, 7 (1999).
4. F. Haake, F. Izrailev, N. Lehmann, D. Saher, and H. J. Sommers, Z. Phys. B: Condens. Matter 88, 359 (1992); H. J. Sommers, A. Crisanti, H. Sompolinsky, and Y. Stein, Phys. Rev. Lett. 60, 1895 (1988); M. A. Stephanov, ibid. 76, 4472 (1996); M. A. Halasz, A. D Jackson, and J. J. M. Verbaarschot, Phys. Rev. D 56, 5140 (1997); M. A. Halasz, J. C. Osborn, and J. J. M. Verbaarschot, ibid. 56, 7059 (1997); M. A. Halasz, A. D. Jackson, R. E. Shrock, M. A. Stephanov, and J. J. M. Verbaarschot, ibid. 58, 096007 (1998) (hep-ph/9804290); T. Guhr and T. Wettig, Nucl. Phys. B 506, 589 (1997) (hep-th/9704055); H. Markum, R. Pullirsch, and T. Wettig, Phys. Rev. Lett. 83, 484 (1999) (hep-lat/9906020); R. A. Janik, M. A. Nowak, G. Papp, and I. Zahed, Phys. Rev. Lett. 77, 4876 (1996); E. Gudowska-Nowak, G. Papp, and J. Brickmann, preprint cond-mat/9701187; Y. V. Fyodorov, B. A. Khoruzhenko, and H.-J. Sommers, Phys. Rev. Lett. 79, 557 (1997); Phys. Lett. A 226, 46 (1997); Ann. Inst. H. Poincare, Sect. A 68, 449 (1998); H.-J. Sommers, Yan V. Fyodorov, and M. Titov, J. Phys. A 32, L77 (1999) (chao-dyn/9807015); B. A. Khoruzhenko, J. Phys. A 29, L165 (1996); N. Hatano and D. R. Nelson, Phys. Rev. Lett. 77, 570 (1997) (cond-mat/9603165); Phys. Rev. B 56, 8651 (1997) (cond-mat/9705290); Phys. Rev. B 58, 8384 (1998) (cond-mat/9805195); D. R. Nelson and N. M. Shnerb, cond-mat/9708071; Phys. Rev. Lett. 80, 5172 (1998) (cond-mat/9801111); R. A. Lehrer and D. R. Nelson, Phys. Rev. B 58, 12385 (1998) (cond-mat/9806016); K. A. Dahmen, D. R. Nelson, and N. M. Shnerb, cond-mat/9903276; K. B. Efetov, Phys. Rev. Lett. 79, 491 (1997); Phys. Rev. B 56, 9630 (1997); A. V. Kolesnikov and K. B. Efetov, Waves Random Media 9, 71 (1999); Phys. Rev. Lett. 84, 5600 (2000) (cond-mat/0001263); J. Feinberg and A. Zee, Phys. Rev. E 59, 6433 (1999) (cond-mat/9706218); Nucl. Phys. B 552, 599 (1999) (cond-mat/9710040); E. Brézin and A. Zee, Nucl. Phys. B 509, 599 (1998) (cond-mat/9708029); C. Mudry, P. Brouwer, B. Halperin, V. Gurarie, and A. Zee, Phys. Rev. B 58, 13539 (1998); P. W. Brouwer, ibid. 57, 10526 (1998) (cond-mat/9711113); P. W. Brouwer, C. Mudry, B. D. Simons, and A. Altland, Phys. Rev. Lett. 81, 862 (1998) (cond-mat/9807189); C. Mudry, B. D. Simons, and A. Altlanld, Phys. Rev. Lett. 80, 4257 (1998) (cond-mat/9712103); R. A. Janik, M. A. Nowak, G. Papp, and I. Zahed, Acta Phys. Pol. B 30, 45 (1999) (cond-mat/9705098); I. Y. Goldsheid and B. A. Khoruzhenko, Phys. Rev. Lett. 80, 2897 (1998) (cond-mat/9707230); I. V. Yurkevich and I. V. Lerner, Phys. Rev. Lett. 82, 5080 (1999); P. W. Brouwer, P. G. Silvestrov, and C. W. J. Beenakker, Phys. Rev. Lett. 56, 4333 (1997) (cond-mat/9705186); P. G. Silvestrov, Phys. Rev. B 58, 10111 (1998) (cond-mat/9802219); Phys. Rev. Lett. 82, 3140 (1999) (cond-mat/9804093); cond-mat/0008118; B. Derrida, J. L. Jacobsen, and R. Zeitak, J. Stat. Phys. 98, 31 (2000) (cond-mat/9906235); G. M. Cicuta, M. Contedini, and L. Molinari, cond-mat/9907014; L. Molinari, J. Phys. A 31, 8553 (1998); J. Miller and Z. J. Wang, Phys. Rev. Lett. 76, 1461 (1996); J. T. Chalker and Z. Jane Wang, ibid. 79, 1797 (1997); Phys. Rev. E 61, 196 (2000); V. G. Benza, cond-mat/0006029; G. C. Ferrario and V. G. Benza, J. Phys.: Condens. Matter 11, 7557 (1999) (cond-mat/9907011); A. V. Izyumov and B. D. Simons, Phys. Rev. Lett. 83, 4373 (1999) (cond-mat/9910163); Europhys. Lett. 45, 290 (1999) (cond-mat/9811260); A. V. Izyumov and K. V. Samokhin, J. Phys. A 32, 7843 (1999) (cond-mat/9909407); B. Mehlig and J. T. Chalker, J. Math. Phys. 41, 3233 (2000) (cond-mat/9906279); Phys. Rev. Lett. 81, 3367 (1998) (cond-mat/9809090); Ann. Phys. (Berlin) 7, 427 (1998); R. A. Janik, W. Noerenberg, M. A. Nowak, G. Papp, and I. Zahed, Phys. Rev. E 60, 2699 (1999) (cond-mat;9902314); S. Hikami and R. Pnini, J. Phys. A 31, L587 (1998) (cond-mat/9806254); A. Sedrakyan, Nucl. Phys. B 554, 554 (1999) (cond-mat/9806301); A. A. Andrianov, F. Cannata, J. P. Dedonder, and M. V. Ioffe, Int. J. Mod. Phys. A 14, 2675 (1999) (quant-ph/9806019); F. Cannata, G. Junker, and J. Trost, Phys. Lett. A 246, 219 (1998) (quant-ph/9805085); X.-B. Wang, L. C. Kwek, and C. H. Oh, Phys. Lett. A 259, 7 (1999).
5. F. Haake, F. Izrailev, N. Lehmann, D. Saher, and H. J. Sommers, Z. Phys. B: Condens. Matter 88, 359 (1992); H. J. Sommers, A. Crisanti, H. Sompolinsky, and Y. Stein, Phys. Rev. Lett. 60, 1895 (1988); M. A. Stephanov, ibid. 76, 4472 (1996); M. A. Halasz, A. D Jackson, and J. J. M. Verbaarschot, Phys. Rev. D 56, 5140 (1997); M. A. Halasz, J. C. Osborn, and J. J. M. Verbaarschot, ibid. 56, 7059 (1997); M. A. Halasz, A. D. Jackson, R. E. Shrock, M. A. Stephanov, and J. J. M. Verbaarschot, ibid. 58, 096007 (1998) (hep-ph/9804290); T. Guhr and T. Wettig, Nucl. Phys. B 506, 589 (1997) (hep-th/9704055); H. Markum, R. Pullirsch, and T. Wettig, Phys. Rev. Lett. 83, 484 (1999) (hep-lat/9906020); R. A. Janik, M. A. Nowak, G. Papp, and I. Zahed, Phys. Rev. Lett. 77, 4876 (1996); E. Gudowska-Nowak, G. Papp, and J. Brickmann, preprint cond-mat/9701187; Y. V. Fyodorov, B. A. Khoruzhenko, and H.-J. Sommers, Phys. Rev. Lett. 79, 557 (1997); Phys. Lett. A 226, 46 (1997); Ann. Inst. H. Poincare, Sect. A 68, 449 (1998); H.-J. Sommers, Yan V. Fyodorov, and M. Titov, J. Phys. A 32, L77 (1999) (chao-dyn/9807015); B. A. Khoruzhenko, J. Phys. A 29, L165 (1996); N. Hatano and D. R. Nelson, Phys. Rev. Lett. 77, 570 (1997) (cond-mat/9603165); Phys. Rev. B 56, 8651 (1997) (cond-mat/9705290); Phys. Rev. B 58, 8384 (1998) (cond-mat/9805195); D. R. Nelson and N. M. Shnerb, cond-mat/9708071; Phys. Rev. Lett. 80, 5172 (1998) (cond-mat/9801111); R. A. Lehrer and D. R. Nelson, Phys. Rev. B 58, 12385 (1998) (cond-mat/9806016); K. A. Dahmen, D. R. Nelson, and N. M. Shnerb, cond-mat/9903276; K. B. Efetov, Phys. Rev. Lett. 79, 491 (1997); Phys. Rev. B 56, 9630 (1997); A. V. Kolesnikov and K. B. Efetov, Waves Random Media 9, 71 (1999); Phys. Rev. Lett. 84, 5600 (2000) (cond-mat/0001263); J. Feinberg and A. Zee, Phys. Rev. E 59, 6433 (1999) (cond-mat/9706218); Nucl. Phys. B 552, 599 (1999) (cond-mat/9710040); E. Brézin and A. Zee, Nucl. Phys. B 509, 599 (1998) (cond-mat/9708029); C. Mudry, P. Brouwer, B. Halperin, V. Gurarie, and A. Zee, Phys. Rev. B 58, 13539 (1998); P. W. Brouwer, ibid. 57, 10526 (1998) (cond-mat/9711113); P. W. Brouwer, C. Mudry, B. D. Simons, and A. Altland, Phys. Rev. Lett. 81, 862 (1998) (cond-mat/9807189); C. Mudry, B. D. Simons, and A. Altlanld, Phys. Rev. Lett. 80, 4257 (1998) (cond-mat/9712103); R. A. Janik, M. A. Nowak, G. Papp, and I. Zahed, Acta Phys. Pol. B 30, 45 (1999) (cond-mat/9705098); I. Y. Goldsheid and B. A. Khoruzhenko, Phys. Rev. Lett. 80, 2897 (1998) (cond-mat/9707230); I. V. Yurkevich and I. V. Lerner, Phys. Rev. Lett. 82, 5080 (1999); P. W. Brouwer, P. G. Silvestrov, and C. W. J. Beenakker, Phys. Rev. Lett. 56, 4333 (1997) (cond-mat/9705186); P. G. Silvestrov, Phys. Rev. B 58, 10111 (1998) (cond-mat/9802219); Phys. Rev. Lett. 82, 3140 (1999) (cond-mat/9804093); cond-mat/0008118; B. Derrida, J. L. Jacobsen, and R. Zeitak, J. Stat. Phys. 98, 31 (2000) (cond-mat/9906235); G. M. Cicuta, M. Contedini, and L. Molinari, cond-mat/9907014; L. Molinari, J. Phys. A 31, 8553 (1998); J. Miller and Z. J. Wang, Phys. Rev. Lett. 76, 1461 (1996); J. T. Chalker and Z. Jane Wang, ibid. 79, 1797 (1997); Phys. Rev. E 61, 196 (2000); V. G. Benza, cond-mat/0006029; G. C. Ferrario and V. G. Benza, J. Phys.: Condens. Matter 11, 7557 (1999) (cond-mat/9907011); A. V. Izyumov and B. D. Simons, Phys. Rev. Lett. 83, 4373 (1999) (cond-mat/9910163); Europhys. Lett. 45, 290 (1999) (cond-mat/9811260); A. V. Izyumov and K. V. Samokhin, J. Phys. A 32, 7843 (1999) (cond-mat/9909407); B. Mehlig and J. T. Chalker, J. Math. Phys. 41, 3233 (2000) (cond-mat/9906279); Phys. Rev. Lett. 81, 3367 (1998) (cond-mat/9809090); Ann. Phys. (Berlin) 7, 427 (1998); R. A. Janik, W. Noerenberg, M. A. Nowak, G. Papp, and I. Zahed, Phys. Rev. E 60, 2699 (1999) (cond-mat;9902314); S. Hikami and R. Pnini, J. Phys. A 31, L587 (1998) (cond-mat/9806254); A. Sedrakyan, Nucl. Phys. B 554, 554 (1999) (cond-mat/9806301); A. A. Andrianov, F. Cannata, J. P. Dedonder, and M. V. Ioffe, Int. J. Mod. Phys. A 14, 2675 (1999) (quant-ph/9806019); F. Cannata, G. Junker, and J. Trost, Phys. Lett. A 246, 219 (1998) (quant-ph/9805085); X.-B. Wang, L. C. Kwek, and C. H. Oh, Phys. Lett. A 259, 7 (1999).
6. F. Haake, F. Izrailev, N. Lehmann, D. Saher, and H. J. Sommers, Z. Phys. B: Condens. Matter 88, 359 (1992); H. J. Sommers, A. Crisanti, H. Sompolinsky, and Y. Stein, Phys. Rev. Lett. 60, 1895 (1988); M. A. Stephanov, ibid. 76, 4472 (1996); M. A. Halasz, A. D Jackson, and J. J. M. Verbaarschot, Phys. Rev. D 56, 5140 (1997); M. A. Halasz, J. C. Osborn, and J. J. M. Verbaarschot, ibid. 56, 7059 (1997); M. A. Halasz, A. D. Jackson, R. E. Shrock, M. A. Stephanov, and J. J. M. Verbaarschot, ibid. 58, 096007 (1998) (hep-ph/9804290); T. Guhr and T. Wettig, Nucl. Phys. B 506, 589 (1997) (hep-th/9704055); H. Markum, R. Pullirsch, and T. Wettig, Phys. Rev. Lett. 83, 484 (1999) (hep-lat/9906020); R. A. Janik, M. A. Nowak, G. Papp, and I. Zahed, Phys. Rev. Lett. 77, 4876 (1996); E. Gudowska-Nowak, G. Papp, and J. Brickmann, preprint cond-mat/9701187; Y. V. Fyodorov, B. A. Khoruzhenko, and H.-J. Sommers, Phys. Rev. Lett. 79, 557 (1997); Phys. Lett. A 226, 46 (1997); Ann. Inst. H. Poincare, Sect. A 68, 449 (1998); H.-J. Sommers, Yan V. Fyodorov, and M. Titov, J. Phys. A 32, L77 (1999) (chao-dyn/9807015); B. A. Khoruzhenko, J. Phys. A 29, L165 (1996); N. Hatano and D. R. Nelson, Phys. Rev. Lett. 77, 570 (1997) (cond-mat/9603165); Phys. Rev. B 56, 8651 (1997) (cond-mat/9705290); Phys. Rev. B 58, 8384 (1998) (cond-mat/9805195); D. R. Nelson and N. M. Shnerb, cond-mat/9708071; Phys. Rev. Lett. 80, 5172 (1998) (cond-mat/9801111); R. A. Lehrer and D. R. Nelson, Phys. Rev. B 58, 12385 (1998) (cond-mat/9806016); K. A. Dahmen, D. R. Nelson, and N. M. Shnerb, cond-mat/9903276; K. B. Efetov, Phys. Rev. Lett. 79, 491 (1997); Phys. Rev. B 56, 9630 (1997); A. V. Kolesnikov and K. B. Efetov, Waves Random Media 9, 71 (1999); Phys. Rev. Lett. 84, 5600 (2000) (cond-mat/0001263); J. Feinberg and A. Zee, Phys. Rev. E 59, 6433 (1999) (cond-mat/9706218); Nucl. Phys. B 552, 599 (1999) (cond-mat/9710040); E. Brézin and A. Zee, Nucl. Phys. B 509, 599 (1998) (cond-mat/9708029); C. Mudry, P. Brouwer, B. Halperin, V. Gurarie, and A. Zee, Phys. Rev. B 58, 13539 (1998); P. W. Brouwer, ibid. 57, 10526 (1998) (cond-mat/9711113); P. W. Brouwer, C. Mudry, B. D. Simons, and A. Altland, Phys. Rev. Lett. 81, 862 (1998) (cond-mat/9807189); C. Mudry, B. D. Simons, and A. Altlanld, Phys. Rev. Lett. 80, 4257 (1998) (cond-mat/9712103); R. A. Janik, M. A. Nowak, G. Papp, and I. Zahed, Acta Phys. Pol. B 30, 45 (1999) (cond-mat/9705098); I. Y. Goldsheid and B. A. Khoruzhenko, Phys. Rev. Lett. 80, 2897 (1998) (cond-mat/9707230); I. V. Yurkevich and I. V. Lerner, Phys. Rev. Lett. 82, 5080 (1999); P. W. Brouwer, P. G. Silvestrov, and C. W. J. Beenakker, Phys. Rev. Lett. 56, 4333 (1997) (cond-mat/9705186); P. G. Silvestrov, Phys. Rev. B 58, 10111 (1998) (cond-mat/9802219); Phys. Rev. Lett. 82, 3140 (1999) (cond-mat/9804093); cond-mat/0008118; B. Derrida, J. L. Jacobsen, and R. Zeitak, J. Stat. Phys. 98, 31 (2000) (cond-mat/9906235); G. M. Cicuta, M. Contedini, and L. Molinari, cond-mat/9907014; L. Molinari, J. Phys. A 31, 8553 (1998); J. Miller and Z. J. Wang, Phys. Rev. Lett. 76, 1461 (1996); J. T. Chalker and Z. Jane Wang, ibid. 79, 1797 (1997); Phys. Rev. E 61, 196 (2000); V. G. Benza, cond-mat/0006029; G. C. Ferrario and V. G. Benza, J. Phys.: Condens. Matter 11, 7557 (1999) (cond-mat/9907011); A. V. Izyumov and B. D. Simons, Phys. Rev. Lett. 83, 4373 (1999) (cond-mat/9910163); Europhys. Lett. 45, 290 (1999) (cond-mat/9811260); A. V. Izyumov and K. V. Samokhin, J. Phys. A 32, 7843 (1999) (cond-mat/9909407); B. Mehlig and J. T. Chalker, J. Math. Phys. 41, 3233 (2000) (cond-mat/9906279); Phys. Rev. Lett. 81, 3367 (1998) (cond-mat/9809090); Ann. Phys. (Berlin) 7, 427 (1998); R. A. Janik, W. Noerenberg, M. A. Nowak, G. Papp, and I. Zahed, Phys. Rev. E 60, 2699 (1999) (cond-mat;9902314); S. Hikami and R. Pnini, J. Phys. A 31, L587 (1998) (cond-mat/9806254); A. Sedrakyan, Nucl. Phys. B 554, 554 (1999) (cond-mat/9806301); A. A. Andrianov, F. Cannata, J. P. Dedonder, and M. V. Ioffe, Int. J. Mod. Phys. A 14, 2675 (1999) (quant-ph/9806019); F. Cannata, G. Junker, and J. Trost, Phys. Lett. A 246, 219 (1998) (quant-ph/9805085); X.-B. Wang, L. C. Kwek, and C. H. Oh, Phys. Lett. A 259, 7 (1999).
7. F. Haake, F. Izrailev, N. Lehmann, D. Saher, and H. J. Sommers, Z. Phys. B: Condens. Matter 88, 359 (1992); H. J. Sommers, A. Crisanti, H. Sompolinsky, and Y. Stein, Phys. Rev. Lett. 60, 1895 (1988); M. A. Stephanov, ibid. 76, 4472 (1996); M. A. Halasz, A. D Jackson, and J. J. M. Verbaarschot, Phys. Rev. D 56, 5140 (1997); M. A. Halasz, J. C. Osborn, and J. J. M. Verbaarschot, ibid. 56, 7059 (1997); M. A. Halasz, A. D. Jackson, R. E. Shrock, M. A. Stephanov, and J. J. M. Verbaarschot, ibid. 58, 096007 (1998) (hep-ph/9804290); T. Guhr and T. Wettig, Nucl. Phys. B 506, 589 (1997) (hep-th/9704055); H. Markum, R. Pullirsch, and T. Wettig, Phys. Rev. Lett. 83, 484 (1999) (hep-lat/9906020); R. A. Janik, M. A. Nowak, G. Papp, and I. Zahed, Phys. Rev. Lett. 77, 4876 (1996); E. Gudowska-Nowak, G. Papp, and J. Brickmann, preprint cond-mat/9701187; Y. V. Fyodorov, B. A. Khoruzhenko, and H.-J. Sommers, Phys. Rev. Lett. 79, 557 (1997); Phys. Lett. A 226, 46 (1997); Ann. Inst. H. Poincare, Sect. A 68, 449 (1998); H.-J. Sommers, Yan V. Fyodorov, and M. Titov, J. Phys. A 32, L77 (1999) (chao-dyn/9807015); B. A. Khoruzhenko, J. Phys. A 29, L165 (1996); N. Hatano and D. R. Nelson, Phys. Rev. Lett. 77, 570 (1997) (cond-mat/9603165); Phys. Rev. B 56, 8651 (1997) (cond-mat/9705290); Phys. Rev. B 58, 8384 (1998) (cond-mat/9805195); D. R. Nelson and N. M. Shnerb, cond-mat/9708071; Phys. Rev. Lett. 80, 5172 (1998) (cond-mat/9801111); R. A. Lehrer and D. R. Nelson, Phys. Rev. B 58, 12385 (1998) (cond-mat/9806016); K. A. Dahmen, D. R. Nelson, and N. M. Shnerb, cond-mat/9903276; K. B. Efetov, Phys. Rev. Lett. 79, 491 (1997); Phys. Rev. B 56, 9630 (1997); A. V. Kolesnikov and K. B. Efetov, Waves Random Media 9, 71 (1999); Phys. Rev. Lett. 84, 5600 (2000) (cond-mat/0001263); J. Feinberg and A. Zee, Phys. Rev. E 59, 6433 (1999) (cond-mat/9706218); Nucl. Phys. B 552, 599 (1999) (cond-mat/9710040); E. Brézin and A. Zee, Nucl. Phys. B 509, 599 (1998) (cond-mat/9708029); C. Mudry, P. Brouwer, B. Halperin, V. Gurarie, and A. Zee, Phys. Rev. B 58, 13539 (1998); P. W. Brouwer, ibid. 57, 10526 (1998) (cond-mat/9711113); P. W. Brouwer, C. Mudry, B. D. Simons, and A. Altland, Phys. Rev. Lett. 81, 862 (1998) (cond-mat/9807189); C. Mudry, B. D. Simons, and A. Altlanld, Phys. Rev. Lett. 80, 4257 (1998) (cond-mat/9712103); R. A. Janik, M. A. Nowak, G. Papp, and I. Zahed, Acta Phys. Pol. B 30, 45 (1999) (cond-mat/9705098); I. Y. Goldsheid and B. A. Khoruzhenko, Phys. Rev. Lett. 80, 2897 (1998) (cond-mat/9707230); I. V. Yurkevich and I. V. Lerner, Phys. Rev. Lett. 82, 5080 (1999); P. W. Brouwer, P. G. Silvestrov, and C. W. J. Beenakker, Phys. Rev. Lett. 56, 4333 (1997) (cond-mat/9705186); P. G. Silvestrov, Phys. Rev. B 58, 10111 (1998) (cond-mat/9802219); Phys. Rev. Lett. 82, 3140 (1999) (cond-mat/9804093); cond-mat/0008118; B. Derrida, J. L. Jacobsen, and R. Zeitak, J. Stat. Phys. 98, 31 (2000) (cond-mat/9906235); G. M. Cicuta, M. Contedini, and L. Molinari, cond-mat/9907014; L. Molinari, J. Phys. A 31, 8553 (1998); J. Miller and Z. J. Wang, Phys. Rev. Lett. 76, 1461 (1996); J. T. Chalker and Z. Jane Wang, ibid. 79, 1797 (1997); Phys. Rev. E 61, 196 (2000); V. G. Benza, cond-mat/0006029; G. C. Ferrario and V. G. Benza, J. Phys.: Condens. Matter 11, 7557 (1999) (cond-mat/9907011); A. V. Izyumov and B. D. Simons, Phys. Rev. Lett. 83, 4373 (1999) (cond-mat/9910163); Europhys. Lett. 45, 290 (1999) (cond-mat/9811260); A. V. Izyumov and K. V. Samokhin, J. Phys. A 32, 7843 (1999) (cond-mat/9909407); B. Mehlig and J. T. Chalker, J. Math. Phys. 41, 3233 (2000) (cond-mat/9906279); Phys. Rev. Lett. 81, 3367 (1998) (cond-mat/9809090); Ann. Phys. (Berlin) 7, 427 (1998); R. A. Janik, W. Noerenberg, M. A. Nowak, G. Papp, and I. Zahed, Phys. Rev. E 60, 2699 (1999) (cond-mat;9902314); S. Hikami and R. Pnini, J. Phys. A 31, L587 (1998) (cond-mat/9806254); A. Sedrakyan, Nucl. Phys. B 554, 554 (1999) (cond-mat/9806301); A. A. Andrianov, F. Cannata, J. P. Dedonder, and M. V. Ioffe, Int. J. Mod. Phys. A 14, 2675 (1999) (quant-ph/9806019); F. Cannata, G. Junker, and J. Trost, Phys. Lett. A 246, 219 (1998) (quant-ph/9805085); X.-B. Wang, L. C. Kwek, and C. H. Oh, Phys. Lett. A 259, 7 (1999).
8. F. Haake, F. Izrailev, N. Lehmann, D. Saher, and H. J. Sommers, Z. Phys. B: Condens. Matter 88, 359 (1992); H. J. Sommers, A. Crisanti, H. Sompolinsky, and Y. Stein, Phys. Rev. Lett. 60, 1895 (1988); M. A. Stephanov, ibid. 76, 4472 (1996); M. A. Halasz, A. D Jackson, and J. J. M. Verbaarschot, Phys. Rev. D 56, 5140 (1997); M. A. Halasz, J. C. Osborn, and J. J. M. Verbaarschot, ibid. 56, 7059 (1997); M. A. Halasz, A. D. Jackson, R. E. Shrock, M. A. Stephanov, and J. J. M. Verbaarschot, ibid. 58, 096007 (1998) (hep-ph/9804290); T. Guhr and T. Wettig, Nucl. Phys. B 506, 589 (1997) (hep-th/9704055); H. Markum, R. Pullirsch, and T. Wettig, Phys. Rev. Lett. 83, 484 (1999) (hep-lat/9906020); R. A. Janik, M. A. Nowak, G. Papp, and I. Zahed, Phys. Rev. Lett. 77, 4876 (1996); E. Gudowska-Nowak, G. Papp, and J. Brickmann, preprint cond-mat/9701187; Y. V. Fyodorov, B. A. Khoruzhenko, and H.-J. Sommers, Phys. Rev. Lett. 79, 557 (1997); Phys. Lett. A 226, 46 (1997); Ann. Inst. H. Poincare, Sect. A 68, 449 (1998); H.-J. Sommers, Yan V. Fyodorov, and M. Titov, J. Phys. A 32, L77 (1999) (chao-dyn/9807015); B. A. Khoruzhenko, J. Phys. A 29, L165 (1996); N. Hatano and D. R. Nelson, Phys. Rev. Lett. 77, 570 (1997) (cond-mat/9603165); Phys. Rev. B 56, 8651 (1997) (cond-mat/9705290); Phys. Rev. B 58, 8384 (1998) (cond-mat/9805195); D. R. Nelson and N. M. Shnerb, cond-mat/9708071; Phys. Rev. Lett. 80, 5172 (1998) (cond-mat/9801111); R. A. Lehrer and D. R. Nelson, Phys. Rev. B 58, 12385 (1998) (cond-mat/9806016); K. A. Dahmen, D. R. Nelson, and N. M. Shnerb, cond-mat/9903276; K. B. Efetov, Phys. Rev. Lett. 79, 491 (1997); Phys. Rev. B 56, 9630 (1997); A. V. Kolesnikov and K. B. Efetov, Waves Random Media 9, 71 (1999); Phys. Rev. Lett. 84, 5600 (2000) (cond-mat/0001263); J. Feinberg and A. Zee, Phys. Rev. E 59, 6433 (1999) (cond-mat/9706218); Nucl. Phys. B 552, 599 (1999) (cond-mat/9710040); E. Brézin and A. Zee, Nucl. Phys. B 509, 599 (1998) (cond-mat/9708029); C. Mudry, P. Brouwer, B. Halperin, V. Gurarie, and A. Zee, Phys. Rev. B 58, 13539 (1998); P. W. Brouwer, ibid. 57, 10526 (1998) (cond-mat/9711113); P. W. Brouwer, C. Mudry, B. D. Simons, and A. Altland, Phys. Rev. Lett. 81, 862 (1998) (cond-mat/9807189); C. Mudry, B. D. Simons, and A. Altlanld, Phys. Rev. Lett. 80, 4257 (1998) (cond-mat/9712103); R. A. Janik, M. A. Nowak, G. Papp, and I. Zahed, Acta Phys. Pol. B 30, 45 (1999) (cond-mat/9705098); I. Y. Goldsheid and B. A. Khoruzhenko, Phys. Rev. Lett. 80, 2897 (1998) (cond-mat/9707230); I. V. Yurkevich and I. V. Lerner, Phys. Rev. Lett. 82, 5080 (1999); P. W. Brouwer, P. G. Silvestrov, and C. W. J. Beenakker, Phys. Rev. Lett. 56, 4333 (1997) (cond-mat/9705186); P. G. Silvestrov, Phys. Rev. B 58, 10111 (1998) (cond-mat/9802219); Phys. Rev. Lett. 82, 3140 (1999) (cond-mat/9804093); cond-mat/0008118; B. Derrida, J. L. Jacobsen, and R. Zeitak, J. Stat. Phys. 98, 31 (2000) (cond-mat/9906235); G. M. Cicuta, M. Contedini, and L. Molinari, cond-mat/9907014; L. Molinari, J. Phys. A 31, 8553 (1998); J. Miller and Z. J. Wang, Phys. Rev. Lett. 76, 1461 (1996); J. T. Chalker and Z. Jane Wang, ibid. 79, 1797 (1997); Phys. Rev. E 61, 196 (2000); V. G. Benza, cond-mat/0006029; G. C. Ferrario and V. G. Benza, J. Phys.: Condens. Matter 11, 7557 (1999) (cond-mat/9907011); A. V. Izyumov and B. D. Simons, Phys. Rev. Lett. 83, 4373 (1999) (cond-mat/9910163); Europhys. Lett. 45, 290 (1999) (cond-mat/9811260); A. V. Izyumov and K. V. Samokhin, J. Phys. A 32, 7843 (1999) (cond-mat/9909407); B. Mehlig and J. T. Chalker, J. Math. Phys. 41, 3233 (2000) (cond-mat/9906279); Phys. Rev. Lett. 81, 3367 (1998) (cond-mat/9809090); Ann. Phys. (Berlin) 7, 427 (1998); R. A. Janik, W. Noerenberg, M. A. Nowak, G. Papp, and I. Zahed, Phys. Rev. E 60, 2699 (1999) (cond-mat;9902314); S. Hikami and R. Pnini, J. Phys. A 31, L587 (1998) (cond-mat/9806254); A. Sedrakyan, Nucl. Phys. B 554, 554 (1999) (cond-mat/9806301); A. A. Andrianov, F. Cannata, J. P. Dedonder, and M. V. Ioffe, Int. J. Mod. Phys. A 14, 2675 (1999) (quant-ph/9806019); F. Cannata, G. Junker, and J. Trost, Phys. Lett. A 246, 219 (1998) (quant-ph/9805085); X.-B. Wang, L. C. Kwek, and C. H. Oh, Phys. Lett. A 259, 7 (1999).
9. F. Haake, F. Izrailev, N. Lehmann, D. Saher, and H. J. Sommers, Z. Phys. B: Condens. Matter 88, 359 (1992); H. J. Sommers, A. Crisanti, H. Sompolinsky, and Y. Stein, Phys. Rev. Lett. 60, 1895 (1988); M. A. Stephanov, ibid. 76, 4472 (1996); M. A. Halasz, A. D Jackson, and J. J. M. Verbaarschot, Phys. Rev. D 56, 5140 (1997); M. A. Halasz, J. C. Osborn, and J. J. M. Verbaarschot, ibid. 56, 7059 (1997); M. A. Halasz, A. D. Jackson, R. E. Shrock, M. A. Stephanov, and J. J. M. Verbaarschot, ibid. 58, 096007 (1998) (hep-ph/9804290); T. Guhr and T. Wettig, Nucl. Phys. B 506, 589 (1997) (hep-th/9704055); H. Markum, R. Pullirsch, and T. Wettig, Phys. Rev. Lett. 83, 484 (1999) (hep-lat/9906020); R. A. Janik, M. A. Nowak, G. Papp, and I. Zahed, Phys. Rev. Lett. 77, 4876 (1996); E. Gudowska-Nowak, G. Papp, and J. Brickmann, preprint cond-mat/9701187; Y. V. Fyodorov, B. A. Khoruzhenko, and H.-J. Sommers, Phys. Rev. Lett. 79, 557 (1997); Phys. Lett. A 226, 46 (1997); Ann. Inst. H. Poincare, Sect. A 68, 449 (1998); H.-J. Sommers, Yan V. Fyodorov, and M. Titov, J. Phys. A 32, L77 (1999) (chao-dyn/9807015); B. A. Khoruzhenko, J. Phys. A 29, L165 (1996); N. Hatano and D. R. Nelson, Phys. Rev. Lett. 77, 570 (1997) (cond-mat/9603165); Phys. Rev. B 56, 8651 (1997) (cond-mat/9705290); Phys. Rev. B 58, 8384 (1998) (cond-mat/9805195); D. R. Nelson and N. M. Shnerb, cond-mat/9708071; Phys. Rev. Lett. 80, 5172 (1998) (cond-mat/9801111); R. A. Lehrer and D. R. Nelson, Phys. Rev. B 58, 12385 (1998) (cond-mat/9806016); K. A. Dahmen, D. R. Nelson, and N. M. Shnerb, cond-mat/9903276; K. B. Efetov, Phys. Rev. Lett. 79, 491 (1997); Phys. Rev. B 56, 9630 (1997); A. V. Kolesnikov and K. B. Efetov, Waves Random Media 9, 71 (1999); Phys. Rev. Lett. 84, 5600 (2000) (cond-mat/0001263); J. Feinberg and A. Zee, Phys. Rev. E 59, 6433 (1999) (cond-mat/9706218); Nucl. Phys. B 552, 599 (1999) (cond-mat/9710040); E. Brézin and A. Zee, Nucl. Phys. B 509, 599 (1998) (cond-mat/9708029); C. Mudry, P. Brouwer, B. Halperin, V. Gurarie, and A. Zee, Phys. Rev. B 58, 13539 (1998); P. W. Brouwer, ibid. 57, 10526 (1998) (cond-mat/9711113); P. W. Brouwer, C. Mudry, B. D. Simons, and A. Altland, Phys. Rev. Lett. 81, 862 (1998) (cond-mat/9807189); C. Mudry, B. D. Simons, and A. Altlanld, Phys. Rev. Lett. 80, 4257 (1998) (cond-mat/9712103); R. A. Janik, M. A. Nowak, G. Papp, and I. Zahed, Acta Phys. Pol. B 30, 45 (1999) (cond-mat/9705098); I. Y. Goldsheid and B. A. Khoruzhenko, Phys. Rev. Lett. 80, 2897 (1998) (cond-mat/9707230); I. V. Yurkevich and I. V. Lerner, Phys. Rev. Lett. 82, 5080 (1999); P. W. Brouwer, P. G. Silvestrov, and C. W. J. Beenakker, Phys. Rev. Lett. 56, 4333 (1997) (cond-mat/9705186); P. G. Silvestrov, Phys. Rev. B 58, 10111 (1998) (cond-mat/9802219); Phys. Rev. Lett. 82, 3140 (1999) (cond-mat/9804093); cond-mat/0008118; B. Derrida, J. L. Jacobsen, and R. Zeitak, J. Stat. Phys. 98, 31 (2000) (cond-mat/9906235); G. M. Cicuta, M. Contedini, and L. Molinari, cond-mat/9907014; L. Molinari, J. Phys. A 31, 8553 (1998); J. Miller and Z. J. Wang, Phys. Rev. Lett. 76, 1461 (1996); J. T. Chalker and Z. Jane Wang, ibid. 79, 1797 (1997); Phys. Rev. E 61, 196 (2000); V. G. Benza, cond-mat/0006029; G. C. Ferrario and V. G. Benza, J. Phys.: Condens. Matter 11, 7557 (1999) (cond-mat/9907011); A. V. Izyumov and B. D. Simons, Phys. Rev. Lett. 83, 4373 (1999) (cond-mat/9910163); Europhys. Lett. 45, 290 (1999) (cond-mat/9811260); A. V. Izyumov and K. V. Samokhin, J. Phys. A 32, 7843 (1999) (cond-mat/9909407); B. Mehlig and J. T. Chalker, J. Math. Phys. 41, 3233 (2000) (cond-mat/9906279); Phys. Rev. Lett. 81, 3367 (1998) (cond-mat/9809090); Ann. Phys. (Berlin) 7, 427 (1998); R. A. Janik, W. Noerenberg, M. A. Nowak, G. Papp, and I. Zahed, Phys. Rev. E 60, 2699 (1999) (cond-mat;9902314); S. Hikami and R. Pnini, J. Phys. A 31, L587 (1998) (cond-mat/9806254); A. Sedrakyan, Nucl. Phys. B 554, 554 (1999) (cond-mat/9806301); A. A. Andrianov, F. Cannata, J. P. Dedonder, and M. V. Ioffe, Int. J. Mod. Phys. A 14, 2675 (1999) (quant-ph/9806019); F. Cannata, G. Junker, and J. Trost, Phys. Lett. A 246, 219 (1998) (quant-ph/9805085); X.-B. Wang, L. C. Kwek, and C. H. Oh, Phys. Lett. A 259, 7 (1999).
10. F. Haake, F. Izrailev, N. Lehmann, D. Saher, and H. J. Sommers, Z. Phys. B: Condens. Matter 88, 359 (1992); H. J. Sommers, A. Crisanti, H. Sompolinsky, and Y. Stein, Phys. Rev. Lett. 60, 1895 (1988); M. A. Stephanov, ibid. 76, 4472 (1996); M. A. Halasz, A. D Jackson, and J. J. M. Verbaarschot, Phys. Rev. D 56, 5140 (1997); M. A. Halasz, J. C. Osborn, and J. J. M. Verbaarschot, ibid. 56, 7059 (1997); M. A. Halasz, A. D. Jackson, R. E. Shrock, M. A. Stephanov, and J. J. M. Verbaarschot, ibid. 58, 096007 (1998) (hep-ph/9804290); T. Guhr and T. Wettig, Nucl. Phys. B 506, 589 (1997) (hep-th/9704055); H. Markum, R. Pullirsch, and T. Wettig, Phys. Rev. Lett. 83, 484 (1999) (hep-lat/9906020); R. A. Janik, M. A. Nowak, G. Papp, and I. Zahed, Phys. Rev. Lett. 77, 4876 (1996); E. Gudowska-Nowak, G. Papp, and J. Brickmann, preprint cond-mat/9701187; Y. V. Fyodorov, B. A. Khoruzhenko, and H.-J. Sommers, Phys. Rev. Lett. 79, 557 (1997); Phys. Lett. A 226, 46 (1997); Ann. Inst. H. Poincare, Sect. A 68, 449 (1998); H.-J. Sommers, Yan V. Fyodorov, and M. Titov, J. Phys. A 32, L77 (1999) (chao-dyn/9807015); B. A. Khoruzhenko, J. Phys. A 29, L165 (1996); N. Hatano and D. R. Nelson, Phys. Rev. Lett. 77, 570 (1997) (cond-mat/9603165); Phys. Rev. B 56, 8651 (1997) (cond-mat/9705290); Phys. Rev. B 58, 8384 (1998) (cond-mat/9805195); D. R. Nelson and N. M. Shnerb, cond-mat/9708071; Phys. Rev. Lett. 80, 5172 (1998) (cond-mat/9801111); R. A. Lehrer and D. R. Nelson, Phys. Rev. B 58, 12385 (1998) (cond-mat/9806016); K. A. Dahmen, D. R. Nelson, and N. M. Shnerb, cond-mat/9903276; K. B. Efetov, Phys. Rev. Lett. 79, 491 (1997); Phys. Rev. B 56, 9630 (1997); A. V. Kolesnikov and K. B. Efetov, Waves Random Media 9, 71 (1999); Phys. Rev. Lett. 84, 5600 (2000) (cond-mat/0001263); J. Feinberg and A. Zee, Phys. Rev. E 59, 6433 (1999) (cond-mat/9706218); Nucl. Phys. B 552, 599 (1999) (cond-mat/9710040); E. Brézin and A. Zee, Nucl. Phys. B 509, 599 (1998) (cond-mat/9708029); C. Mudry, P. Brouwer, B. Halperin, V. Gurarie, and A. Zee, Phys. Rev. B 58, 13539 (1998); P. W. Brouwer, ibid. 57, 10526 (1998) (cond-mat/9711113); P. W. Brouwer, C. Mudry, B. D. Simons, and A. Altland, Phys. Rev. Lett. 81, 862 (1998) (cond-mat/9807189); C. Mudry, B. D. Simons, and A. Altlanld, Phys. Rev. Lett. 80, 4257 (1998) (cond-mat/9712103); R. A. Janik, M. A. Nowak, G. Papp, and I. Zahed, Acta Phys. Pol. B 30, 45 (1999) (cond-mat/9705098); I. Y. Goldsheid and B. A. Khoruzhenko, Phys. Rev. Lett. 80, 2897 (1998) (cond-mat/9707230); I. V. Yurkevich and I. V. Lerner, Phys. Rev. Lett. 82, 5080 (1999); P. W. Brouwer, P. G. Silvestrov, and C. W. J. Beenakker, Phys. Rev. Lett. 56, 4333 (1997) (cond-mat/9705186); P. G. Silvestrov, Phys. Rev. B 58, 10111 (1998) (cond-mat/9802219); Phys. Rev. Lett. 82, 3140 (1999) (cond-mat/9804093); cond-mat/0008118; B. Derrida, J. L. Jacobsen, and R. Zeitak, J. Stat. Phys. 98, 31 (2000) (cond-mat/9906235); G. M. Cicuta, M. Contedini, and L. Molinari, cond-mat/9907014; L. Molinari, J. Phys. A 31, 8553 (1998); J. Miller and Z. J. Wang, Phys. Rev. Lett. 76, 1461 (1996); J. T. Chalker and Z. Jane Wang, ibid. 79, 1797 (1997); Phys. Rev. E 61, 196 (2000); V. G. Benza, cond-mat/0006029; G. C. Ferrario and V. G. Benza, J. Phys.: Condens. Matter 11, 7557 (1999) (cond-mat/9907011); A. V. Izyumov and B. D. Simons, Phys. Rev. Lett. 83, 4373 (1999) (cond-mat/9910163); Europhys. Lett. 45, 290 (1999) (cond-mat/9811260); A. V. Izyumov and K. V. Samokhin, J. Phys. A 32, 7843 (1999) (cond-mat/9909407); B. Mehlig and J. T. Chalker, J. Math. Phys. 41, 3233 (2000) (cond-mat/9906279); Phys. Rev. Lett. 81, 3367 (1998) (cond-mat/9809090); Ann. Phys. (Berlin) 7, 427 (1998); R. A. Janik, W. Noerenberg, M. A. Nowak, G. Papp, and I. Zahed, Phys. Rev. E 60, 2699 (1999) (cond-mat;9902314); S. Hikami and R. Pnini, J. Phys. A 31, L587 (1998) (cond-mat/9806254); A. Sedrakyan, Nucl. Phys. B 554, 554 (1999) (cond-mat/9806301); A. A. Andrianov, F. Cannata, J. P. Dedonder, and M. V. Ioffe, Int. J. Mod. Phys. A 14, 2675 (1999) (quant-ph/9806019); F. Cannata, G. Junker, and J. Trost, Phys. Lett. A 246, 219 (1998) (quant-ph/9805085); X.-B. Wang, L. C. Kwek, and C. H. Oh, Phys. Lett. A 259, 7 (1999).
11. F. Haake, F. Izrailev, N. Lehmann, D. Saher, and H. J. Sommers, Z. Phys. B: Condens. Matter 88, 359 (1992); H. J. Sommers, A. Crisanti, H. Sompolinsky, and Y. Stein, Phys. Rev. Lett. 60, 1895 (1988); M. A. Stephanov, ibid. 76, 4472 (1996); M. A. Halasz, A. D Jackson, and J. J. M. Verbaarschot, Phys. Rev. D 56, 5140 (1997); M. A. Halasz, J. C. Osborn, and J. J. M. Verbaarschot, ibid. 56, 7059 (1997); M. A. Halasz, A. D. Jackson, R. E. Shrock, M. A. Stephanov, and J. J. M. Verbaarschot, ibid. 58, 096007 (1998) (hep-ph/9804290); T. Guhr and T. Wettig, Nucl. Phys. B 506, 589 (1997) (hep-th/9704055); H. Markum, R. Pullirsch, and T. Wettig, Phys. Rev. Lett. 83, 484 (1999) (hep-lat/9906020); R. A. Janik, M. A. Nowak, G. Papp, and I. Zahed, Phys. Rev. Lett. 77, 4876 (1996); E. Gudowska-Nowak, G. Papp, and J. Brickmann, preprint cond-mat/9701187; Y. V. Fyodorov, B. A. Khoruzhenko, and H.-J. Sommers, Phys. Rev. Lett. 79, 557 (1997); Phys. Lett. A 226, 46 (1997); Ann. Inst. H. Poincare, Sect. A 68, 449 (1998); H.-J. Sommers, Yan V. Fyodorov, and M. Titov, J. Phys. A 32, L77 (1999) (chao-dyn/9807015); B. A. Khoruzhenko, J. Phys. A 29, L165 (1996); N. Hatano and D. R. Nelson, Phys. Rev. Lett. 77, 570 (1997) (cond-mat/9603165); Phys. Rev. B 56, 8651 (1997) (cond-mat/9705290); Phys. Rev. B 58, 8384 (1998) (cond-mat/9805195); D. R. Nelson and N. M. Shnerb, cond-mat/9708071; Phys. Rev. Lett. 80, 5172 (1998) (cond-mat/9801111); R. A. Lehrer and D. R. Nelson, Phys. Rev. B 58, 12385 (1998) (cond-mat/9806016); K. A. Dahmen, D. R. Nelson, and N. M. Shnerb, cond-mat/9903276; K. B. Efetov, Phys. Rev. Lett. 79, 491 (1997); Phys. Rev. B 56, 9630 (1997); A. V. Kolesnikov and K. B. Efetov, Waves Random Media 9, 71 (1999); Phys. Rev. Lett. 84, 5600 (2000) (cond-mat/0001263); J. Feinberg and A. Zee, Phys. Rev. E 59, 6433 (1999) (cond-mat/9706218); Nucl. Phys. B 552, 599 (1999) (cond-mat/9710040); E. Brézin and A. Zee, Nucl. Phys. B 509, 599 (1998) (cond-mat/9708029); C. Mudry, P. Brouwer, B. Halperin, V. Gurarie, and A. Zee, Phys. Rev. B 58, 13539 (1998); P. W. Brouwer, ibid. 57, 10526 (1998) (cond-mat/9711113); P. W. Brouwer, C. Mudry, B. D. Simons, and A. Altland, Phys. Rev. Lett. 81, 862 (1998) (cond-mat/9807189); C. Mudry, B. D. Simons, and A. Altlanld, Phys. Rev. Lett. 80, 4257 (1998) (cond-mat/9712103); R. A. Janik, M. A. Nowak, G. Papp, and I. Zahed, Acta Phys. Pol. B 30, 45 (1999) (cond-mat/9705098); I. Y. Goldsheid and B. A. Khoruzhenko, Phys. Rev. Lett. 80, 2897 (1998) (cond-mat/9707230); I. V. Yurkevich and I. V. Lerner, Phys. Rev. Lett. 82, 5080 (1999); P. W. Brouwer, P. G. Silvestrov, and C. W. J. Beenakker, Phys. Rev. Lett. 56, 4333 (1997) (cond-mat/9705186); P. G. Silvestrov, Phys. Rev. B 58, 10111 (1998) (cond-mat/9802219); Phys. Rev. Lett. 82, 3140 (1999) (cond-mat/9804093); cond-mat/0008118; B. Derrida, J. L. Jacobsen, and R. Zeitak, J. Stat. Phys. 98, 31 (2000) (cond-mat/9906235); G. M. Cicuta, M. Contedini, and L. Molinari, cond-mat/9907014; L. Molinari, J. Phys. A 31, 8553 (1998); J. Miller and Z. J. Wang, Phys. Rev. Lett. 76, 1461 (1996); J. T. Chalker and Z. Jane Wang, ibid. 79, 1797 (1997); Phys. Rev. E 61, 196 (2000); V. G. Benza, cond-mat/0006029; G. C. Ferrario and V. G. Benza, J. Phys.: Condens. Matter 11, 7557 (1999) (cond-mat/9907011); A. V. Izyumov and B. D. Simons, Phys. Rev. Lett. 83, 4373 (1999) (cond-mat/9910163); Europhys. Lett. 45, 290 (1999) (cond-mat/9811260); A. V. Izyumov and K. V. Samokhin, J. Phys. A 32, 7843 (1999) (cond-mat/9909407); B. Mehlig and J. T. Chalker, J. Math. Phys. 41, 3233 (2000) (cond-mat/9906279); Phys. Rev. Lett. 81, 3367 (1998) (cond-mat/9809090); Ann. Phys. (Berlin) 7, 427 (1998); R. A. Janik, W. Noerenberg, M. A. Nowak, G. Papp, and I. Zahed, Phys. Rev. E 60, 2699 (1999) (cond-mat;9902314); S. Hikami and R. Pnini, J. Phys. A 31, L587 (1998) (cond-mat/9806254); A. Sedrakyan, Nucl. Phys. B 554, 554 (1999) (cond-mat/9806301); A. A. Andrianov, F. Cannata, J. P. Dedonder, and M. V. Ioffe, Int. J. Mod. Phys. A 14, 2675 (1999) (quant-ph/9806019); F. Cannata, G. Junker, and J. Trost, Phys. Lett. A 246, 219 (1998) (quant-ph/9805085); X.-B. Wang, L. C. Kwek, and C. H. Oh, Phys. Lett. A 259, 7 (1999).
12. F. Haake, F. Izrailev, N. Lehmann, D. Saher, and H. J. Sommers, Z. Phys. B: Condens. Matter 88, 359 (1992); H. J. Sommers, A. Crisanti, H. Sompolinsky, and Y. Stein, Phys. Rev. Lett. 60, 1895 (1988); M. A. Stephanov, ibid. 76, 4472 (1996); M. A. Halasz, A. D Jackson, and J. J. M. Verbaarschot, Phys. Rev. D 56, 5140 (1997); M. A. Halasz, J. C. Osborn, and J. J. M. Verbaarschot, ibid. 56, 7059 (1997); M. A. Halasz, A. D. Jackson, R. E. Shrock, M. A. Stephanov, and J. J. M. Verbaarschot, ibid. 58, 096007 (1998) (hep-ph/9804290); T. Guhr and T. Wettig, Nucl. Phys. B 506, 589 (1997) (hep-th/9704055); H. Markum, R. Pullirsch, and T. Wettig, Phys. Rev. Lett. 83, 484 (1999) (hep-lat/9906020); R. A. Janik, M. A. Nowak, G. Papp, and I. Zahed, Phys. Rev. Lett. 77, 4876 (1996); E. Gudowska-Nowak, G. Papp, and J. Brickmann, preprint cond-mat/9701187; Y. V. Fyodorov, B. A. Khoruzhenko, and H.-J. Sommers, Phys. Rev. Lett. 79, 557 (1997); Phys. Lett. A 226, 46 (1997); Ann. Inst. H. Poincare, Sect. A 68, 449 (1998); H.-J. Sommers, Yan V. Fyodorov, and M. Titov, J. Phys. A 32, L77 (1999) (chao-dyn/9807015); B. A. Khoruzhenko, J. Phys. A 29, L165 (1996); N. Hatano and D. R. Nelson, Phys. Rev. Lett. 77, 570 (1997) (cond-mat/9603165); Phys. Rev. B 56, 8651 (1997) (cond-mat/9705290); Phys. Rev. B 58, 8384 (1998) (cond-mat/9805195); D. R. Nelson and N. M. Shnerb, cond-mat/9708071; Phys. Rev. Lett. 80, 5172 (1998) (cond-mat/9801111); R. A. Lehrer and D. R. Nelson, Phys. Rev. B 58, 12385 (1998) (cond-mat/9806016); K. A. Dahmen, D. R. Nelson, and N. M. Shnerb, cond-mat/9903276; K. B. Efetov, Phys. Rev. Lett. 79, 491 (1997); Phys. Rev. B 56, 9630 (1997); A. V. Kolesnikov and K. B. Efetov, Waves Random Media 9, 71 (1999); Phys. Rev. Lett. 84, 5600 (2000) (cond-mat/0001263); J. Feinberg and A. Zee, Phys. Rev. E 59, 6433 (1999) (cond-mat/9706218); Nucl. Phys. B 552, 599 (1999) (cond-mat/9710040); E. Brézin and A. Zee, Nucl. Phys. B 509, 599 (1998) (cond-mat/9708029); C. Mudry, P. Brouwer, B. Halperin, V. Gurarie, and A. Zee, Phys. Rev. B 58, 13539 (1998); P. W. Brouwer, ibid. 57, 10526 (1998) (cond-mat/9711113); P. W. Brouwer, C. Mudry, B. D. Simons, and A. Altland, Phys. Rev. Lett. 81, 862 (1998) (cond-mat/9807189); C. Mudry, B. D. Simons, and A. Altlanld, Phys. Rev. Lett. 80, 4257 (1998) (cond-mat/9712103); R. A. Janik, M. A. Nowak, G. Papp, and I. Zahed, Acta Phys. Pol. B 30, 45 (1999) (cond-mat/9705098); I. Y. Goldsheid and B. A. Khoruzhenko, Phys. Rev. Lett. 80, 2897 (1998) (cond-mat/9707230); I. V. Yurkevich and I. V. Lerner, Phys. Rev. Lett. 82, 5080 (1999); P. W. Brouwer, P. G. Silvestrov, and C. W. J. Beenakker, Phys. Rev. Lett. 56, 4333 (1997) (cond-mat/9705186); P. G. Silvestrov, Phys. Rev. B 58, 10111 (1998) (cond-mat/9802219); Phys. Rev. Lett. 82, 3140 (1999) (cond-mat/9804093); cond-mat/0008118; B. Derrida, J. L. Jacobsen, and R. Zeitak, J. Stat. Phys. 98, 31 (2000) (cond-mat/9906235); G. M. Cicuta, M. Contedini, and L. Molinari, cond-mat/9907014; L. Molinari, J. Phys. A 31, 8553 (1998); J. Miller and Z. J. Wang, Phys. Rev. Lett. 76, 1461 (1996); J. T. Chalker and Z. Jane Wang, ibid. 79, 1797 (1997); Phys. Rev. E 61, 196 (2000); V. G. Benza, cond-mat/0006029; G. C. Ferrario and V. G. Benza, J. Phys.: Condens. Matter 11, 7557 (1999) (cond-mat/9907011); A. V. Izyumov and B. D. Simons, Phys. Rev. Lett. 83, 4373 (1999) (cond-mat/9910163); Europhys. Lett. 45, 290 (1999) (cond-mat/9811260); A. V. Izyumov and K. V. Samokhin, J. Phys. A 32, 7843 (1999) (cond-mat/9909407); B. Mehlig and J. T. Chalker, J. Math. Phys. 41, 3233 (2000) (cond-mat/9906279); Phys. Rev. Lett. 81, 3367 (1998) (cond-mat/9809090); Ann. Phys. (Berlin) 7, 427 (1998); R. A. Janik, W. Noerenberg, M. A. Nowak, G. Papp, and I. Zahed, Phys. Rev. E 60, 2699 (1999) (cond-mat;9902314); S. Hikami and R. Pnini, J. Phys. A 31, L587 (1998) (cond-mat/9806254); A. Sedrakyan, Nucl. Phys. B 554, 554 (1999) (cond-mat/9806301); A. A. Andrianov, F. Cannata, J. P. Dedonder, and M. V. Ioffe, Int. J. Mod. Phys. A 14, 2675 (1999) (quant-ph/9806019); F. Cannata, G. Junker, and J. Trost, Phys. Lett. A 246, 219 (1998) (quant-ph/9805085); X.-B. Wang, L. C. Kwek, and C. H. Oh, Phys. Lett. A 259, 7 (1999).
13. F. Haake, F. Izrailev, N. Lehmann, D. Saher, and H. J. Sommers, Z. Phys. B: Condens. Matter 88, 359 (1992); H. J. Sommers, A. Crisanti, H. Sompolinsky, and Y. Stein, Phys. Rev. Lett. 60, 1895 (1988); M. A. Stephanov, ibid. 76, 4472 (1996); M. A. Halasz, A. D Jackson, and J. J. M. Verbaarschot, Phys. Rev. D 56, 5140 (1997); M. A. Halasz, J. C. Osborn, and J. J. M. Verbaarschot, ibid. 56, 7059 (1997); M. A. Halasz, A. D. Jackson, R. E. Shrock, M. A. Stephanov, and J. J. M. Verbaarschot, ibid. 58, 096007 (1998) (hep-ph/9804290); T. Guhr and T. Wettig, Nucl. Phys. B 506, 589 (1997) (hep-th/9704055); H. Markum, R. Pullirsch, and T. Wettig, Phys. Rev. Lett. 83, 484 (1999) (hep-lat/9906020); R. A. Janik, M. A. Nowak, G. Papp, and I. Zahed, Phys. Rev. Lett. 77, 4876 (1996); E. Gudowska-Nowak, G. Papp, and J. Brickmann, preprint cond-mat/9701187; Y. V. Fyodorov, B. A. Khoruzhenko, and H.-J. Sommers, Phys. Rev. Lett. 79, 557 (1997); Phys. Lett. A 226, 46 (1997); Ann. Inst. H. Poincare, Sect. A 68, 449 (1998); H.-J. Sommers, Yan V. Fyodorov, and M. Titov, J. Phys. A 32, L77 (1999) (chao-dyn/9807015); B. A. Khoruzhenko, J. Phys. A 29, L165 (1996); N. Hatano and D. R. Nelson, Phys. Rev. Lett. 77, 570 (1997) (cond-mat/9603165); Phys. Rev. B 56, 8651 (1997) (cond-mat/9705290); Phys. Rev. B 58, 8384 (1998) (cond-mat/9805195); D. R. Nelson and N. M. Shnerb, cond-mat/9708071; Phys. Rev. Lett. 80, 5172 (1998) (cond-mat/9801111); R. A. Lehrer and D. R. Nelson, Phys. Rev. B 58, 12385 (1998) (cond-mat/9806016); K. A. Dahmen, D. R. Nelson, and N. M. Shnerb, cond-mat/9903276; K. B. Efetov, Phys. Rev. Lett. 79, 491 (1997); Phys. Rev. B 56, 9630 (1997); A. V. Kolesnikov and K. B. Efetov, Waves Random Media 9, 71 (1999); Phys. Rev. Lett. 84, 5600 (2000) (cond-mat/0001263); J. Feinberg and A. Zee, Phys. Rev. E 59, 6433 (1999) (cond-mat/9706218); Nucl. Phys. B 552, 599 (1999) (cond-mat/9710040); E. Brézin and A. Zee, Nucl. Phys. B 509, 599 (1998) (cond-mat/9708029); C. Mudry, P. Brouwer, B. Halperin, V. Gurarie, and A. Zee, Phys. Rev. B 58, 13539 (1998); P. W. Brouwer, ibid. 57, 10526 (1998) (cond-mat/9711113); P. W. Brouwer, C. Mudry, B. D. Simons, and A. Altland, Phys. Rev. Lett. 81, 862 (1998) (cond-mat/9807189); C. Mudry, B. D. Simons, and A. Altlanld, Phys. Rev. Lett. 80, 4257 (1998) (cond-mat/9712103); R. A. Janik, M. A. Nowak, G. Papp, and I. Zahed, Acta Phys. Pol. B 30, 45 (1999) (cond-mat/9705098); I. Y. Goldsheid and B. A. Khoruzhenko, Phys. Rev. Lett. 80, 2897 (1998) (cond-mat/9707230); I. V. Yurkevich and I. V. Lerner, Phys. Rev. Lett. 82, 5080 (1999); P. W. Brouwer, P. G. Silvestrov, and C. W. J. Beenakker, Phys. Rev. Lett. 56, 4333 (1997) (cond-mat/9705186); P. G. Silvestrov, Phys. Rev. B 58, 10111 (1998) (cond-mat/9802219); Phys. Rev. Lett. 82, 3140 (1999) (cond-mat/9804093); cond-mat/0008118; B. Derrida, J. L. Jacobsen, and R. Zeitak, J. Stat. Phys. 98, 31 (2000) (cond-mat/9906235); G. M. Cicuta, M. Contedini, and L. Molinari, cond-mat/9907014; L. Molinari, J. Phys. A 31, 8553 (1998); J. Miller and Z. J. Wang, Phys. Rev. Lett. 76, 1461 (1996); J. T. Chalker and Z. Jane Wang, ibid. 79, 1797 (1997); Phys. Rev. E 61, 196 (2000); V. G. Benza, cond-mat/0006029; G. C. Ferrario and V. G. Benza, J. Phys.: Condens. Matter 11, 7557 (1999) (cond-mat/9907011); A. V. Izyumov and B. D. Simons, Phys. Rev. Lett. 83, 4373 (1999) (cond-mat/9910163); Europhys. Lett. 45, 290 (1999) (cond-mat/9811260); A. V. Izyumov and K. V. Samokhin, J. Phys. A 32, 7843 (1999) (cond-mat/9909407); B. Mehlig and J. T. Chalker, J. Math. Phys. 41, 3233 (2000) (cond-mat/9906279); Phys. Rev. Lett. 81, 3367 (1998) (cond-mat/9809090); Ann. Phys. (Berlin) 7, 427 (1998); R. A. Janik, W. Noerenberg, M. A. Nowak, G. Papp, and I. Zahed, Phys. Rev. E 60, 2699 (1999) (cond-mat;9902314); S. Hikami and R. Pnini, J. Phys. A 31, L587 (1998) (cond-mat/9806254); A. Sedrakyan, Nucl. Phys. B 554, 554 (1999) (cond-mat/9806301); A. A. Andrianov, F. Cannata, J. P. Dedonder, and M. V. Ioffe, Int. J. Mod. Phys. A 14, 2675 (1999) (quant-ph/9806019); F. Cannata, G. Junker, and J. Trost, Phys. Lett. A 246, 219 (1998) (quant-ph/9805085); X.-B. Wang, L. C. Kwek, and C. H. Oh, Phys. Lett. A 259, 7 (1999).
14. F. Haake, F. Izrailev, N. Lehmann, D. Saher, and H. J. Sommers, Z. Phys. B: Condens. Matter 88, 359 (1992); H. J. Sommers, A. Crisanti, H. Sompolinsky, and Y. Stein, Phys. Rev. Lett. 60, 1895 (1988); M. A. Stephanov, ibid. 76, 4472 (1996); M. A. Halasz, A. D Jackson, and J. J. M. Verbaarschot, Phys. Rev. D 56, 5140 (1997); M. A. Halasz, J. C. Osborn, and J. J. M. Verbaarschot, ibid. 56, 7059 (1997); M. A. Halasz, A. D. Jackson, R. E. Shrock, M. A. Stephanov, and J. J. M. Verbaarschot, ibid. 58, 096007 (1998) (hep-ph/9804290); T. Guhr and T. Wettig, Nucl. Phys. B 506, 589 (1997) (hep-th/9704055); H. Markum, R. Pullirsch, and T. Wettig, Phys. Rev. Lett. 83, 484 (1999) (hep-lat/9906020); R. A. Janik, M. A. Nowak, G. Papp, and I. Zahed, Phys. Rev. Lett. 77, 4876 (1996); E. Gudowska-Nowak, G. Papp, and J. Brickmann, preprint cond-mat/9701187; Y. V. Fyodorov, B. A. Khoruzhenko, and H.-J. Sommers, Phys. Rev. Lett. 79, 557 (1997); Phys. Lett. A 226, 46 (1997); Ann. Inst. H. Poincare, Sect. A 68, 449 (1998); H.-J. Sommers, Yan V. Fyodorov, and M. Titov, J. Phys. A 32, L77 (1999) (chao-dyn/9807015); B. A. Khoruzhenko, J. Phys. A 29, L165 (1996); N. Hatano and D. R. Nelson, Phys. Rev. Lett. 77, 570 (1997) (cond-mat/9603165); Phys. Rev. B 56, 8651 (1997) (cond-mat/9705290); Phys. Rev. B 58, 8384 (1998) (cond-mat/9805195); D. R. Nelson and N. M. Shnerb, cond-mat/9708071; Phys. Rev. Lett. 80, 5172 (1998) (cond-mat/9801111); R. A. Lehrer and D. R. Nelson, Phys. Rev. B 58, 12385 (1998) (cond-mat/9806016); K. A. Dahmen, D. R. Nelson, and N. M. Shnerb, cond-mat/9903276; K. B. Efetov, Phys. Rev. Lett. 79, 491 (1997); Phys. Rev. B 56, 9630 (1997); A. V. Kolesnikov and K. B. Efetov, Waves Random Media 9, 71 (1999); Phys. Rev. Lett. 84, 5600 (2000) (cond-mat/0001263); J. Feinberg and A. Zee, Phys. Rev. E 59, 6433 (1999) (cond-mat/9706218); Nucl. Phys. B 552, 599 (1999) (cond-mat/9710040); E. Brézin and A. Zee, Nucl. Phys. B 509, 599 (1998) (cond-mat/9708029); C. Mudry, P. Brouwer, B. Halperin, V. Gurarie, and A. Zee, Phys. Rev. B 58, 13539 (1998); P. W. Brouwer, ibid. 57, 10526 (1998) (cond-mat/9711113); P. W. Brouwer, C. Mudry, B. D. Simons, and A. Altland, Phys. Rev. Lett. 81, 862 (1998) (cond-mat/9807189); C. Mudry, B. D. Simons, and A. Altlanld, Phys. Rev. Lett. 80, 4257 (1998) (cond-mat/9712103); R. A. Janik, M. A. Nowak, G. Papp, and I. Zahed, Acta Phys. Pol. B 30, 45 (1999) (cond-mat/9705098); I. Y. Goldsheid and B. A. Khoruzhenko, Phys. Rev. Lett. 80, 2897 (1998) (cond-mat/9707230); I. V. Yurkevich and I. V. Lerner, Phys. Rev. Lett. 82, 5080 (1999); P. W. Brouwer, P. G. Silvestrov, and C. W. J. Beenakker, Phys. Rev. Lett. 56, 4333 (1997) (cond-mat/9705186); P. G. Silvestrov, Phys. Rev. B 58, 10111 (1998) (cond-mat/9802219); Phys. Rev. Lett. 82, 3140 (1999) (cond-mat/9804093); cond-mat/0008118; B. Derrida, J. L. Jacobsen, and R. Zeitak, J. Stat. Phys. 98, 31 (2000) (cond-mat/9906235); G. M. Cicuta, M. Contedini, and L. Molinari, cond-mat/9907014; L. Molinari, J. Phys. A 31, 8553 (1998); J. Miller and Z. J. Wang, Phys. Rev. Lett. 76, 1461 (1996); J. T. Chalker and Z. Jane Wang, ibid. 79, 1797 (1997); Phys. Rev. E 61, 196 (2000); V. G. Benza, cond-mat/0006029; G. C. Ferrario and V. G. Benza, J. Phys.: Condens. Matter 11, 7557 (1999) (cond-mat/9907011); A. V. Izyumov and B. D. Simons, Phys. Rev. Lett. 83, 4373 (1999) (cond-mat/9910163); Europhys. Lett. 45, 290 (1999) (cond-mat/9811260); A. V. Izyumov and K. V. Samokhin, J. Phys. A 32, 7843 (1999) (cond-mat/9909407); B. Mehlig and J. T. Chalker, J. Math. Phys. 41, 3233 (2000) (cond-mat/9906279); Phys. Rev. Lett. 81, 3367 (1998) (cond-mat/9809090); Ann. Phys. (Berlin) 7, 427 (1998); R. A. Janik, W. Noerenberg, M. A. Nowak, G. Papp, and I. Zahed, Phys. Rev. E 60, 2699 (1999) (cond-mat;9902314); S. Hikami and R. Pnini, J. Phys. A 31, L587 (1998) (cond-mat/9806254); A. Sedrakyan, Nucl. Phys. B 554, 554 (1999) (cond-mat/9806301); A. A. Andrianov, F. Cannata, J. P. Dedonder, and M. V. Ioffe, Int. J. Mod. Phys. A 14, 2675 (1999) (quant-ph/9806019); F. Cannata, G. Junker, and J. Trost, Phys. Lett. A 246, 219 (1998) (quant-ph/9805085); X.-B. Wang, L. C. Kwek, and C. H. Oh, Phys. Lett. A 259, 7 (1999).
15. F. Haake, F. Izrailev, N. Lehmann, D. Saher, and H. J. Sommers, Z. Phys. B: Condens. Matter 88, 359 (1992); H. J. Sommers, A. Crisanti, H. Sompolinsky, and Y. Stein, Phys. Rev. Lett. 60, 1895 (1988); M. A. Stephanov, ibid. 76, 4472 (1996); M. A. Halasz, A. D Jackson, and J. J. M. Verbaarschot, Phys. Rev. D 56, 5140 (1997); M. A. Halasz, J. C. Osborn, and J. J. M. Verbaarschot, ibid. 56, 7059 (1997); M. A. Halasz, A. D. Jackson, R. E. Shrock, M. A. Stephanov, and J. J. M. Verbaarschot, ibid. 58, 096007 (1998) (hep-ph/9804290); T. Guhr and T. Wettig, Nucl. Phys. B 506, 589 (1997) (hep-th/9704055); H. Markum, R. Pullirsch, and T. Wettig, Phys. Rev. Lett. 83, 484 (1999) (hep-lat/9906020); R. A. Janik, M. A. Nowak, G. Papp, and I. Zahed, Phys. Rev. Lett. 77, 4876 (1996); E. Gudowska-Nowak, G. Papp, and J. Brickmann, preprint cond-mat/9701187; Y. V. Fyodorov, B. A. Khoruzhenko, and H.-J. Sommers, Phys. Rev. Lett. 79, 557 (1997); Phys. Lett. A 226, 46 (1997); Ann. Inst. H. Poincare, Sect. A 68, 449 (1998); H.-J. Sommers, Yan V. Fyodorov, and M. Titov, J. Phys. A 32, L77 (1999) (chao-dyn/9807015); B. A. Khoruzhenko, J. Phys. A 29, L165 (1996); N. Hatano and D. R. Nelson, Phys. Rev. Lett. 77, 570 (1997) (cond-mat/9603165); Phys. Rev. B 56, 8651 (1997) (cond-mat/9705290); Phys. Rev. B 58, 8384 (1998) (cond-mat/9805195); D. R. Nelson and N. M. Shnerb, cond-mat/9708071; Phys. Rev. Lett. 80, 5172 (1998) (cond-mat/9801111); R. A. Lehrer and D. R. Nelson, Phys. Rev. B 58, 12385 (1998) (cond-mat/9806016); K. A. Dahmen, D. R. Nelson, and N. M. Shnerb, cond-mat/9903276; K. B. Efetov, Phys. Rev. Lett. 79, 491 (1997); Phys. Rev. B 56, 9630 (1997); A. V. Kolesnikov and K. B. Efetov, Waves Random Media 9, 71 (1999); Phys. Rev. Lett. 84, 5600 (2000) (cond-mat/0001263); J. Feinberg and A. Zee, Phys. Rev. E 59, 6433 (1999) (cond-mat/9706218); Nucl. Phys. B 552, 599 (1999) (cond-mat/9710040); E. Brézin and A. Zee, Nucl. Phys. B 509, 599 (1998) (cond-mat/9708029); C. Mudry, P. Brouwer, B. Halperin, V. Gurarie, and A. Zee, Phys. Rev. B 58, 13539 (1998); P. W. Brouwer, ibid. 57, 10526 (1998) (cond-mat/9711113); P. W. Brouwer, C. Mudry, B. D. Simons, and A. Altland, Phys. Rev. Lett. 81, 862 (1998) (cond-mat/9807189); C. Mudry, B. D. Simons, and A. Altlanld, Phys. Rev. Lett. 80, 4257 (1998) (cond-mat/9712103); R. A. Janik, M. A. Nowak, G. Papp, and I. Zahed, Acta Phys. Pol. B 30, 45 (1999) (cond-mat/9705098); I. Y. Goldsheid and B. A. Khoruzhenko, Phys. Rev. Lett. 80, 2897 (1998) (cond-mat/9707230); I. V. Yurkevich and I. V. Lerner, Phys. Rev. Lett. 82, 5080 (1999); P. W. Brouwer, P. G. Silvestrov, and C. W. J. Beenakker, Phys. Rev. Lett. 56, 4333 (1997) (cond-mat/9705186); P. G. Silvestrov, Phys. Rev. B 58, 10111 (1998) (cond-mat/9802219); Phys. Rev. Lett. 82, 3140 (1999) (cond-mat/9804093); cond-mat/0008118; B. Derrida, J. L. Jacobsen, and R. Zeitak, J. Stat. Phys. 98, 31 (2000) (cond-mat/9906235); G. M. Cicuta, M. Contedini, and L. Molinari, cond-mat/9907014; L. Molinari, J. Phys. A 31, 8553 (1998); J. Miller and Z. J. Wang, Phys. Rev. Lett. 76, 1461 (1996); J. T. Chalker and Z. Jane Wang, ibid. 79, 1797 (1997); Phys. Rev. E 61, 196 (2000); V. G. Benza, cond-mat/0006029; G. C. Ferrario and V. G. Benza, J. Phys.: Condens. Matter 11,
16. F. Haake, F. Izrailev, N. Lehmann, D. Saher, and H. J. Sommers, Z. Phys. B: Condens. Matter 88, 359 (1992); H. J. Sommers, A. Crisanti, H. Sompolinsky, and Y. Stein, Phys. Rev. Lett. 60, 1895 (1988); M. A. Stephanov, ibid. 76, 4472 (1996); M. A. Halasz, A. D Jackson, and J. J. M. Verbaarschot, Phys. Rev. D 56, 5140 (1997); M. A. Halasz, J. C. Osborn, and J. J. M. Verbaarschot, ibid. 56, 7059 (1997); M. A. Halasz, A. D. Jackson, R. E. Shrock, M. A. Stephanov, and J. J. M. Verbaarschot, ibid. 58, 096007 (1998) (hep-ph/9804290); T. Guhr and T. Wettig, Nucl. Phys. B 506, 589 (1997) (hep-th/9704055); H. Markum, R. Pullirsch, and T. Wettig, Phys. Rev. Lett. 83, 484 (1999) (hep-lat/9906020); R. A. Janik, M. A. Nowak, G. Papp, and I. Zahed, Phys. Rev. Lett. 77, 4876 (1996); E. Gudowska-Nowak, G. Papp, and J. Brickmann, preprint cond-mat/9701187; Y. V. Fyodorov, B. A. Khoruzhenko, and H.-J. Sommers, Phys. Rev. Lett. 79, 557 (1997); Phys. Lett. A 226, 46 (1997); Ann. Inst. H. Poincare, Sect. A 68, 449 (1998); H.-J. Sommers, Yan V. Fyodorov, and M. Titov, J. Phys. A 32, L77 (1999) (chao-dyn/9807015); B. A. Khoruzhenko, J. Phys. A 29, L165 (1996); N. Hatano and D. R. Nelson, Phys. Rev. Lett. 77, 570 (1997) (cond-mat/9603165); Phys. Rev. B 56, 8651 (1997) (cond-mat/9705290); Phys. Rev. B 58, 8384 (1998) (cond-mat/9805195); D. R. Nelson and N. M. Shnerb, cond-mat/9708071; Phys. Rev. Lett. 80, 5172 (1998) (cond-mat/9801111); R. A. Lehrer and D. R. Nelson, Phys. Rev. B 58, 12385 (1998) (cond-mat/9806016); K. A. Dahmen, D. R. Nelson, and N. M. Shnerb, cond-mat/9903276; K. B. Efetov, Phys. Rev. Lett. 79, 491 (1997); Phys. Rev. B 56, 9630 (1997); A. V. Kolesnikov and K. B. Efetov, Waves Random Media 9, 71 (1999); Phys. Rev. Lett. 84, 5600 (2000) (cond-mat/0001263); J. Feinberg and A. Zee, Phys. Rev. E 59, 6433 (1999) (cond-mat/9706218); Nucl. Phys. B 552, 599 (1999) (cond-mat/9710040); E. Brézin and A. Zee, Nucl. Phys. B 509, 599 (1998) (cond-mat/9708029); C. Mudry, P. Brouwer, B. Halperin, V. Gurarie, and A. Zee, Phys. Rev. B 58, 13539 (1998); P. W. Brouwer, ibid. 57, 10526 (1998) (cond-mat/9711113); P. W. Brouwer, C. Mudry, B. D. Simons, and A. Altland, Phys. Rev. Lett. 81, 862 (1998) (cond-mat/9807189); C. Mudry, B. D. Simons, and A. Altlanld, Phys. Rev. Lett. 80, 4257 (1998) (cond-mat/9712103); R. A. Janik, M. A. Nowak, G. Papp, and I. Zahed, Acta Phys. Pol. B 30, 45 (1999) (cond-mat/9705098); I. Y. Goldsheid and B. A. Khoruzhenko, Phys. Rev. Lett. 80, 2897 (1998) (cond-mat/9707230); I. V. Yurkevich and I. V. Lerner, Phys. Rev. Lett. 82, 5080 (1999); P. W. Brouwer, P. G. Silvestrov, and C. W. J. Beenakker, Phys. Rev. Lett. 56, 4333 (1997) (cond-mat/9705186); P. G. Silvestrov, Phys. Rev. B 58, 10111 (1998) (cond-mat/9802219); Phys. Rev. Lett. 82, 3140 (1999) (cond-mat/9804093); cond-mat/0008118; B. Derrida, J. L. Jacobsen, and R. Zeitak, J. Stat. Phys. 98, 31 (2000) (cond-mat/9906235); G. M. Cicuta, M. Contedini, and L. Molinari, cond-mat/9907014; L. Molinari, J. Phys. A 31, 8553 (1998); J. Miller and Z. J. Wang, Phys. Rev. Lett. 76, 1461 (1996); J. T. Chalker and Z. Jane Wang, ibid. 79, 1797 (1997); Phys. Rev. E 61, 196 (2000); V. G. Benza, cond-mat/0006029; G. C. Ferrario and V. G. Benza, J. Phys.: Condens. Matter 11, 7557 (1999) (cond-mat/9907011); A. V. Izyumov and B. D. Simons, Phys. Rev. Lett. 83, 4373 (1999) (cond-mat/9910163); Europhys. Lett. 45, 290 (1999) (cond-mat/9811260); A. V. Izyumov and K. V. Samokhin, J. Phys. A 32, 7843 (1999) (cond-mat/9909407); B. Mehlig and J. T. Chalker, J. Math. Phys. 41, 3233 (2000) (cond-mat/9906279); Phys. Rev. Lett. 81, 3367 (1998) (cond-mat/9809090); Ann. Phys. (Berlin) 7, 427 (1998); R. A. Janik, W. Noerenberg, M. A. Nowak, G. Papp, and I. Zahed, Phys. Rev. E 60, 2699 (1999) (cond-mat;9902314); S. Hikami and R. Pnini, J. Phys. A 31, L587 (1998) (cond-mat/9806254); A. Sedrakyan, Nucl. Phys. B 554, 554 (1999) (cond-mat/9806301); A. A. Andrianov, F. Cannata, J. P. Dedonder, and M. V. Ioffe, Int. J. Mod. Phys. A 14, 2675 (1999) (quant-ph/9806019); F. Cannata, G. Junker, and J. Trost, Phys. Lett. A 246, 219 (1998) (quant-ph/9805085); X.-B. Wang, L. C. Kwek, and C. H. Oh, Phys. Lett. A 259, 7 (1999).
17. F. Haake, F. Izrailev, N. Lehmann, D. Saher, and H. J. Sommers, Z. Phys. B: Condens. Matter 88, 359 (1992); H. J. Sommers, A. Crisanti, H. Sompolinsky, and Y. Stein, Phys. Rev. Lett. 60, 1895 (1988); M. A. Stephanov, ibid. 76, 4472 (1996); M. A. Halasz, A. D Jackson, and J. J. M. Verbaarschot, Phys. Rev. D 56, 5140 (1997); M. A. Halasz, J. C. Osborn, and J. J. M. Verbaarschot, ibid. 56, 7059 (1997); M. A. Halasz, A. D. Jackson, R. E. Shrock, M. A. Stephanov, and J. J. M. Verbaarschot, ibid. 58, 096007 (1998) (hep-ph/9804290); T. Guhr and T. Wettig, Nucl. Phys. B 506, 589 (1997) (hep-th/9704055); H. Markum, R. Pullirsch, and T. Wettig, Phys. Rev. Lett. 83, 484 (1999) (hep-lat/9906020); R. A. Janik, M. A. Nowak, G. Papp, and I. Zahed, Phys. Rev. Lett. 77, 4876 (1996); E. Gudowska-Nowak, G. Papp, and J. Brickmann, preprint cond-mat/9701187; Y. V. Fyodorov, B. A. Khoruzhenko, and H.-J. Sommers, Phys. Rev. Lett. 79, 557 (1997); Phys. Lett. A 226, 46 (1997); Ann. Inst. H. Poincare, Sect. A 68, 449 (1998); H.-J. Sommers, Yan V. Fyodorov, and M. Titov, J. Phys. A 32, L77 (1999) (chao-dyn/9807015); B. A. Khoruzhenko, J. Phys. A 29, L165 (1996); N. Hatano and D. R. Nelson, Phys. Rev. Lett. 77, 570 (1997) (cond-mat/9603165); Phys. Rev. B 56, 8651 (1997) (cond-mat/9705290); Phys. Rev. B 58, 8384 (1998) (cond-mat/9805195); D. R. Nelson and N. M. Shnerb, cond-mat/9708071; Phys. Rev. Lett. 80, 5172 (1998) (cond-mat/9801111); R. A. Lehrer and D. R. Nelson, Phys. Rev. B 58, 12385 (1998) (cond-mat/9806016); K. A. Dahmen, D. R. Nelson, and N. M. Shnerb, cond-mat/9903276; K. B. Efetov, Phys. Rev. Lett. 79, 491 (1997); Phys. Rev. B 56, 9630 (1997); A. V. Kolesnikov and K. B. Efetov, Waves Random Media 9, 71 (1999); Phys. Rev. Lett. 84, 5600 (2000) (cond-mat/0001263); J. Feinberg and A. Zee, Phys. Rev. E 59, 6433 (1999) (cond-mat/9706218); Nucl. Phys. B 552, 599 (1999) (cond-mat/9710040); E. Brézin and A. Zee, Nucl. Phys. B 509, 599 (1998) (cond-mat/9708029); C. Mudry, P. Brouwer, B. Halperin, V. Gurarie, and A. Zee, Phys. Rev. B 58, 13539 (1998); P. W. Brouwer, ibid. 57, 10526 (1998) (cond-mat/9711113); P. W. Brouwer, C. Mudry, B. D. Simons, and A. Altland, Phys. Rev. Lett. 81, 862 (1998) (cond-mat/9807189); C. Mudry, B. D. Simons, and A. Altlanld, Phys. Rev. Lett. 80, 4257 (1998) (cond-mat/9712103); R. A. Janik, M. A. Nowak, G. Papp, and I. Zahed, Acta Phys. Pol. B 30, 45 (1999) (cond-mat/9705098); I. Y. Goldsheid and B. A. Khoruzhenko, Phys. Rev. Lett. 80, 2897 (1998) (cond-mat/9707230); I. V. Yurkevich and I. V. Lerner, Phys. Rev. Lett. 82, 5080 (1999); P. W. Brouwer, P. G. Silvestrov, and C. W. J. Beenakker, Phys. Rev. Lett. 56, 4333 (1997) (cond-mat/9705186); P. G. Silvestrov, Phys. Rev. B 58, 10111 (1998) (cond-mat/9802219); Phys. Rev. Lett. 82, 3140 (1999) (cond-mat/9804093); cond-mat/0008118; B. Derrida, J. L. Jacobsen, and R. Zeitak, J. Stat. Phys. 98, 31 (2000) (cond-mat/9906235); G. M. Cicuta, M. Contedini, and L. Molinari, cond-mat/9907014; L. Molinari, J. Phys. A 31, 8553 (1998); J. Miller and Z. J. Wang, Phys. Rev. Lett. 76, 1461 (1996); J. T. Chalker and Z. Jane Wang, ibid. 79, 1797 (1997); Phys. Rev. E 61, 196 (2000); V. G. Benza, cond-mat/0006029; G. C. Ferrario and V. G. Benza, J. Phys.: Condens. Matter 11, 7557 (1999) (cond-mat/9907011); A. V. Izyumov and B. D. Simons, Phys. Rev. Lett. 83, 4373 (1999) (cond-mat/9910163); Europhys. Lett. 45, 290 (1999) (cond-mat/9811260); A. V. Izyumov and K. V. Samokhin, J. Phys. A 32, 7843 (1999) (cond-mat/9909407); B. Mehlig and J. T. Chalker, J. Math. Phys. 41, 3233 (2000) (cond-mat/9906279); Phys. Rev. Lett. 81, 3367 (1998) (cond-mat/9809090); Ann. Phys. (Berlin) 7, 427 (1998); R. A. Janik, W. Noerenberg, M. A. Nowak, G. Papp, and I. Zahed, Phys. Rev. E 60, 2699 (1999) (cond-mat;9902314); S. Hikami and R. Pnini, J. Phys. A 31, L587 (1998) (cond-mat/9806254); A. Sedrakyan, Nucl. Phys. B 554, 554 (1999) (cond-mat/9806301); A. A. Andrianov, F. Cannata, J. P. Dedonder, and M. V. Ioffe, Int. J. Mod. Phys. A 14, 2675 (1999) (quant-ph/9806019); F. Cannata, G. Junker, and J. Trost, Phys. Lett. A 246, 219 (1998) (quant-ph/9805085); X.-B. Wang, L. C. Kwek, and C. H. Oh, Phys. Lett. A 259, 7 (1999).
18. F. Haake, F. Izrailev, N. Lehmann, D. Saher, and H. J. Sommers, Z. Phys. B: Condens. Matter 88, 359 (1992); H. J. Sommers, A. Crisanti, H. Sompolinsky, and Y. Stein, Phys. Rev. Lett. 60, 1895 (1988); M. A. Stephanov, ibid. 76, 4472 (1996); M. A. Halasz, A. D Jackson, and J. J. M. Verbaarschot, Phys. Rev. D 56, 5140 (1997); M. A. Halasz, J. C. Osborn, and J. J. M. Verbaarschot, ibid. 56, 7059 (1997); M. A. Halasz, A. D. Jackson, R. E. Shrock, M. A. Stephanov, and J. J. M. Verbaarschot, ibid. 58, 096007 (1998) (hep-ph/9804290); T. Guhr and T. Wettig, Nucl. Phys. B 506, 589 (1997) (hep-th/9704055); H. Markum, R. Pullirsch, and T. Wettig, Phys. Rev. Lett. 83, 484 (1999) (hep-lat/9906020); R. A. Janik, M. A. Nowak, G. Papp, and I. Zahed, Phys. Rev. Lett. 77, 4876 (1996); E. Gudowska-Nowak, G. Papp, and J. Brickmann, preprint cond-mat/9701187; Y. V. Fyodorov, B. A. Khoruzhenko, and H.-J. Sommers, Phys. Rev. Lett. 79, 557 (1997); Phys. Lett. A 226, 46 (1997); Ann. Inst. H. Poincare, Sect. A 68, 449 (1998); H.-J. Sommers, Yan V. Fyodorov, and M. Titov, J. Phys. A 32, L77 (1999) (chao-dyn/9807015); B. A. Khoruzhenko, J. Phys. A 29, L165 (1996); N. Hatano and D. R. Nelson, Phys. Rev. Lett. 77, 570 (1997) (cond-mat/9603165); Phys. Rev. B 56, 8651 (1997) (cond-mat/9705290); Phys. Rev. B 58, 8384 (1998) (cond-mat/9805195); D. R. Nelson and N. M. Shnerb, cond-mat/9708071; Phys. Rev. Lett. 80, 5172 (1998) (cond-mat/9801111); R. A. Lehrer and D. R. Nelson, Phys. Rev. B 58, 12385 (1998) (cond-mat/9806016); K. A. Dahmen, D. R. Nelson, and N. M. Shnerb, cond-mat/9903276; K. B. Efetov, Phys. Rev. Lett. 79, 491 (1997); Phys. Rev. B 56, 9630 (1997); A. V. Kolesnikov and K. B. Efetov, Waves Random Media 9, 71 (1999); Phys. Rev. Lett. 84, 5600 (2000) (cond-mat/0001263); J. Feinberg and A. Zee, Phys. Rev. E 59, 6433 (1999) (cond-mat/9706218); Nucl. Phys. B 552, 599 (1999) (cond-mat/9710040); E. Brézin and A. Zee, Nucl. Phys. B 509, 599 (1998) (cond-mat/9708029); C. Mudry, P. Brouwer, B. Halperin, V. Gurarie, and A. Zee, Phys. Rev. B 58, 13539 (1998); P. W. Brouwer, ibid. 57, 10526 (1998) (cond-mat/9711113); P. W. Brouwer, C. Mudry, B. D. Simons, and A. Altland, Phys. Rev. Lett. 81, 862 (1998) (cond-mat/9807189); C. Mudry, B. D. Simons, and A. Altlanld, Phys. Rev. Lett. 80, 4257 (1998) (cond-mat/9712103); R. A. Janik, M. A. Nowak, G. Papp, and I. Zahed, Acta Phys. Pol. B 30, 45 (1999) (cond-mat/9705098); I. Y. Goldsheid and B. A. Khoruzhenko, Phys. Rev. Lett. 80, 2897 (1998) (cond-mat/9707230); I. V. Yurkevich and I. V. Lerner, Phys. Rev. Lett. 82, 5080 (1999); P. W. Brouwer, P. G. Silvestrov, and C. W. J. Beenakker, Phys. Rev. Lett. 56, 4333 (1997) (cond-mat/9705186); P. G. Silvestrov, Phys. Rev. B 58, 10111 (1998) (cond-mat/9802219); Phys. Rev. Lett. 82, 3140 (1999) (cond-mat/9804093); cond-mat/0008118; B. Derrida, J. L. Jacobsen, and R. Zeitak, J. Stat. Phys. 98, 31 (2000) (cond-mat/9906235); G. M. Cicuta, M. Contedini, and L. Molinari, cond-mat/9907014; L. Molinari, J. Phys. A 31, 8553 (1998); J. Miller and Z. J. Wang, Phys. Rev. Lett. 76, 1461 (1996); J. T. Chalker and Z. Jane Wang, ibid. 79, 1797 (1997); Phys. Rev. E 61, 196 (2000); V. G. Benza, cond-mat/0006029; G. C. Ferrario and V. G. Benza, J. Phys.: Condens. Matter 11, 7557 (1999) (cond-mat/9907011); A. V. Izyumov and B. D. Simons, Phys. Rev. Lett. 83, 4373 (1999) (cond-mat/9910163); Europhys. Lett. 45, 290 (1999) (cond-mat/9811260); A. V. Izyumov and K. V. Samokhin, J. Phys. A 32, 7843 (1999) (cond-mat/9909407); B. Mehlig and J. T. Chalker, J. Math. Phys. 41, 3233 (2000) (cond-mat/9906279); Phys. Rev. Lett. 81, 3367 (1998) (cond-mat/9809090); Ann. Phys. (Berlin) 7, 427 (1998); R. A. Janik, W. Noerenberg, M. A. Nowak, G. Papp, and I. Zahed, Phys. Rev. E 60, 2699 (1999) (cond-mat;9902314); S. Hikami and R. Pnini, J. Phys. A 31, L587 (1998) (cond-mat/9806254); A. Sedrakyan, Nucl. Phys. B 554, 554 (1999) (cond-mat/9806301); A. A. Andrianov, F. Cannata, J. P. Dedonder, and M. V. Ioffe, Int. J. Mod. Phys. A 14, 2675 (1999) (quant-ph/9806019); F. Cannata, G. Junker, and J. Trost, Phys. Lett. A 246, 219 (1998) (quant-ph/9805085); X.-B. Wang, L. C. Kwek, and C. H. Oh, Phys. Lett. A 259, 7 (1999).
19. F. Haake, F. Izrailev, N. Lehmann, D. Saher, and H. J. Sommers, Z. Phys. B: Condens. Matter 88, 359 (1992); H. J. Sommers, A. Crisanti, H. Sompolinsky, and Y. Stein, Phys. Rev. Lett. 60, 1895 (1988); M. A. Stephanov, ibid. 76, 4472 (1996); M. A. Halasz, A. D Jackson, and J. J. M. Verbaarschot, Phys. Rev. D 56, 5140 (1997); M. A. Halasz, J. C. Osborn, and J. J. M. Verbaarschot, ibid. 56, 7059 (1997); M. A. Halasz, A. D. Jackson, R. E. Shrock, M. A. Stephanov, and J. J. M. Verbaarschot, ibid. 58, 096007 (1998) (hep-ph/9804290); T. Guhr and T. Wettig, Nucl. Phys. B 506, 589 (1997) (hep-th/9704055); H. Markum, R. Pullirsch, and T. Wettig, Phys. Rev. Lett. 83, 484 (1999) (hep-lat/9906020); R. A. Janik, M. A. Nowak, G. Papp, and I. Zahed, Phys. Rev. Lett. 77, 4876 (1996); E. Gudowska-Nowak, G. Papp, and J. Brickmann, preprint cond-mat/9701187; Y. V. Fyodorov, B. A. Khoruzhenko, and H.-J. Sommers, Phys. Rev. Lett. 79, 557 (1997); Phys. Lett. A 226, 46 (1997); Ann. Inst. H. Poincare, Sect. A 68, 449 (1998); H.-J. Sommers, Yan V. Fyodorov, and M. Titov, J. Phys. A 32, L77 (1999) (chao-dyn/9807015); B. A. Khoruzhenko, J. Phys. A 29, L165 (1996); N. Hatano and D. R. Nelson, Phys. Rev. Lett. 77, 570 (1997) (cond-mat/9603165); Phys. Rev. B 56, 8651 (1997) (cond-mat/9705290); Phys. Rev. B 58, 8384 (1998) (cond-mat/9805195); D. R. Nelson and N. M. Shnerb, cond-mat/9708071; Phys. Rev. Lett. 80, 5172 (1998) (cond-mat/9801111); R. A. Lehrer and D. R. Nelson, Phys. Rev. B 58, 12385 (1998) (cond-mat/9806016); K. A. Dahmen, D. R. Nelson, and N. M. Shnerb, cond-mat/9903276; K. B. Efetov, Phys. Rev. Lett. 79, 491 (1997); Phys. Rev. B 56, 9630 (1997); A. V. Kolesnikov and K. B. Efetov, Waves Random Media 9, 71 (1999); Phys. Rev. Lett. 84, 5600 (2000) (cond-mat/0001263); J. Feinberg and A. Zee, Phys. Rev. E 59, 6433 (1999) (cond-mat/9706218); Nucl. Phys. B 552, 599 (1999) (cond-mat/9710040); E. Brézin and A. Zee, Nucl. Phys. B 509, 599 (1998) (cond-mat/9708029); C. Mudry, P. Brouwer, B. Halperin, V. Gurarie, and A. Zee, Phys. Rev. B 58, 13539 (1998); P. W. Brouwer, ibid. 57, 10526 (1998) (cond-mat/9711113); P. W. Brouwer, C. Mudry, B. D. Simons, and A. Altland, Phys. Rev. Lett. 81, 862 (1998) (cond-mat/9807189); C. Mudry, B. D. Simons, and A. Altlanld, Phys. Rev. Lett. 80, 4257 (1998) (cond-mat/9712103); R. A. Janik, M. A. Nowak, G. Papp, and I. Zahed, Acta Phys. Pol. B 30, 45 (1999) (cond-mat/9705098); I. Y. Goldsheid and B. A. Khoruzhenko, Phys. Rev. Lett. 80, 2897 (1998) (cond-mat/9707230); I. V. Yurkevich and I. V. Lerner, Phys. Rev. Lett. 82, 5080 (1999); P. W. Brouwer, P. G. Silvestrov, and C. W. J. Beenakker, Phys. Rev. Lett. 56, 4333 (1997) (cond-mat/9705186); P. G. Silvestrov, Phys. Rev. B 58, 10111 (1998) (cond-mat/9802219); Phys. Rev. Lett. 82, 3140 (1999) (cond-mat/9804093); cond-mat/0008118; B. Derrida, J. L. Jacobsen, and R. Zeitak, J. Stat. Phys. 98, 31 (2000) (cond-mat/9906235); G. M. Cicuta, M. Contedini, and L. Molinari, cond-mat/9907014; L. Molinari, J. Phys. A 31, 8553 (1998); J. Miller and Z. J. Wang, Phys. Rev. Lett. 76, 1461 (1996); J. T. Chalker and Z. Jane Wang, ibid. 79, 1797 (1997); Phys. Rev. E 61, 196 (2000); V. G. Benza, cond-mat/0006029; G. C. Ferrario and V. G. Benza, J. Phys.: Condens. Matter 11, 7557 (1999) (cond-mat/9907011); A. V. Izyumov and B. D. Simons, Phys. Rev. Lett. 83, 4373 (1999) (cond-mat/9910163); Europhys. Lett. 45, 290 (1999) (cond-mat/9811260); A. V. Izyumov and K. V. Samokhin, J. Phys. A 32, 7843 (1999) (cond-mat/9909407); B. Mehlig and J. T. Chalker, J. Math. Phys. 41, 3233 (2000) (cond-mat/9906279); Phys. Rev. Lett. 81, 3367 (1998) (cond-mat/9809090); Ann. Phys. (Berlin) 7, 427 (1998); R. A. Janik, W. Noerenberg, M. A. Nowak, G. Papp, and I. Zahed, Phys. Rev. E 60, 2699 (1999) (cond-mat;9902314); S. Hikami and R. Pnini, J. Phys. A 31, L587 (1998) (cond-mat/9806254); A. Sedrakyan, Nucl. Phys. B 554, 554 (1999) (cond-mat/9806301); A. A. Andrianov, F. Cannata, J. P. Dedonder, and M. V. Ioffe, Int. J. Mod. Phys. A 14, 2675 (1999) (quant-ph/9806019); F. Cannata, G. Junker, and J. Trost, Phys. Lett. A 246, 219 (1998) (quant-ph/9805085); X.-B. Wang, L. C. Kwek, and C. H. Oh, Phys. Lett. A 259, 7 (1999).
20. F. Haake, F. Izrailev, N. Lehmann, D. Saher, and H. J. Sommers, Z. Phys. B: Condens. Matter 88, 359 (1992); H. J. Sommers, A. Crisanti, H. Sompolinsky, and Y. Stein, Phys. Rev. Lett. 60, 1895 (1988); M. A. Stephanov, ibid. 76, 4472 (1996); M. A. Halasz, A. D Jackson, and J. J. M. Verbaarschot, Phys. Rev. D 56, 5140 (1997); M. A. Halasz, J. C. Osborn, and J. J. M. Verbaarschot, ibid. 56, 7059 (1997); M. A. Halasz, A. D. Jackson, R. E. Shrock, M. A. Stephanov, and J. J. M. Verbaarschot, ibid. 58, 096007 (1998) (hep-ph/9804290); T. Guhr and T. Wettig, Nucl. Phys. B 506, 589 (1997) (hep-th/9704055); H. Markum, R. Pullirsch, and T. Wettig, Phys. Rev. Lett. 83, 484 (1999) (hep-lat/9906020); R. A. Janik, M. A. Nowak, G. Papp, and I. Zahed, Phys. Rev. Lett. 77, 4876 (1996); E. Gudowska-Nowak, G. Papp, and J. Brickmann, preprint cond-mat/9701187; Y. V. Fyodorov, B. A. Khoruzhenko, and H.-J. Sommers, Phys. Rev. Lett. 79, 557 (1997); Phys. Lett. A 226, 46 (1997); Ann. Inst. H. Poincare, Sect. A 68, 449 (1998); H.-J. Sommers, Yan V. Fyodorov, and M. Titov, J. Phys. A 32, L77 (1999) (chao-dyn/9807015); B. A. Khoruzhenko, J. Phys. A 29, L165 (1996); N. Hatano and D. R. Nelson, Phys. Rev. Lett. 77, 570 (1997) (cond-mat/9603165); Phys. Rev. B 56, 8651 (1997) (cond-mat/9705290); Phys. Rev. B 58, 8384 (1998) (cond-mat/9805195); D. R. Nelson and N. M. Shnerb, cond-mat/9708071; Phys. Rev. Lett. 80, 5172 (1998) (cond-mat/9801111); R. A. Lehrer and D. R. Nelson, Phys. Rev. B 58, 12385 (1998) (cond-mat/9806016); K. A. Dahmen, D. R. Nelson, and N. M. Shnerb, cond-mat/9903276; K. B. Efetov, Phys. Rev. Lett. 79, 491 (1997); Phys. Rev. B 56, 9630 (1997); A. V. Kolesnikov and K. B. Efetov, Waves Random Media 9, 71 (1999); Phys. Rev. Lett. 84, 5600 (2000) (cond-mat/0001263); J. Feinberg and A. Zee, Phys. Rev. E 59, 6433 (1999) (cond-mat/9706218); Nucl. Phys. B 552, 599 (1999) (cond-mat/9710040); E. Brézin and A. Zee, Nucl. Phys. B 509, 599 (1998) (cond-mat/9708029); C. Mudry, P. Brouwer, B. Halperin, V. Gurarie, and A. Zee, Phys. Rev. B 58, 13539 (1998); P. W. Brouwer, ibid. 57, 10526 (1998) (cond-mat/9711113); P. W. Brouwer, C. Mudry, B. D. Simons, and A. Altland, Phys. Rev. Lett. 81, 862 (1998) (cond-mat/9807189); C. Mudry, B. D. Simons, and A. Altlanld, Phys. Rev. Lett. 80, 4257 (1998) (cond-mat/9712103); R. A. Janik, M. A. Nowak, G. Papp, and I. Zahed, Acta Phys. Pol. B 30, 45 (1999) (cond-mat/9705098); I. Y. Goldsheid and B. A. Khoruzhenko, Phys. Rev. Lett. 80, 2897 (1998) (cond-mat/9707230); I. V. Yurkevich and I. V. Lerner, Phys. Rev. Lett. 82, 5080 (1999); P. W. Brouwer, P. G. Silvestrov, and C. W. J. Beenakker, Phys. Rev. Lett. 56, 4333 (1997) (cond-mat/9705186); P. G. Silvestrov, Phys. Rev. B 58, 10111 (1998) (cond-mat/9802219); Phys. Rev. Lett. 82, 3140 (1999) (cond-mat/9804093); cond-mat/0008118; B. Derrida, J. L. Jacobsen, and R. Zeitak, J. Stat. Phys. 98, 31 (2000) (cond-mat/9906235); G. M. Cicuta, M. Contedini, and L. Molinari, cond-mat/9907014; L. Molinari, J. Phys. A 31, 8553 (1998); J. Miller and Z. J. Wang, Phys. Rev. Lett. 76, 1461 (1996); J. T. Chalker and Z. Jane Wang, ibid. 79, 1797 (1997); Phys. Rev. E 61, 196 (2000); V. G. Benza, cond-mat/0006029; G. C. Ferrario and V. G. Benza, J. Phys.: Condens. Matter 11, 7557 (1999) (cond-mat/9907011); A. V. Izyumov and B. D. Simons, Phys. Rev. Lett. 83, 4373 (1999) (cond-mat/9910163); Europhys. Lett. 45, 290 (1999) (cond-mat/9811260); A. V. Izyumov and K. V. Samokhin, J. Phys. A 32, 7843 (1999) (cond-mat/9909407); B. Mehlig and J. T. Chalker, J. Math. Phys. 41, 3233 (2000) (cond-mat/9906279); Phys. Rev. Lett. 81, 3367 (1998) (cond-mat/9809090); Ann. Phys. (Berlin) 7, 427 (1998); R. A. Janik, W. Noerenberg, M. A. Nowak, G. Papp, and I. Zahed, Phys. Rev. E 60, 2699 (1999) (cond-mat;9902314); S. Hikami and R. Pnini, J. Phys. A 31, L587 (1998) (cond-mat/9806254); A. Sedrakyan, Nucl. Phys. B 554, 554 (1999) (cond-mat/9806301); A. A. Andrianov, F. Cannata, J. P. Dedonder, and M. V. Ioffe, Int. J. Mod. Phys. A 14, 2675 (1999) (quant-ph/9806019); F. Cannata, G. Junker, and J. Trost, Phys. Lett. A 246, 219 (1998) (quant-ph/9805085); X.-B. Wang, L. C. Kwek, and C. H. Oh, Phys. Lett. A 259, 7 (1999).
21. F. Haake, F. Izrailev, N. Lehmann, D. Saher, and H. J. Sommers, Z. Phys. B: Condens. Matter 88, 359 (1992); H. J. Sommers, A. Crisanti, H. Sompolinsky, and Y. Stein, Phys. Rev. Lett. 60, 1895 (1988); M. A. Stephanov, ibid. 76, 4472 (1996); M. A. Halasz, A. D Jackson, and J. J. M. Verbaarschot, Phys. Rev. D 56, 5140 (1997); M. A. Halasz, J. C. Osborn, and J. J. M. Verbaarschot, ibid. 56, 7059 (1997); M. A. Halasz, A. D. Jackson, R. E. Shrock, M. A. Stephanov, and J. J. M. Verbaarschot, ibid. 58, 096007 (1998) (hep-ph/9804290); T. Guhr and T. Wettig, Nucl. Phys. B 506, 589 (1997) (hep-th/9704055); H. Markum, R. Pullirsch, and T. Wettig, Phys. Rev. Lett. 83, 484 (1999) (hep-lat/9906020); R. A. Janik, M. A. Nowak, G. Papp, and I. Zahed, Phys. Rev. Lett. 77, 4876 (1996); E. Gudowska-Nowak, G. Papp, and J. Brickmann, preprint cond-mat/9701187; Y. V. Fyodorov, B. A. Khoruzhenko, and H.-J. Sommers, Phys. Rev. Lett. 79, 557 (1997); Phys. Lett. A 226, 46 (1997); Ann. Inst. H. Poincare, Sect. A 68, 449 (1998); H.-J. Sommers, Yan V. Fyodorov, and M. Titov, J. Phys. A 32, L77 (1999) (chao-dyn/9807015); B. A. Khoruzhenko, J. Phys. A 29, L165 (1996); N. Hatano and D. R. Nelson, Phys. Rev. Lett. 77, 570 (1997) (cond-mat/9603165); Phys. Rev. B 56, 8651 (1997) (cond-mat/9705290); Phys. Rev. B 58, 8384 (1998) (cond-mat/9805195); D. R. Nelson and N. M. Shnerb, cond-mat/9708071; Phys. Rev. Lett. 80, 5172 (1998) (cond-mat/9801111); R. A. Lehrer and D. R. Nelson, Phys. Rev. B 58, 12385 (1998) (cond-mat/9806016); K. A. Dahmen, D. R. Nelson, and N. M. Shnerb, cond-mat/9903276; K. B. Efetov, Phys. Rev. Lett. 79, 491 (1997); Phys. Rev. B 56, 9630 (1997); A. V. Kolesnikov and K. B. Efetov, Waves Random Media 9, 71 (1999); Phys. Rev. Lett. 84, 5600 (2000) (cond-mat/0001263); J. Feinberg and A. Zee, Phys. Rev. E 59, 6433 (1999) (cond-mat/9706218); Nucl. Phys. B 552, 599 (1999) (cond-mat/9710040); E. Brézin and A. Zee, Nucl. Phys. B 509, 599 (1998) (cond-mat/9708029); C. Mudry, P. Brouwer, B. Halperin, V. Gurarie, and A. Zee, Phys. Rev. B 58, 13539 (1998); P. W. Brouwer, ibid. 57, 10526 (1998) (cond-mat/9711113); P. W. Brouwer, C. Mudry, B. D. Simons, and A. Altland, Phys. Rev. Lett. 81, 862 (1998) (cond-mat/9807189); C. Mudry, B. D. Simons, and A. Altlanld, Phys. Rev. Lett. 80, 4257 (1998) (cond-mat/9712103); R. A. Janik, M. A. Nowak, G. Papp, and I. Zahed, Acta Phys. Pol. B 30, 45 (1999) (cond-mat/9705098); I. Y. Goldsheid and B. A. Khoruzhenko, Phys. Rev. Lett. 80, 2897 (1998) (cond-mat/9707230); I. V. Yurkevich and I. V. Lerner, Phys. Rev. Lett. 82, 5080 (1999); P. W. Brouwer, P. G. Silvestrov, and C. W. J. Beenakker, Phys. Rev. Lett. 56, 4333 (1997) (cond-mat/9705186); P. G. Silvestrov, Phys. Rev. B 58, 10111 (1998) (cond-mat/9802219); Phys. Rev. Lett. 82, 3140 (1999) (cond-mat/9804093); cond-mat/0008118; B. Derrida, J. L. Jacobsen, and R. Zeitak, J. Stat. Phys. 98, 31 (2000) (cond-mat/9906235); G. M. Cicuta, M. Contedini, and L. Molinari, cond-mat/9907014; L. Molinari, J. Phys. A 31, 8553 (1998); J. Miller and Z. J. Wang, Phys. Rev. Lett. 76, 1461 (1996); J. T. Chalker and Z. Jane Wang, ibid. 79, 1797 (1997); Phys. Rev. E 61, 196 (2000); V. G. Benza, cond-mat/0006029; G. C. Ferrario and V. G. Benza, J. Phys.: Condens. Matter 11, 7557 (1999) (cond-mat/9907011); A. V. Izyumov and B. D. Simons, Phys. Rev. Lett. 83, 4373 (1999) (cond-mat/9910163); Europhys. Lett. 45, 290 (1999) (cond-mat/9811260); A. V. Izyumov and K. V. Samokhin, J. Phys. A 32, 7843 (1999) (cond-mat/9909407); B. Mehlig and J. T. Chalker, J. Math. Phys. 41, 3233 (2000) (cond-mat/9906279); Phys. Rev. Lett. 81, 3367 (1998) (cond-mat/9809090); Ann. Phys. (Berlin) 7, 427 (1998); R. A. Janik, W. Noerenberg, M. A. Nowak, G. Papp, and I. Zahed, Phys. Rev. E 60, 2699 (1999) (cond-mat;9902314); S. Hikami and R. Pnini, J. Phys. A 31, L587 (1998) (cond-mat/9806254); A. Sedrakyan, Nucl. Phys. B 554, 554 (1999) (cond-mat/9806301); A. A. Andrianov, F. Cannata, J. P. Dedonder, and M. V. Ioffe, Int. J. Mod. Phys. A 14, 2675 (1999) (quant-ph/9806019); F. Cannata, G. Junker, and J. Trost, Phys. Lett. A 246, 219 (1998) (quant-ph/9805085); X.-B. Wang, L. C. Kwek, and C. H. Oh, Phys. Lett. A 259, 7 (1999).
22. F. Haake, F. Izrailev, N. Lehmann, D. Saher, and H. J. Sommers, Z. Phys. B: Condens. Matter 88, 359 (1992); H. J. Sommers, A. Crisanti, H. Sompolinsky, and Y. Stein, Phys. Rev. Lett. 60, 1895 (1988); M. A. Stephanov, ibid. 76, 4472 (1996); M. A. Halasz, A. D Jackson, and J. J. M. Verbaarschot, Phys. Rev. D 56, 5140 (1997); M. A. Halasz, J. C. Osborn, and J. J. M. Verbaarschot, ibid. 56, 7059 (1997); M. A. Halasz, A. D. Jackson, R. E. Shrock, M. A. Stephanov, and J. J. M. Verbaarschot, ibid. 58, 096007 (1998) (hep-ph/9804290); T. Guhr and T. Wettig, Nucl. Phys. B 506, 589 (1997) (hep-th/9704055); H. Markum, R. Pullirsch, and T. Wettig, Phys. Rev. Lett. 83, 484 (1999) (hep-lat/9906020); R. A. Janik, M. A. Nowak, G. Papp, and I. Zahed, Phys. Rev. Lett. 77, 4876 (1996); E. Gudowska-Nowak, G. Papp, and J. Brickmann, preprint cond-mat/9701187; Y. V. Fyodorov, B. A. Khoruzhenko, and H.-J. Sommers, Phys. Rev. Lett. 79, 557 (1997); Phys. Lett. A 226, 46 (1997); Ann. Inst. H. Poincare, Sect. A 68, 449 (1998); H.-J. Sommers, Yan V. Fyodorov, and M. Titov, J. Phys. A 32, L77 (1999) (chao-dyn/9807015); B. A. Khoruzhenko, J. Phys. A 29, L165 (1996); N. Hatano and D. R. Nelson, Phys. Rev. Lett. 77, 570 (1997) (cond-mat/9603165); Phys. Rev. B 56, 8651 (1997) (cond-mat/9705290); Phys. Rev. B 58, 8384 (1998) (cond-mat/9805195); D. R. Nelson and N. M. Shnerb, cond-mat/9708071; Phys. Rev. Lett. 80, 5172 (1998) (cond-mat/9801111); R. A. Lehrer and D. R. Nelson, Phys. Rev. B 58, 12385 (1998) (cond-mat/9806016); K. A. Dahmen, D. R. Nelson, and N. M. Shnerb, cond-mat/9903276; K. B. Efetov, Phys. Rev. Lett. 79, 491 (1997); Phys. Rev. B 56, 9630 (1997); A. V. Kolesnikov and K. B. Efetov, Waves Random Media 9, 71 (1999); Phys. Rev. Lett. 84, 5600 (2000) (cond-mat/0001263); J. Feinberg and A. Zee, Phys. Rev. E 59, 6433 (1999) (cond-mat/9706218); Nucl. Phys. B 552, 599 (1999) (cond-mat/9710040); E. Brézin and A. Zee, Nucl. Phys. B 509, 599 (1998) (cond-mat/9708029); C. Mudry, P. Brouwer, B. Halperin, V. Gurarie, and A. Zee, Phys. Rev. B 58, 13539 (1998); P. W. Brouwer, ibid. 57, 10526 (1998) (cond-mat/9711113); P. W. Brouwer, C. Mudry, B. D. Simons, and A. Altland, Phys. Rev. Lett. 81, 862 (1998) (cond-mat/9807189); C. Mudry, B. D. Simons, and A. Altlanld, Phys. Rev. Lett. 80, 4257 (1998) (cond-mat/9712103); R. A. Janik, M. A. Nowak, G. Papp, and I. Zahed, Acta Phys. Pol. B 30, 45 (1999) (cond-mat/9705098); I. Y. Goldsheid and B. A. Khoruzhenko, Phys. Rev. Lett. 80, 2897 (1998) (cond-mat/9707230); I. V. Yurkevich and I. V. Lerner, Phys. Rev. Lett. 82, 5080 (1999); P. W. Brouwer, P. G. Silvestrov, and C. W. J. Beenakker, Phys. Rev. Lett. 56, 4333 (1997) (cond-mat/9705186); P. G. Silvestrov, Phys. Rev. B 58, 10111 (1998) (cond-mat/9802219); Phys. Rev. Lett. 82, 3140 (1999) (cond-mat/9804093); cond-mat/0008118; B. Derrida, J. L. Jacobsen, and R. Zeitak, J. Stat. Phys. 98, 31 (2000) (cond-mat/9906235); G. M. Cicuta, M. Contedini, and L. Molinari, cond-mat/9907014; L. Molinari, J. Phys. A 31, 8553 (1998); J. Miller and Z. J. Wang, Phys. Rev. Lett. 76, 1461 (1996); J. T. Chalker and Z. Jane Wang, ibid. 79, 1797 (1997); Phys. Rev. E 61, 196 (2000); V. G. Benza, cond-mat/0006029; G. C. Ferrario and V. G. Benza, J. Phys.: Condens. Matter 11, 7557 (1999) (cond-mat/9907011); A. V. Izyumov and B. D. Simons, Phys. Rev. Lett. 83, 4373 (1999) (cond-mat/9910163); Europhys. Lett. 45, 290 (1999) (cond-mat/9811260); A. V. Izyumov and K. V. Samokhin, J. Phys. A 32, 7843 (1999) (cond-mat/9909407); B. Mehlig and J. T. Chalker, J. Math. Phys. 41, 3233 (2000) (cond-mat/9906279); Phys. Rev. Lett. 81, 3367 (1998) (cond-mat/9809090); Ann. Phys. (Berlin) 7, 427 (1998); R. A. Janik, W. Noerenberg, M. A. Nowak, G. Papp, and I. Zahed, Phys. Rev. E 60, 2699 (1999) (cond-mat;9902314); S. Hikami and R. Pnini, J. Phys. A 31, L587 (1998) (cond-mat/9806254); A. Sedrakyan, Nucl. Phys. B 554, 554 (1999) (cond-mat/9806301); A. A. Andrianov, F. Cannata, J. P. Dedonder, and M. V. Ioffe, Int. J. Mod. Phys. A 14, 2675 (1999) (quant-ph/9806019); F. Cannata, G. Junker, and J. Trost, Phys. Lett. A 246, 219 (1998) (quant-ph/9805085); X.-B. Wang, L. C. Kwek, and C. H. Oh, Phys. Lett. A 259, 7 (1999).
23. F. Haake, F. Izrailev, N. Lehmann, D. Saher, and H. J. Sommers, Z. Phys. B: Condens. Matter 88, 359 (1992); H. J. Sommers, A. Crisanti, H. Sompolinsky, and Y. Stein, Phys. Rev. Lett. 60, 1895 (1988); M. A. Stephanov, ibid. 76, 4472 (1996); M. A. Halasz, A. D Jackson, and J. J. M. Verbaarschot, Phys. Rev. D 56, 5140 (1997); M. A. Halasz, J. C. Osborn, and J. J. M. Verbaarschot, ibid. 56, 7059 (1997); M. A. Halasz, A. D. Jackson, R. E. Shrock, M. A. Stephanov, and J. J. M. Verbaarschot, ibid. 58, 096007 (1998) (hep-ph/9804290); T. Guhr and T. Wettig, Nucl. Phys. B 506, 589 (1997) (hep-th/9704055); H. Markum, R. Pullirsch, and T. Wettig, Phys. Rev. Lett. 83, 484 (1999) (hep-lat/9906020); R. A. Janik, M. A. Nowak, G. Papp, and I. Zahed, Phys. Rev. Lett. 77, 4876 (1996); E. Gudowska-Nowak, G. Papp, and J. Brickmann, preprint cond-mat/9701187; Y. V. Fyodorov, B. A. Khoruzhenko, and H.-J. Sommers, Phys. Rev. Lett. 79, 557 (1997); Phys. Lett. A 226, 46 (1997); Ann. Inst. H. Poincare, Sect. A 68, 449 (1998); H.-J. Sommers, Yan V. Fyodorov, and M. Titov, J. Phys. A 32, L77 (1999) (chao-dyn/9807015); B. A. Khoruzhenko, J. Phys. A 29, L165 (1996); N. Hatano and D. R. Nelson, Phys. Rev. Lett. 77, 570 (1997) (cond-mat/9603165); Phys. Rev. B 56, 8651 (1997) (cond-mat/9705290); Phys. Rev. B 58, 8384 (1998) (cond-mat/9805195); D. R. Nelson and N. M. Shnerb, cond-mat/9708071; Phys. Rev. Lett. 80, 5172 (1998) (cond-mat/9801111); R. A. Lehrer and D. R. Nelson, Phys. Rev. B 58, 12385 (1998) (cond-mat/9806016); K. A. Dahmen, D. R. Nelson, and N. M. Shnerb, cond-mat/9903276; K. B. Efetov, Phys. Rev. Lett. 79, 491 (1997); Phys. Rev. B 56, 9630 (1997); A. V. Kolesnikov and K. B. Efetov, Waves Random Media 9, 71 (1999); Phys. Rev. Lett. 84, 5600 (2000) (cond-mat/0001263); J. Feinberg and A. Zee, Phys. Rev. E 59, 6433 (1999) (cond-mat/9706218); Nucl. Phys. B 552, 599 (1999) (cond-mat/9710040); E. Brézin and A. Zee, Nucl. Phys. B 509, 599 (1998) (cond-mat/9708029); C. Mudry, P. Brouwer, B. Halperin, V. Gurarie, and A. Zee, Phys. Rev. B 58, 13539 (1998); P. W. Brouwer, ibid. 57, 10526 (1998) (cond-mat/9711113); P. W. Brouwer, C. Mudry, B. D. Simons, and A. Altland, Phys. Rev. Lett. 81, 862 (1998) (cond-mat/9807189); C. Mudry, B. D. Simons, and A. Altlanld, Phys. Rev. Lett. 80, 4257 (1998) (cond-mat/9712103); R. A. Janik, M. A. Nowak, G. Papp, and I. Zahed, Acta Phys. Pol. B 30, 45 (1999) (cond-mat/9705098); I. Y. Goldsheid and B. A. Khoruzhenko, Phys. Rev. Lett. 80, 2897 (1998) (cond-mat/9707230); I. V. Yurkevich and I. V. Lerner, Phys. Rev. Lett. 82, 5080 (1999); P. W. Brouwer, P. G. Silvestrov, and C. W. J. Beenakker, Phys. Rev. Lett. 56, 4333 (1997) (cond-mat/9705186); P. G. Silvestrov, Phys. Rev. B 58, 10111 (1998) (cond-mat/9802219); Phys. Rev. Lett. 82, 3140 (1999) (cond-mat/9804093); cond-mat/0008118; B. Derrida, J. L. Jacobsen, and R. Zeitak, J. Stat. Phys. 98, 31 (2000) (cond-mat/9906235); G. M. Cicuta, M. Contedini, and L. Molinari, cond-mat/9907014; L. Molinari, J. Phys. A 31, 8553 (1998); J. Miller and Z. J. Wang, Phys. Rev. Lett. 76, 1461 (1996); J. T. Chalker and Z. Jane Wang, ibid. 79, 1797 (1997); Phys. Rev. E 61, 196 (2000); V. G. Benza, cond-mat/0006029; G. C. Ferrario and V. G. Benza, J. Phys.: Condens. Matter 11, 7557 (1999) (cond-mat/9907011); A. V. Izyumov and B. D. Simons, Phys. Rev. Lett. 83, 4373 (1999) (cond-mat/9910163); Europhys. Lett. 45, 290 (1999) (cond-mat/9811260); A. V. Izyumov and K. V. Samokhin, J. Phys. A 32, 7843 (1999) (cond-mat/9909407); B. Mehlig and J. T. Chalker, J. Math. Phys. 41, 3233 (2000) (cond-mat/9906279); Phys. Rev. Lett. 81, 3367 (1998) (cond-mat/9809090); Ann. Phys. (Berlin) 7, 427 (1998); R. A. Janik, W. Noerenberg, M. A. Nowak, G. Papp, and I. Zahed, Phys. Rev. E 60, 2699 (1999) (cond-mat;9902314); S. Hikami and R. Pnini, J. Phys. A 31, L587 (1998) (cond-mat/9806254); A. Sedrakyan, Nucl. Phys. B 554, 554 (1999) (cond-mat/9806301); A. A. Andrianov, F. Cannata, J. P. Dedonder, and M. V. Ioffe, Int. J. Mod. Phys. A 14, 2675 (1999) (quant-ph/9806019); F. Cannata, G. Junker, and J. Trost, Phys. Lett. A 246, 219 (1998) (quant-ph/9805085); X.-B. Wang, L. C. Kwek, and C. H. Oh, Phys. Lett. A 259, 7 (1999).
24. F. Haake, F. Izrailev, N. Lehmann, D. Saher, and H. J. Sommers, Z. Phys. B: Condens. Matter 88, 359 (1992); H. J. Sommers, A. Crisanti, H. Sompolinsky, and Y. Stein, Phys. Rev. Lett. 60, 1895 (1988); M. A. Stephanov, ibid. 76, 4472 (1996); M. A. Halasz, A. D Jackson, and J. J. M. Verbaarschot, Phys. Rev. D 56, 5140 (1997); M. A. Halasz, J. C. Osborn, and J. J. M. Verbaarschot, ibid. 56, 7059 (1997); M. A. Halasz, A. D. Jackson, R. E. Shrock, M. A. Stephanov, and J. J. M. Verbaarschot, ibid. 58, 096007 (1998) (hep-ph/9804290); T. Guhr and T. Wettig, Nucl. Phys. B 506, 589 (1997) (hep-th/9704055); H. Markum, R. Pullirsch, and T. Wettig, Phys. Rev. Lett. 83, 484 (1999) (hep-lat/9906020); R. A. Janik, M. A. Nowak, G. Papp, and I. Zahed, Phys. Rev. Lett. 77, 4876 (1996); E. Gudowska-Nowak, G. Papp, and J. Brickmann, preprint cond-mat/9701187; Y. V. Fyodorov, B. A. Khoruzhenko, and H.-J. Sommers, Phys. Rev. Lett. 79, 557 (1997); Phys. Lett. A 226, 46 (1997); Ann. Inst. H. Poincare, Sect. A 68, 449 (1998); H.-J. Sommers, Yan V. Fyodorov, and M. Titov, J. Phys. A 32, L77 (1999) (chao-dyn/9807015); B. A. Khoruzhenko, J. Phys. A 29, L165 (1996); N. Hatano and D. R. Nelson, Phys. Rev. Lett. 77, 570 (1997) (cond-mat/9603165); Phys. Rev. B 56, 8651 (1997) (cond-mat/9705290); Phys. Rev. B 58, 8384 (1998) (cond-mat/9805195); D. R. Nelson and N. M. Shnerb, cond-mat/9708071; Phys. Rev. Lett. 80, 5172 (1998) (cond-mat/9801111); R. A. Lehrer and D. R. Nelson, Phys. Rev. B 58, 12385 (1998) (cond-mat/9806016); K. A. Dahmen, D. R. Nelson, and N. M. Shnerb, cond-mat/9903276; K. B. Efetov, Phys. Rev. Lett. 79, 491 (1997); Phys. Rev. B 56, 9630 (1997); A. V. Kolesnikov and K. B. Efetov, Waves Random Media 9, 71 (1999); Phys. Rev. Lett. 84, 5600 (2000) (cond-mat/0001263); J. Feinberg and A. Zee, Phys. Rev. E 59, 6433 (1999) (cond-mat/9706218); Nucl. Phys. B 552, 599 (1999) (cond-mat/9710040); E. Brézin and A. Zee, Nucl. Phys. B 509, 599 (1998) (cond-mat/9708029); C. Mudry, P. Brouwer, B. Halperin, V. Gurarie, and A. Zee, Phys. Rev. B 58, 13539 (1998); P. W. Brouwer, ibid. 57, 10526 (1998) (cond-mat/9711113); P. W. Brouwer, C. Mudry, B. D. Simons, and A. Altland, Phys. Rev. Lett. 81, 862 (1998) (cond-mat/9807189); C. Mudry, B. D. Simons, and A. Altlanld, Phys. Rev. Lett. 80, 4257 (1998) (cond-mat/9712103); R. A. Janik, M. A. Nowak, G. Papp, and I. Zahed, Acta Phys. Pol. B 30, 45 (1999) (cond-mat/9705098); I. Y. Goldsheid and B. A. Khoruzhenko, Phys. Rev. Lett. 80, 2897 (1998) (cond-mat/9707230); I. V. Yurkevich and I. V. Lerner, Phys. Rev. Lett. 82, 5080 (1999); P. W. Brouwer, P. G. Silvestrov, and C. W. J. Beenakker, Phys. Rev. Lett. 56, 4333 (1997) (cond-mat/9705186); P. G. Silvestrov, Phys. Rev. B 58, 10111 (1998) (cond-mat/9802219); Phys. Rev. Lett. 82, 3140 (1999) (cond-mat/9804093); cond-mat/0008118; B. Derrida, J. L. Jacobsen, and R. Zeitak, J. Stat. Phys. 98, 31 (2000) (cond-mat/9906235); G. M. Cicuta, M. Contedini, and L. Molinari, cond-mat/9907014; L. Molinari, J. Phys. A 31, 8553 (1998); J. Miller and Z. J. Wang, Phys. Rev. Lett. 76, 1461 (1996); J. T. Chalker and Z. Jane Wang, ibid. 79, 1797 (1997); Phys. Rev. E 61, 196 (2000); V. G. Benza, cond-mat/0006029; G. C. Ferrario and V. G. Benza, J. Phys.: Condens. Matter 11, 7557 (1999) (cond-mat/9907011); A. V. Izyumov and B. D. Simons, Phys. Rev. Lett. 83, 4373 (1999) (cond-mat/9910163); Europhys. Lett. 45, 290 (1999) (cond-mat/9811260); A. V. Izyumov and K. V. Samokhin, J. Phys. A 32, 7843 (1999) (cond-mat/9909407); B. Mehlig and J. T. Chalker, J. Math. Phys. 41, 3233 (2000) (cond-mat/9906279); Phys. Rev. Lett. 81, 3367 (1998) (cond-mat/9809090); Ann. Phys. (Berlin) 7, 427 (1998); R. A. Janik, W. Noerenberg, M. A. Nowak, G. Papp, and I. Zahed, Phys. Rev. E 60, 2699 (1999) (cond-mat;9902314); S. Hikami and R. Pnini, J. Phys. A 31, L587 (1998) (cond-mat/9806254); A. Sedrakyan, Nucl. Phys. B 554, 554 (1999) (cond-mat/9806301); A. A. Andrianov, F. Cannata, J. P. Dedonder, and M. V. Ioffe, Int. J. Mod. Phys. A 14, 2675 (1999) (quant-ph/9806019); F. Cannata, G. Junker, and J. Trost, Phys. Lett. A 246, 219 (1998) (quant-ph/9805085); X.-B. Wang, L. C. Kwek, and C. H. Oh, Phys. Lett. A 259, 7 (1999).
25. F. Haake, F. Izrailev, N. Lehmann, D. Saher, and H. J. Sommers, Z. Phys. B: Condens. Matter 88, 359 (1992); H. J. Sommers, A. Crisanti, H. Sompolinsky, and Y. Stein, Phys. Rev. Lett. 60, 1895 (1988); M. A. Stephanov, ibid. 76, 4472 (1996); M. A. Halasz, A. D Jackson, and J. J. M. Verbaarschot, Phys. Rev. D 56, 5140 (1997); M. A. Halasz, J. C. Osborn, and J. J. M. Verbaarschot, ibid. 56, 7059 (1997); M. A. Halasz, A. D. Jackson, R. E. Shrock, M. A. Stephanov, and J. J. M. Verbaarschot, ibid. 58, 096007 (1998) (hep-ph/9804290); T. Guhr and T. Wettig, Nucl. Phys. B 506, 589 (1997) (hep-th/9704055); H. Markum, R. Pullirsch, and T. Wettig, Phys. Rev. Lett. 83, 484 (1999) (hep-lat/9906020); R. A. Janik, M. A. Nowak, G. Papp, and I. Zahed, Phys. Rev. Lett. 77, 4876 (1996); E. Gudowska-Nowak, G. Papp, and J. Brickmann, preprint cond-mat/9701187; Y. V. Fyodorov, B. A. Khoruzhenko, and H.-J. Sommers, Phys. Rev. Lett. 79, 557 (1997); Phys. Lett. A 226, 46 (1997); Ann. Inst. H. Poincare, Sect. A 68, 449 (1998); H.-J. Sommers, Yan V. Fyodorov, and M. Titov, J. Phys. A 32, L77 (1999) (chao-dyn/9807015); B. A. Khoruzhenko, J. Phys. A 29, L165 (1996); N. Hatano and D. R. Nelson, Phys. Rev. Lett. 77, 570 (1997) (cond-mat/9603165); Phys. Rev. B 56, 8651 (1997) (cond-mat/9705290); Phys. Rev. B 58, 8384 (1998) (cond-mat/9805195); D. R. Nelson and N. M. Shnerb, cond-mat/9708071; Phys. Rev. Lett. 80, 5172 (1998) (cond-mat/9801111); R. A. Lehrer and D. R. Nelson, Phys. Rev. B 58, 12385 (1998) (cond-mat/9806016); K. A. Dahmen, D. R. Nelson, and N. M. Shnerb, cond-mat/9903276; K. B. Efetov, Phys. Rev. Lett. 79, 491 (1997); Phys. Rev. B 56, 9630 (1997); A. V. Kolesnikov and K. B. Efetov, Waves Random Media 9, 71 (1999); Phys. Rev. Lett. 84, 5600 (2000) (cond-mat/0001263); J. Feinberg and A. Zee, Phys. Rev. E 59, 6433 (1999) (cond-mat/9706218); Nucl. Phys. B 552, 599 (1999) (cond-mat/9710040); E. Brézin and A. Zee, Nucl. Phys. B 509, 599 (1998) (cond-mat/9708029); C. Mudry, P. Brouwer, B. Halperin, V. Gurarie, and A. Zee, Phys. Rev. B 58, 13539 (1998); P. W. Brouwer, ibid. 57, 10526 (1998) (cond-mat/9711113); P. W. Brouwer, C. Mudry, B. D. Simons, and A. Altland, Phys. Rev. Lett. 81, 862 (1998) (cond-mat/9807189); C. Mudry, B. D. Simons, and A. Altlanld, Phys. Rev. Lett. 80, 4257 (1998) (cond-mat/9712103); R. A. Janik, M. A. Nowak, G. Papp, and I. Zahed, Acta Phys. Pol. B 30, 45 (1999) (cond-mat/9705098); I. Y. Goldsheid and B. A. Khoruzhenko, Phys. Rev. Lett. 80, 2897 (1998) (cond-mat/9707230); I. V. Yurkevich and I. V. Lerner, Phys. Rev. Lett. 82, 5080 (1999); P. W. Brouwer, P. G. Silvestrov, and C. W. J. Beenakker, Phys. Rev. Lett. 56, 4333 (1997) (cond-mat/9705186); P. G. Silvestrov, Phys. Rev. B 58, 10111 (1998) (cond-mat/9802219); Phys. Rev. Lett. 82, 3140 (1999) (cond-mat/9804093); cond-mat/0008118; B. Derrida, J. L. Jacobsen, and R. Zeitak, J. Stat. Phys. 98, 31 (2000) (cond-mat/9906235); G. M. Cicuta, M. Contedini, and L. Molinari, cond-mat/9907014; L. Molinari, J. Phys. A 31, 8553 (1998); J. Miller and Z. J. Wang, Phys. Rev. Lett. 76, 1461 (1996); J. T. Chalker and Z. Jane Wang, ibid. 79, 1797 (1997); Phys. Rev. E 61, 196 (2000); V. G. Benza, cond-mat/0006029; G. C. Ferrario and V. G. Benza, J. Phys.: Condens. Matter 11, 7557 (1999) (cond-mat/9907011); A. V. Izyumov and B. D. Simons, Phys. Rev. Lett. 83, 4373 (1999) (cond-mat/9910163); Europhys. Lett. 45, 290 (1999) (cond-mat/9811260); A. V. Izyumov and K. V. Samokhin, J. Phys. A 32, 7843 (1999) (cond-mat/9909407); B. Mehlig and J. T. Chalker, J. Math. Phys. 41, 3233 (2000) (cond-mat/9906279); Phys. Rev. Lett. 81, 3367 (1998) (cond-mat/9809090); Ann. Phys. (Berlin) 7, 427 (1998); R. A. Janik, W. Noerenberg, M. A. Nowak, G. Papp, and I. Zahed, Phys. Rev. E 60, 2699 (1999) (cond-mat;9902314); S. Hikami and R. Pnini, J. Phys. A 31, L587 (1998) (cond-mat/9806254); A. Sedrakyan, Nucl. Phys. B 554, 554 (1999) (cond-mat/9806301); A. A. Andrianov, F. Cannata, J. P. Dedonder, and M. V. Ioffe, Int. J. Mod. Phys. A 14, 2675 (1999) (quant-ph/9806019); F. Cannata, G. Junker, and J. Trost, Phys. Lett. A 246, 219 (1998) (quant-ph/9805085); X.-B. Wang, L. C. Kwek, and C. H. Oh, Phys. Lett. A 259, 7 (1999).
26. F. Haake, F. Izrailev, N. Lehmann, D. Saher, and H. J. Sommers, Z. Phys. B: Condens. Matter 88, 359 (1992); H. J. Sommers, A. Crisanti, H. Sompolinsky, and Y. Stein, Phys. Rev. Lett. 60, 1895 (1988); M. A. Stephanov, ibid. 76, 4472 (1996); M. A. Halasz, A. D Jackson, and J. J. M. Verbaarschot, Phys. Rev. D 56, 5140 (1997); M. A. Halasz, J. C. Osborn, and J. J. M. Verbaarschot, ibid. 56, 7059 (1997); M. A. Halasz, A. D. Jackson, R. E. Shrock, M. A. Stephanov, and J. J. M. Verbaarschot, ibid. 58, 096007 (1998) (hep-ph/9804290); T. Guhr and T. Wettig, Nucl. Phys. B 506, 589 (1997) (hep-th/9704055); H. Markum, R. Pullirsch, and T. Wettig, Phys. Rev. Lett. 83, 484 (1999) (hep-lat/9906020); R. A. Janik, M. A. Nowak, G. Papp, and I. Zahed, Phys. Rev. Lett. 77, 4876 (1996); E. Gudowska-Nowak, G. Papp, and J. Brickmann, preprint cond-mat/9701187; Y. V. Fyodorov, B. A. Khoruzhenko, and H.-J. Sommers, Phys. Rev. Lett. 79, 557 (1997); Phys. Lett. A 226, 46 (1997); Ann. Inst. H. Poincare, Sect. A 68, 449 (1998); H.-J. Sommers, Yan V. Fyodorov, and M. Titov, J. Phys. A 32, L77 (1999) (chao-dyn/9807015); B. A. Khoruzhenko, J. Phys. A 29, L165 (1996); N. Hatano and D. R. Nelson, Phys. Rev. Lett. 77, 570 (1997) (cond-mat/9603165); Phys. Rev. B 56, 8651 (1997) (cond-mat/9705290); Phys. Rev. B 58, 8384 (1998) (cond-mat/9805195); D. R. Nelson and N. M. Shnerb, cond-mat/9708071; Phys. Rev. Lett. 80, 5172 (1998) (cond-mat/9801111); R. A. Lehrer and D. R. Nelson, Phys. Rev. B 58, 12385 (1998) (cond-mat/9806016); K. A. Dahmen, D. R. Nelson, and N. M. Shnerb, cond-mat/9903276; K. B. Efetov, Phys. Rev. Lett. 79, 491 (1997); Phys. Rev. B 56, 9630 (1997); A. V. Kolesnikov and K. B. Efetov, Waves Random Media 9, 71 (1999); Phys. Rev. Lett. 84, 5600 (2000) (cond-mat/0001263); J. Feinberg and A. Zee, Phys. Rev. E 59, 6433 (1999) (cond-mat/9706218); Nucl. Phys. B 552, 599 (1999) (cond-mat/9710040); E. Brézin and A. Zee, Nucl. Phys. B 509, 599 (1998) (cond-mat/9708029); C. Mudry, P. Brouwer, B. Halperin, V. Gurarie, and A. Zee, Phys. Rev. B 58, 13539 (1998); P. W. Brouwer, ibid. 57, 10526 (1998) (cond-mat/9711113); P. W. Brouwer, C. Mudry, B. D. Simons, and A. Altland, Phys. Rev. Lett. 81, 862 (1998) (cond-mat/9807189); C. Mudry, B. D. Simons, and A. Altlanld, Phys. Rev. Lett. 80, 4257 (1998) (cond-mat/9712103); R. A. Janik, M. A. Nowak, G. Papp, and I. Zahed, Acta Phys. Pol. B 30, 45 (1999) (cond-mat/9705098); I. Y. Goldsheid and B. A. Khoruzhenko, Phys. Rev. Lett. 80, 2897 (1998) (cond-mat/9707230); I. V. Yurkevich and I. V. Lerner, Phys. Rev. Lett. 82, 5080 (1999); P. W. Brouwer, P. G. Silvestrov, and C. W. J. Beenakker, Phys. Rev. Lett. 56, 4333 (1997) (cond-mat/9705186); P. G. Silvestrov, Phys. Rev. B 58, 10111 (1998) (cond-mat/9802219); Phys. Rev. Lett. 82, 3140 (1999) (cond-mat/9804093); cond-mat/0008118; B. Derrida, J. L. Jacobsen, and R. Zeitak, J. Stat. Phys. 98, 31 (2000) (cond-mat/9906235); G. M. Cicuta, M. Contedini, and L. Molinari, cond-mat/9907014; L. Molinari, J. Phys. A 31, 8553 (1998); J. Miller and Z. J. Wang, Phys. Rev. Lett. 76, 1461 (1996); J. T. Chalker and Z. Jane Wang, ibid. 79, 1797 (1997); Phys. Rev. E 61, 196 (2000); V. G. Benza, cond-mat/0006029; G. C. Ferrario and V. G. Benza, J. Phys.: Condens. Matter 11, 7557 (1999) (cond-mat/9907011); A. V. Izyumov and B. D. Simons, Phys. Rev. Lett. 83, 4373 (1999) (cond-mat/9910163); Europhys. Lett. 45, 290 (1999) (cond-mat/9811260); A. V. Izyumov and K. V. Samokhin, J. Phys. A 32, 7843 (1999) (cond-mat/9909407); B. Mehlig and J. T. Chalker, J. Math. Phys. 41, 3233 (2000) (cond-mat/9906279); Phys. Rev. Lett. 81, 3367 (1998) (cond-mat/9809090); Ann. Phys. (Berlin) 7, 427 (1998); R. A. Janik, W. Noerenberg, M. A. Nowak, G. Papp, and I. Zahed, Phys. Rev. E 60, 2699 (1999) (cond-mat;9902314); S. Hikami and R. Pnini, J. Phys. A 31, L587 (1998) (cond-mat/9806254); A. Sedrakyan, Nucl. Phys. B 554, 554 (1999) (cond-mat/9806301); A. A. Andrianov, F. Cannata, J. P. Dedonder, and M. V. Ioffe, Int. J. Mod. Phys. A 14, 2675 (1999) (quant-ph/9806019); F. Cannata, G. Junker, and J. Trost, Phys. Lett. A 246, 219 (1998) (quant-ph/9805085); X.-B. Wang, L. C. Kwek, and C. H. Oh, Phys. Lett. A 259, 7 (1999).
27. F. Haake, F. Izrailev, N. Lehmann, D. Saher, and H. J. Sommers, Z. Phys. B: Condens. Matter 88, 359 (1992); H. J. Sommers, A. Crisanti, H. Sompolinsky, and Y. Stein, Phys. Rev. Lett. 60, 1895 (1988); M. A. Stephanov, ibid. 76, 4472 (1996); M. A. Halasz, A. D Jackson, and J. J. M. Verbaarschot, Phys. Rev. D 56, 5140 (1997); M. A. Halasz, J. C. Osborn, and J. J. M. Verbaarschot, ibid. 56, 7059 (1997); M. A. Halasz, A. D. Jackson, R. E. Shrock, M. A. Stephanov, and J. J. M. Verbaarschot, ibid. 58, 096007 (1998) (hep-ph/9804290); T. Guhr and T. Wettig, Nucl. Phys. B 506, 589 (1997) (hep-th/9704055); H. Markum, R. Pullirsch, and T. Wettig, Phys. Rev. Lett. 83, 484 (1999) (hep-lat/9906020); R. A. Janik, M. A. Nowak, G. Papp, and I. Zahed, Phys. Rev. Lett. 77, 4876 (1996); E. Gudowska-Nowak, G. Papp, and J. Brickmann, preprint cond-mat/9701187; Y. V. Fyodorov, B. A. Khoruzhenko, and H.-J. Sommers, Phys. Rev. Lett. 79, 557 (1997); Phys. Lett. A 226, 46 (1997); Ann. Inst. H. Poincare, Sect. A 68, 449 (1998); H.-J. Sommers, Yan V. Fyodorov, and M. Titov, J. Phys. A 32, L77 (1999) (chao-dyn/9807015); B. A. Khoruzhenko, J. Phys. A 29, L165 (1996); N. Hatano and D. R. Nelson, Phys. Rev. Lett. 77, 570 (1997) (cond-mat/9603165); Phys. Rev. B 56, 8651 (1997) (cond-mat/9705290); Phys. Rev. B 58, 8384 (1998) (cond-mat/9805195); D. R. Nelson and N. M. Shnerb, cond-mat/9708071; Phys. Rev. Lett. 80, 5172 (1998) (cond-mat/9801111); R. A. Lehrer and D. R. Nelson, Phys. Rev. B 58, 12385 (1998) (cond-mat/9806016); K. A. Dahmen, D. R. Nelson, and N. M. Shnerb, cond-mat/9903276; K. B. Efetov, Phys. Rev. Lett. 79, 491 (1997); Phys. Rev. B 56, 9630 (1997); A. V. Kolesnikov and K. B. Efetov, Waves Random Media 9, 71 (1999); Phys. Rev. Lett. 84, 5600 (2000) (cond-mat/0001263); J. Feinberg and A. Zee, Phys. Rev. E 59, 6433 (1999) (cond-mat/9706218); Nucl. Phys. B 552, 599 (1999) (cond-mat/9710040); E. Brézin and A. Zee, Nucl. Phys. B 509, 599 (1998) (cond-mat/9708029); C. Mudry, P. Brouwer, B. Halperin, V. Gurarie, and A. Zee, Phys. Rev. B 58, 13539 (1998); P. W. Brouwer, ibid. 57, 10526 (1998) (cond-mat/9711113); P. W. Brouwer, C. Mudry, B. D. Simons, and A. Altland, Phys. Rev. Lett. 81, 862 (1998) (cond-mat/9807189); C. Mudry, B. D. Simons, and A. Altlanld, Phys. Rev. Lett. 80, 4257 (1998) (cond-mat/9712103); R. A. Janik, M. A. Nowak, G. Papp, and I. Zahed, Acta Phys. Pol. B 30, 45 (1999) (cond-mat/9705098); I. Y. Goldsheid and B. A. Khoruzhenko, Phys. Rev. Lett. 80, 2897 (1998) (cond-mat/9707230); I. V. Yurkevich and I. V. Lerner, Phys. Rev. Lett. 82, 5080 (1999); P. W. Brouwer, P. G. Silvestrov, and C. W. J. Beenakker, Phys. Rev. Lett. 56, 4333 (1997) (cond-mat/9705186); P. G. Silvestrov, Phys. Rev. B 58, 10111 (1998) (cond-mat/9802219); Phys. Rev. Lett. 82, 3140 (1999) (cond-mat/9804093); cond-mat/0008118; B. Derrida, J. L. Jacobsen, and R. Zeitak, J. Stat. Phys. 98, 31 (2000) (cond-mat/9906235); G. M. Cicuta, M. Contedini, and L. Molinari, cond-mat/9907014; L. Molinari, J. Phys. A 31, 8553 (1998); J. Miller and Z. J. Wang, Phys. Rev. Lett. 76, 1461 (1996); J. T. Chalker and Z. Jane Wang, ibid. 79, 1797 (1997); Phys. Rev. E 61, 196 (2000); V. G. Benza, cond-mat/0006029; G. C. Ferrario and V. G. Benza, J. Phys.: Condens. Matter 11, 7557 (1999) (cond-mat/9907011); A. V. Izyumov and B. D. Simons, Phys. Rev. Lett. 83, 4373 (1999) (cond-mat/9910163); Europhys. Lett. 45, 290 (1999) (cond-mat/9811260); A. V. Izyumov and K. V. Samokhin, J. Phys. A 32, 7843 (1999) (cond-mat/9909407); B. Mehlig and J. T. Chalker, J. Math. Phys. 41, 3233 (2000) (cond-mat/9906279); Phys. Rev. Lett. 81, 3367 (1998) (cond-mat/9809090); Ann. Phys. (Berlin) 7, 427 (1998); R. A. Janik, W. Noerenberg, M. A. Nowak, G. Papp, and I. Zahed, Phys. Rev. E 60, 2699 (1999) (cond-mat;9902314); S. Hikami and R. Pnini, J. Phys. A 31, L587 (1998) (cond-mat/9806254); A. Sedrakyan, Nucl. Phys. B 554, 554 (1999) (cond-mat/9806301); A. A. Andrianov, F. Cannata, J. P. Dedonder, and M. V. Ioffe, Int. J. Mod. Phys. A 14, 2675 (1999) (quant-ph/9806019); F. Cannata, G. Junker, and J. Trost, Phys. Lett. A 246, 219 (1998) (quant-ph/9805085); X.-B. Wang, L. C. Kwek, and C. H. Oh, Phys. Lett. A 259, 7 (1999).
28. F. Haake, F. Izrailev, N. Lehmann, D. Saher, and H. J. Sommers, Z. Phys. B: Condens. Matter 88, 359 (1992); H. J. Sommers, A. Crisanti, H. Sompolinsky, and Y. Stein, Phys. Rev. Lett. 60, 1895 (1988); M. A. Stephanov, ibid. 76, 4472 (1996); M. A. Halasz, A. D Jackson, and J. J. M. Verbaarschot, Phys. Rev. D 56, 5140 (1997); M. A. Halasz, J. C. Osborn, and J. J. M. Verbaarschot, ibid. 56, 7059 (1997); M. A. Halasz, A. D. Jackson, R. E. Shrock, M. A. Stephanov, and J. J. M. Verbaarschot, ibid. 58, 096007 (1998) (hep-ph/9804290); T. Guhr and T. Wettig, Nucl. Phys. B 506, 589 (1997) (hep-th/9704055); H. Markum, R. Pullirsch, and T. Wettig, Phys. Rev. Lett. 83, 484 (1999) (hep-lat/9906020); R. A. Janik, M. A. Nowak, G. Papp, and I. Zahed, Phys. Rev. Lett. 77, 4876 (1996); E. Gudowska-Nowak, G. Papp, and J. Brickmann, preprint cond-mat/9701187; Y. V. Fyodorov, B. A. Khoruzhenko, and H.-J. Sommers, Phys. Rev. Lett. 79, 557 (1997); Phys. Lett. A 226, 46 (1997); Ann. Inst. H. Poincare, Sect. A 68, 449 (1998); H.-J. Sommers, Yan V. Fyodorov, and M. Titov, J. Phys. A 32, L77 (1999) (chao-dyn/9807015); B. A. Khoruzhenko, J. Phys. A 29, L165 (1996); N. Hatano and D. R. Nelson, Phys. Rev. Lett. 77, 570 (1997) (cond-mat/9603165); Phys. Rev. B 56, 8651 (1997) (cond-mat/9705290); Phys. Rev. B 58, 8384 (1998) (cond-mat/9805195); D. R. Nelson and N. M. Shnerb, cond-mat/9708071; Phys. Rev. Lett. 80, 5172 (1998) (cond-mat/9801111); R. A. Lehrer and D. R. Nelson, Phys. Rev. B 58, 12385 (1998) (cond-mat/9806016); K. A. Dahmen, D. R. Nelson, and N. M. Shnerb, cond-mat/9903276; K. B. Efetov, Phys. Rev. Lett. 79, 491 (1997); Phys. Rev. B 56, 9630 (1997); A. V. Kolesnikov and K. B. Efetov, Waves Random Media 9, 71 (1999); Phys. Rev. Lett. 84, 5600 (2000) (cond-mat/0001263); J. Feinberg and A. Zee, Phys. Rev. E 59, 6433 (1999) (cond-mat/9706218); Nucl. Phys. B 552, 599 (1999) (cond-mat/9710040); E. Brézin and A. Zee, Nucl. Phys. B 509, 599 (1998) (cond-mat/9708029); C. Mudry, P. Brouwer, B. Halperin, V. Gurarie, and A. Zee, Phys. Rev. B 58, 13539 (1998); P. W. Brouwer, ibid. 57, 10526 (1998) (cond-mat/9711113); P. W. Brouwer, C. Mudry, B. D. Simons, and A. Altland, Phys. Rev. Lett. 81, 862 (1998) (cond-mat/9807189); C. Mudry, B. D. Simons, and A. Altlanld, Phys. Rev. Lett. 80, 4257 (1998) (cond-mat/9712103); R. A. Janik, M. A. Nowak, G. Papp, and I. Zahed, Acta Phys. Pol. B 30, 45 (1999) (cond-mat/9705098); I. Y. Goldsheid and B. A. Khoruzhenko, Phys. Rev. Lett. 80, 2897 (1998) (cond-mat/9707230); I. V. Yurkevich and I. V. Lerner, Phys. Rev. Lett. 82, 5080 (1999); P. W. Brouwer, P. G. Silvestrov, and C. W. J. Beenakker, Phys. Rev. Lett. 56, 4333 (1997) (cond-mat/9705186); P. G. Silvestrov, Phys. Rev. B 58, 10111 (1998) (cond-mat/9802219); Phys. Rev. Lett. 82, 3140 (1999) (cond-mat/9804093); cond-mat/0008118; B. Derrida, J. L. Jacobsen, and R. Zeitak, J. Stat. Phys. 98, 31 (2000) (cond-mat/9906235); G. M. Cicuta, M. Contedini, and L. Molinari, cond-mat/9907014; L. Molinari, J. Phys. A 31, 8553 (1998); J. Miller and Z. J. Wang, Phys. Rev. Lett. 76, 1461 (1996); J. T. Chalker and Z. Jane Wang, ibid. 79, 1797 (1997); Phys. Rev. E 61, 196 (2000); V. G. Benza, cond-mat/0006029; G. C. Ferrario and V. G. Benza, J. Phys.: Condens. Matter 11, 7557 (1999) (cond-mat/9907011); A. V. Izyumov and B. D. Simons, Phys. Rev. Lett. 83, 4373 (1999) (cond-mat/9910163); Europhys. Lett. 45, 290 (1999) (cond-mat/9811260); A. V. Izyumov and K. V. Samokhin, J. Phys. A 32, 7843 (1999) (cond-mat/9909407); B. Mehlig and J. T. Chalker, J. Math. Phys. 41, 3233 (2000) (cond-mat/9906279); Phys. Rev. Lett. 81, 3367 (1998) (cond-mat/9809090); Ann. Phys. (Berlin) 7, 427 (1998); R. A. Janik, W. Noerenberg, M. A. Nowak, G. Papp, and I. Zahed, Phys. Rev. E 60, 2699 (1999) (cond-mat;9902314); S. Hikami and R. Pnini, J. Phys. A 31, L587 (1998) (cond-mat/9806254); A. Sedrakyan, Nucl. Phys. B 554, 554 (1999) (cond-mat/9806301); A. A. Andrianov, F. Cannata, J. P. Dedonder, and M. V. Ioffe, Int. J. Mod. Phys. A 14, 2675 (1999) (quant-ph/9806019); F. Cannata, G. Junker, and J. Trost, Phys. Lett. A 246, 219 (1998) (quant-ph/9805085); X.-B. Wang, L. C. Kwek, and C. H. Oh, Phys. Lett. A 259, 7 (1999).
29. F. Haake, F. Izrailev, N. Lehmann, D. Saher, and H. J. Sommers, Z. Phys. B: Condens. Matter 88, 359 (1992); H. J. Sommers, A. Crisanti, H. Sompolinsky, and Y. Stein, Phys. Rev. Lett. 60, 1895 (1988); M. A. Stephanov, ibid. 76, 4472 (1996); M. A. Halasz, A. D Jackson, and J. J. M. Verbaarschot, Phys. Rev. D 56, 5140 (1997); M. A. Halasz, J. C. Osborn, and J. J. M. Verbaarschot, ibid. 56, 7059 (1997); M. A. Halasz, A. D. Jackson, R. E. Shrock, M. A. Stephanov, and J. J. M. Verbaarschot, ibid. 58, 096007 (1998) (hep-ph/9804290); T. Guhr and T. Wettig, Nucl. Phys. B 506, 589 (1997) (hep-th/9704055); H. Markum, R. Pullirsch, and T. Wettig, Phys. Rev. Lett. 83, 484 (1999) (hep-lat/9906020); R. A. Janik, M. A. Nowak, G. Papp, and I. Zahed, Phys. Rev. Lett. 77, 4876 (1996); E. Gudowska-Nowak, G. Papp, and J. Brickmann, preprint cond-mat/9701187; Y. V. Fyodorov, B. A. Khoruzhenko, and H.-J. Sommers, Phys. Rev. Lett. 79, 557 (1997); Phys. Lett. A 226, 46 (1997); Ann. Inst. H. Poincare, Sect. A 68, 449 (1998); H.-J. Sommers, Yan V. Fyodorov, and M. Titov, J. Phys. A 32, L77 (1999) (chao-dyn/9807015); B. A. Khoruzhenko, J. Phys. A 29, L165 (1996); N. Hatano and D. R. Nelson, Phys. Rev. Lett. 77, 570 (1997) (cond-mat/9603165); Phys. Rev. B 56, 8651 (1997) (cond-mat/9705290); Phys. Rev. B 58, 8384 (1998) (cond-mat/9805195); D. R. Nelson and N. M. Shnerb, cond-mat/9708071; Phys. Rev. Lett. 80, 5172 (1998) (cond-mat/9801111); R. A. Lehrer and D. R. Nelson, Phys. Rev. B 58, 12385 (1998) (cond-mat/9806016); K. A. Dahmen, D. R. Nelson, and N. M. Shnerb, cond-mat/9903276; K. B. Efetov, Phys. Rev. Lett. 79, 491 (1997); Phys. Rev. B 56, 9630 (1997); A. V. Kolesnikov and K. B. Efetov, Waves Random Media 9, 71 (1999); Phys. Rev. Lett. 84, 5600 (2000) (cond-mat/0001263); J. Feinberg and A. Zee, Phys. Rev. E 59, 6433 (1999) (cond-mat/9706218); Nucl. Phys. B 552, 599 (1999) (cond-mat/9710040); E. Brézin and A. Zee, Nucl. Phys. B 509, 599 (1998) (cond-mat/9708029); C. Mudry, P. Brouwer, B. Halperin, V. Gurarie, and A. Zee, Phys. Rev. B 58, 13539 (1998); P. W. Brouwer, ibid. 57, 10526 (1998) (cond-mat/9711113); P. W. Brouwer, C. Mudry, B. D. Simons, and A. Altland, Phys. Rev. Lett. 81, 862 (1998) (cond-mat/9807189); C. Mudry, B. D. Simons, and A. Altlanld, Phys. Rev. Lett. 80, 4257 (1998) (cond-mat/9712103); R. A. Janik, M. A. Nowak, G. Papp, and I. Zahed, Acta Phys. Pol. B 30, 45 (1999) (cond-mat/9705098); I. Y. Goldsheid and B. A. Khoruzhenko, Phys. Rev. Lett. 80, 2897 (1998) (cond-mat/9707230); I. V. Yurkevich and I. V. Lerner, Phys. Rev. Lett. 82, 5080 (1999); P. W. Brouwer, P. G. Silvestrov, and C. W. J. Beenakker, Phys. Rev. Lett. 56, 4333 (1997) (cond-mat/9705186); P. G. Silvestrov, Phys. Rev. B 58, 10111 (1998) (cond-mat/9802219); Phys. Rev. Lett. 82, 3140 (1999) (cond-mat/9804093); cond-mat/0008118; B. Derrida, J. L. Jacobsen, and R. Zeitak, J. Stat. Phys. 98, 31 (2000) (cond-mat/9906235); G. M. Cicuta, M. Contedini, and L. Molinari, cond-mat/9907014; L. Molinari, J. Phys. A 31, 8553 (1998); J. Miller and Z. J. Wang, Phys. Rev. Lett. 76, 1461 (1996); J. T. Chalker and Z. Jane Wang, ibid. 79, 1797 (1997); Phys. Rev. E 61, 196 (2000); V. G. Benza, cond-mat/0006029; G. C. Ferrario and V. G. Benza, J. Phys.: Condens. Matter 11, 7557 (1999) (cond-mat/9907011); A. V. Izyumov and B. D. Simons, Phys. Rev. Lett. 83, 4373 (1999) (cond-mat/9910163); Europhys. Lett. 45, 290 (1999) (cond-mat/9811260); A. V. Izyumov and K. V. Samokhin, J. Phys. A 32, 7843 (1999) (cond-mat/9909407); B. Mehlig and J. T. Chalker, J. Math. Phys. 41, 3233 (2000) (cond-mat/9906279); Phys. Rev. Lett. 81, 3367 (1998) (cond-mat/9809090); Ann. Phys. (Berlin) 7, 427 (1998); R. A. Janik, W. Noerenberg, M. A. Nowak, G. Papp, and I. Zahed, Phys. Rev. E 60, 2699 (1999) (cond-mat;9902314); S. Hikami and R. Pnini, J. Phys. A 31, L587 (1998) (cond-mat/9806254); A. Sedrakyan, Nucl. Phys. B 554, 554 (1999) (cond-mat/9806301); A. A. Andrianov, F. Cannata, J. P. Dedonder, and M. V. Ioffe, Int. J. Mod. Phys. A 14, 2675 (1999) (quant-ph/9806019); F. Cannata, G. Junker, and J. Trost, Phys. Lett. A 246, 219 (1998) (quant-ph/9805085); X.-B. Wang, L. C. Kwek, and C. H. Oh, Phys. Lett. A 259, 7 (1999).
30. F. Haake, F. Izrailev, N. Lehmann, D. Saher, and H. J. Sommers, Z. Phys. B: Condens. Matter 88, 359 (1992); H. J. Sommers, A. Crisanti, H. Sompolinsky, and Y. Stein, Phys. Rev. Lett. 60, 1895 (1988); M. A. Stephanov, ibid. 76, 4472 (1996); M. A. Halasz, A. D Jackson, and J. J. M. Verbaarschot, Phys. Rev. D 56, 5140 (1997); M. A. Halasz, J. C. Osborn, and J. J. M. Verbaarschot, ibid. 56, 7059 (1997); M. A. Halasz, A. D. Jackson, R. E. Shrock, M. A. Stephanov, and J. J. M. Verbaarschot, ibid. 58, 096007 (1998) (hep-ph/9804290); T. Guhr and T. Wettig, Nucl. Phys. B 506, 589 (1997) (hep-th/9704055); H. Markum, R. Pullirsch, and T. Wettig, Phys. Rev. Lett. 83, 484 (1999) (hep-lat/9906020); R. A. Janik, M. A. Nowak, G. Papp, and I. Zahed, Phys. Rev. Lett. 77, 4876 (1996); E. Gudowska-Nowak, G. Papp, and J. Brickmann, preprint cond-mat/9701187; Y. V. Fyodorov, B. A. Khoruzhenko, and H.-J. Sommers, Phys. Rev. Lett. 79, 557 (1997); Phys. Lett. A 226, 46 (1997); Ann. Inst. H. Poincare, Sect. A 68, 449 (1998); H.-J. Sommers, Yan V. Fyodorov, and M. Titov, J. Phys. A 32, L77 (1999) (chao-dyn/9807015); B. A. Khoruzhenko, J. Phys. A 29, L165 (1996); N. Hatano and D. R. Nelson, Phys. Rev. Lett. 77, 570 (1997) (cond-mat/9603165); Phys. Rev. B 56, 8651 (1997) (cond-mat/9705290); Phys. Rev. B 58, 8384 (1998) (cond-mat/9805195); D. R. Nelson and N. M. Shnerb, cond-mat/9708071; Phys. Rev. Lett. 80, 5172 (1998) (cond-mat/9801111); R. A. Lehrer and D. R. Nelson, Phys. Rev. B 58, 12385 (1998) (cond-mat/9806016); K. A. Dahmen, D. R. Nelson, and N.
31. F. Haake, F. Izrailev, N. Lehmann, D. Saher, and H. J. Sommers, Z. Phys. B: Condens. Matter 88, 359 (1992); H. J. Sommers, A. Crisanti, H. Sompolinsky, and Y. Stein, Phys. Rev. Lett. 60, 1895 (1988); M. A. Stephanov, ibid. 76, 4472 (1996); M. A. Halasz, A. D Jackson, and J. J. M. Verbaarschot, Phys. Rev. D 56, 5140 (1997); M. A. Halasz, J. C. Osborn, and J. J. M. Verbaarschot, ibid. 56, 7059 (1997); M. A. Halasz, A. D. Jackson, R. E. Shrock, M. A. Stephanov, and J. J. M. Verbaarschot, ibid. 58, 096007 (1998) (hep-ph/9804290); T. Guhr and T. Wettig, Nucl. Phys. B 506, 589 (1997) (hep-th/9704055); H. Markum, R. Pullirsch, and T. Wettig, Phys. Rev. Lett. 83, 484 (1999) (hep-lat/9906020); R. A. Janik, M. A. Nowak, G. Papp, and I. Zahed, Phys. Rev. Lett. 77, 4876 (1996); E. Gudowska-Nowak, G. Papp, and J. Brickmann, preprint cond-mat/9701187; Y. V. Fyodorov, B. A. Khoruzhenko, and H.-J. Sommers, Phys. Rev. Lett. 79, 557 (1997); Phys. Lett. A 226, 46 (1997); Ann. Inst. H. Poincare, Sect. A 68, 449 (1998); H.-J. Sommers, Yan V. Fyodorov, and M. Titov, J. Phys. A 32, L77 (1999) (chao-dyn/9807015); B. A. Khoruzhenko, J. Phys. A 29, L165 (1996); N. Hatano and D. R. Nelson, Phys. Rev. Lett. 77, 570 (1997) (cond-mat/9603165); Phys. Rev. B 56, 8651 (1997) (cond-mat/9705290); Phys. Rev. B 58, 8384 (1998) (cond-mat/9805195); D. R. Nelson and N. M. Shnerb, cond-mat/9708071; Phys. Rev. Lett. 80, 5172 (1998) (cond-mat/9801111); R. A. Lehrer and D. R. Nelson, Phys. Rev. B 58, 12385 (1998) (cond-mat/9806016); K. A. Dahmen, D. R. Nelson, and N. M. Shnerb, cond-mat/9903276; K. B. Efetov, Phys. Rev. Lett. 79, 491 (1997); Phys. Rev. B 56, 9630 (1997); A. V. Kolesnikov and K. B. Efetov, Waves Random Media 9, 71 (1999); Phys. Rev. Lett. 84, 5600 (2000) (cond-mat/0001263); J. Feinberg and A. Zee, Phys. Rev. E 59, 6433 (1999) (cond-mat/9706218); Nucl. Phys. B 552, 599 (1999) (cond-mat/9710040); E. Brézin and A. Zee, Nucl. Phys. B 509, 599 (1998) (cond-mat/9708029); C. Mudry, P. Brouwer, B. Halperin, V. Gurarie, and A. Zee, Phys. Rev. B 58, 13539 (1998); P. W. Brouwer, ibid. 57, 10526 (1998) (cond-mat/9711113); P. W. Brouwer, C. Mudry, B. D. Simons, and A. Altland, Phys. Rev. Lett. 81, 862 (1998) (cond-mat/9807189); C. Mudry, B. D. Simons, and A. Altlanld, Phys. Rev. Lett. 80, 4257 (1998) (cond-mat/9712103); R. A. Janik, M. A. Nowak, G. Papp, and I. Zahed, Acta Phys. Pol. B 30, 45 (1999) (cond-mat/9705098); I. Y. Goldsheid and B. A. Khoruzhenko, Phys. Rev. Lett. 80, 2897 (1998) (cond-mat/9707230); I. V. Yurkevich and I. V. Lerner, Phys. Rev. Lett. 82, 5080 (1999); P. W. Brouwer, P. G. Silvestrov, and C. W. J. Beenakker, Phys. Rev. Lett. 56, 4333 (1997) (cond-mat/9705186); P. G. Silvestrov, Phys. Rev. B 58, 10111 (1998) (cond-mat/9802219); Phys. Rev. Lett. 82, 3140 (1999) (cond-mat/9804093); cond-mat/0008118; B. Derrida, J. L. Jacobsen, and R. Zeitak, J. Stat. Phys. 98, 31 (2000) (cond-mat/9906235); G. M. Cicuta, M. Contedini, and L. Molinari, cond-mat/9907014; L. Molinari, J. Phys. A 31, 8553 (1998); J. Miller and Z. J. Wang, Phys. Rev. Lett. 76, 1461 (1996); J. T. Chalker and Z. Jane Wang, ibid. 79, 1797 (1997); Phys. Rev. E 61, 196 (2000); V. G. Benza, cond-mat/0006029; G. C. Ferrario and V. G. Benza, J. Phys.: Condens. Matter 11, 7557 (1999) (cond-mat/9907011); A. V. Izyumov and B. D. Simons, Phys. Rev. Lett. 83, 4373 (1999) (cond-mat/9910163); Europhys. Lett. 45, 290 (1999) (cond-mat/9811260); A. V. Izyumov and K. V. Samokhin, J. Phys. A 32, 7843 (1999) (cond-mat/9909407); B. Mehlig and J. T. Chalker, J. Math. Phys. 41, 3233 (2000) (cond-mat/9906279); Phys. Rev. Lett. 81, 3367 (1998) (cond-mat/9809090); Ann. Phys. (Berlin) 7, 427 (1998); R. A. Janik, W. Noerenberg, M. A. Nowak, G. Papp, and I. Zahed, Phys. Rev. E 60, 2699 (1999) (cond-mat;9902314); S. Hikami and R. Pnini, J. Phys. A 31, L587 (1998) (cond-mat/9806254); A. Sedrakyan, Nucl. Phys. B 554, 554 (1999) (cond-mat/9806301); A. A. Andrianov, F. Cannata, J. P. Dedonder, and M. V. Ioffe, Int. J. Mod. Phys. A 14, 2675 (1999) (quant-ph/9806019); F. Cannata, G. Junker, and J. Trost, Phys. Lett. A 246, 219 (1998) (quant-ph/9805085); X.-B. Wang, L. C. Kwek, and C. H. Oh, Phys. Lett. A 259, 7 (1999).
32. F. Haake, F. Izrailev, N. Lehmann, D. Saher, and H. J. Sommers, Z. Phys. B: Condens. Matter 88, 359 (1992); H. J. Sommers, A. Crisanti, H. Sompolinsky, and Y. Stein, Phys. Rev. Lett. 60, 1895 (1988); M. A. Stephanov, ibid. 76, 4472 (1996); M. A. Halasz, A. D Jackson, and J. J. M. Verbaarschot, Phys. Rev. D 56, 5140 (1997); M. A. Halasz, J. C. Osborn, and J. J. M. Verbaarschot, ibid. 56, 7059 (1997); M. A. Halasz, A. D. Jackson, R. E. Shrock, M. A. Stephanov, and J. J. M. Verbaarschot, ibid. 58, 096007 (1998) (hep-ph/9804290); T. Guhr and T. Wettig, Nucl. Phys. B 506, 589 (1997) (hep-th/9704055); H. Markum, R. Pullirsch, and T. Wettig, Phys. Rev. Lett. 83, 484 (1999) (hep-lat/9906020); R. A. Janik, M. A. Nowak, G. Papp, and I. Zahed, Phys. Rev. Lett. 77, 4876 (1996); E. Gudowska-Nowak, G. Papp, and J. Brickmann, preprint cond-mat/9701187; Y. V. Fyodorov, B. A. Khoruzhenko, and H.-J. Sommers, Phys. Rev. Lett. 79, 557 (1997); Phys. Lett. A 226, 46 (1997); Ann. Inst. H. Poincare, Sect. A 68, 449 (1998); H.-J. Sommers, Yan V. Fyodorov, and M. Titov, J. Phys. A 32, L77 (1999) (chao-dyn/9807015); B. A. Khoruzhenko, J. Phys. A 29, L165 (1996); N. Hatano and D. R. Nelson, Phys. Rev. Lett. 77, 570 (1997) (cond-mat/9603165); Phys. Rev. B 56, 8651 (1997) (cond-mat/9705290); Phys. Rev. B 58, 8384 (1998) (cond-mat/9805195); D. R. Nelson and N. M. Shnerb, cond-mat/9708071; Phys. Rev. Lett. 80, 5172 (1998) (cond-mat/9801111); R. A. Lehrer and D. R. Nelson, Phys. Rev. B 58, 12385 (1998) (cond-mat/9806016); K. A. Dahmen, D. R. Nelson, and N. M. Shnerb, cond-mat/9903276; K. B. Efetov, Phys. Rev. Lett. 79, 491 (1997); Phys. Rev. B 56, 9630 (1997); A. V. Kolesnikov and K. B. Efetov, Waves Random Media 9, 71 (1999); Phys. Rev. Lett. 84, 5600 (2000) (cond-mat/0001263); J. Feinberg and A. Zee, Phys. Rev. E 59, 6433 (1999) (cond-mat/9706218); Nucl. Phys. B 552, 599 (1999) (cond-mat/9710040); E. Brézin and A. Zee, Nucl. Phys. B 509, 599 (1998) (cond-mat/9708029); C. Mudry, P. Brouwer, B. Halperin, V. Gurarie, and A. Zee, Phys. Rev. B 58, 13539 (1998); P. W. Brouwer, ibid. 57, 10526 (1998) (cond-mat/9711113); P. W. Brouwer, C. Mudry, B. D. Simons, and A. Altland, Phys. Rev. Lett. 81, 862 (1998) (cond-mat/9807189); C. Mudry, B. D. Simons, and A. Altlanld, Phys. Rev. Lett. 80, 4257 (1998) (cond-mat/9712103); R. A. Janik, M. A. Nowak, G. Papp, and I. Zahed, Acta Phys. Pol. B 30, 45 (1999) (cond-mat/9705098); I. Y. Goldsheid and B. A. Khoruzhenko, Phys. Rev. Lett. 80, 2897 (1998) (cond-mat/9707230); I. V. Yurkevich and I. V. Lerner, Phys. Rev. Lett. 82, 5080 (1999); P. W. Brouwer, P. G. Silvestrov, and C. W. J. Beenakker, Phys. Rev. Lett. 56, 4333 (1997) (cond-mat/9705186); P. G. Silvestrov, Phys. Rev. B 58, 10111 (1998) (cond-mat/9802219); Phys. Rev. Lett. 82, 3140 (1999) (cond-mat/9804093); cond-mat/0008118; B. Derrida, J. L. Jacobsen, and R. Zeitak, J. Stat. Phys. 98, 31 (2000) (cond-mat/9906235); G. M. Cicuta, M. Contedini, and L. Molinari, cond-mat/9907014; L. Molinari, J. Phys. A 31, 8553 (1998); J. Miller and Z. J. Wang, Phys. Rev. Lett. 76, 1461 (1996); J. T. Chalker and Z. Jane Wang, ibid. 79, 1797 (1997); Phys. Rev. E 61, 196 (2000); V. G. Benza, cond-mat/0006029; G. C. Ferrario and V. G. Benza, J. Phys.: Condens. Matter 11, 7557 (1999) (cond-mat/9907011); A. V. Izyumov and B. D. Simons, Phys. Rev. Lett. 83, 4373 (1999) (cond-mat/9910163); Europhys. Lett. 45, 290 (1999) (cond-mat/9811260); A. V. Izyumov and K. V. Samokhin, J. Phys. A 32, 7843 (1999) (cond-mat/9909407); B. Mehlig and J. T. Chalker, J. Math. Phys. 41, 3233 (2000) (cond-mat/9906279); Phys. Rev. Lett. 81, 3367 (1998) (cond-mat/9809090); Ann. Phys. (Berlin) 7, 427 (1998); R. A. Janik, W. Noerenberg, M. A. Nowak, G. Papp, and I. Zahed, Phys. Rev. E 60, 2699 (1999) (cond-mat;9902314); S. Hikami and R. Pnini, J. Phys. A 31, L587 (1998) (cond-mat/9806254); A. Sedrakyan, Nucl. Phys. B 554, 554 (1999) (cond-mat/9806301); A. A. Andrianov, F. Cannata, J. P. Dedonder, and M. V. Ioffe, Int. J. Mod. Phys. A 14, 2675 (1999) (quant-ph/9806019); F. Cannata, G. Junker, and J. Trost, Phys. Lett. A 246, 219 (1998) (quant-ph/9805085); X.-B. Wang, L. C. Kwek, and C. H. Oh, Phys. Lett. A 259, 7 (1999).
33. F. Haake, F. Izrailev, N. Lehmann, D. Saher, and H. J. Sommers, Z. Phys. B: Condens. Matter 88, 359 (1992); H. J. Sommers, A. Crisanti, H. Sompolinsky, and Y. Stein, Phys. Rev. Lett. 60, 1895 (1988); M. A. Stephanov, ibid. 76, 4472 (1996); M. A. Halasz, A. D Jackson, and J. J. M. Verbaarschot, Phys. Rev. D 56, 5140 (1997); M. A. Halasz, J. C. Osborn, and J. J. M. Verbaarschot, ibid. 56, 7059 (1997); M. A. Halasz, A. D. Jackson, R. E. Shrock, M. A. Stephanov, and J. J. M. Verbaarschot, ibid. 58, 096007 (1998) (hep-ph/9804290); T. Guhr and T. Wettig, Nucl. Phys. B 506, 589 (1997) (hep-th/9704055); H. Markum, R. Pullirsch, and T. Wettig, Phys. Rev. Lett. 83, 484 (1999) (hep-lat/9906020); R. A. Janik, M. A. Nowak, G. Papp, and I. Zahed, Phys. Rev. Lett. 77, 4876 (1996); E. Gudowska-Nowak, G. Papp, and J. Brickmann, preprint cond-mat/9701187; Y. V. Fyodorov, B. A. Khoruzhenko, and H.-J. Sommers, Phys. Rev. Lett. 79, 557 (1997); Phys. Lett. A 226, 46 (1997); Ann. Inst. H. Poincare, Sect. A 68, 449 (1998); H.-J. Sommers, Yan V. Fyodorov, and M. Titov, J. Phys. A 32, L77 (1999) (chao-dyn/9807015); B. A. Khoruzhenko, J. Phys. A 29, L165 (1996); N. Hatano and D. R. Nelson, Phys. Rev. Lett. 77, 570 (1997) (cond-mat/9603165); Phys. Rev. B 56, 8651 (1997) (cond-mat/9705290); Phys. Rev. B 58, 8384 (1998) (cond-mat/9805195); D. R. Nelson and N. M. Shnerb, cond-mat/9708071; Phys. Rev. Lett. 80, 5172 (1998) (cond-mat/9801111); R. A. Lehrer and D. R. Nelson, Phys. Rev. B 58, 12385 (1998) (cond-mat/9806016); K. A. Dahmen, D. R. Nelson, and N. M. Shnerb, cond-mat/9903276; K. B. Efetov, Phys. Rev. Lett. 79, 491 (1997); Phys. Rev. B 56, 9630 (1997); A. V. Kolesnikov and K. B. Efetov, Waves Random Media 9, 71 (1999); Phys. Rev. Lett. 84, 5600 (2000) (cond-mat/0001263); J. Feinberg and A. Zee, Phys. Rev. E 59, 6433 (1999) (cond-mat/9706218); Nucl. Phys. B 552, 599 (1999) (cond-mat/9710040); E. Brézin and A. Zee, Nucl. Phys. B 509, 599 (1998) (cond-mat/9708029); C. Mudry, P. Brouwer, B. Halperin, V. Gurarie, and A. Zee, Phys. Rev. B 58, 13539 (1998); P. W. Brouwer, ibid. 57, 10526 (1998) (cond-mat/9711113); P. W. Brouwer, C. Mudry, B. D. Simons, and A. Altland, Phys. Rev. Lett. 81, 862 (1998) (cond-mat/9807189); C. Mudry, B. D. Simons, and A. Altlanld, Phys. Rev. Lett. 80, 4257 (1998) (cond-mat/9712103); R. A. Janik, M. A. Nowak, G. Papp, and I. Zahed, Acta Phys. Pol. B 30, 45 (1999) (cond-mat/9705098); I. Y. Goldsheid and B. A. Khoruzhenko, Phys. Rev. Lett. 80, 2897 (1998) (cond-mat/9707230); I. V. Yurkevich and I. V. Lerner, Phys. Rev. Lett. 82, 5080 (1999); P. W. Brouwer, P. G. Silvestrov, and C. W. J. Beenakker, Phys. Rev. Lett. 56, 4333 (1997) (cond-mat/9705186); P. G. Silvestrov, Phys. Rev. B 58, 10111 (1998) (cond-mat/9802219); Phys. Rev. Lett. 82, 3140 (1999) (cond-mat/9804093); cond-mat/0008118; B. Derrida, J. L. Jacobsen, and R. Zeitak, J. Stat. Phys. 98, 31 (2000) (cond-mat/9906235); G. M. Cicuta, M. Contedini, and L. Molinari, cond-mat/9907014; L. Molinari, J. Phys. A 31, 8553 (1998); J. Miller and Z. J. Wang, Phys. Rev. Lett. 76, 1461 (1996); J. T. Chalker and Z. Jane Wang, ibid. 79, 1797 (1997); Phys. Rev. E 61, 196 (2000); V. G. Benza, cond-mat/0006029; G. C. Ferrario and V. G. Benza, J. Phys.: Condens. Matter 11, 7557 (1999) (cond-mat/9907011); A. V. Izyumov and B. D. Simons, Phys. Rev. Lett. 83, 4373 (1999) (cond-mat/9910163); Europhys. Lett. 45, 290 (1999) (cond-mat/9811260); A. V. Izyumov and K. V. Samokhin, J. Phys. A 32, 7843 (1999) (cond-mat/9909407); B. Mehlig and J. T. Chalker, J. Math. Phys. 41, 3233 (2000) (cond-mat/9906279); Phys. Rev. Lett. 81, 3367 (1998) (cond-mat/9809090); Ann. Phys. (Berlin) 7, 427 (1998); R. A. Janik, W. Noerenberg, M. A. Nowak, G. Papp, and I. Zahed, Phys. Rev. E 60, 2699 (1999) (cond-mat;9902314); S. Hikami and R. Pnini, J. Phys. A 31, L587 (1998) (cond-mat/9806254); A. Sedrakyan, Nucl. Phys. B 554, 554 (1999) (cond-mat/9806301); A. A. Andrianov, F. Cannata, J. P. Dedonder, and M. V. Ioffe, Int. J. Mod. Phys. A 14, 2675 (1999) (quant-ph/9806019); F. Cannata, G. Junker, and J. Trost, Phys. Lett. A 246, 219 (1998) (quant-ph/9805085); X.-B. Wang, L. C. Kwek, and C. H. Oh, Phys. Lett. A 259, 7 (1999).
34. F. Haake, F. Izrailev, N. Lehmann, D. Saher, and H. J. Sommers, Z. Phys. B: Condens. Matter 88, 359 (1992); H. J. Sommers, A. Crisanti, H. Sompolinsky, and Y. Stein, Phys. Rev. Lett. 60, 1895 (1988); M. A. Stephanov, ibid. 76, 4472 (1996); M. A. Halasz, A. D Jackson, and J. J. M. Verbaarschot, Phys. Rev. D 56, 5140 (1997); M. A. Halasz, J. C. Osborn, and J. J. M. Verbaarschot, ibid. 56, 7059 (1997); M. A. Halasz, A. D. Jackson, R. E. Shrock, M. A. Stephanov, and J. J. M. Verbaarschot, ibid. 58, 096007 (1998) (hep-ph/9804290); T. Guhr and T. Wettig, Nucl. Phys. B 506, 589 (1997) (hep-th/9704055); H. Markum, R. Pullirsch, and T. Wettig, Phys. Rev. Lett. 83, 484 (1999) (hep-lat/9906020); R. A. Janik, M. A. Nowak, G. Papp, and I. Zahed, Phys. Rev. Lett. 77, 4876 (1996); E. Gudowska-Nowak, G. Papp, and J. Brickmann, preprint cond-mat/9701187; Y. V. Fyodorov, B. A. Khoruzhenko, and H.-J. Sommers, Phys. Rev. Lett. 79, 557 (1997); Phys. Lett. A 226, 46 (1997); Ann. Inst. H. Poincare, Sect. A 68, 449 (1998); H.-J. Sommers, Yan V. Fyodorov, and M. Titov, J. Phys. A 32, L77 (1999) (chao-dyn/9807015); B. A. Khoruzhenko, J. Phys. A 29, L165 (1996); N. Hatano and D. R. Nelson, Phys. Rev. Lett. 77, 570 (1997) (cond-mat/9603165); Phys. Rev. B 56, 8651 (1997) (cond-mat/9705290); Phys. Rev. B 58, 8384 (1998) (cond-mat/9805195); D. R. Nelson and N. M. Shnerb, cond-mat/9708071; Phys. Rev. Lett. 80, 5172 (1998) (cond-mat/9801111); R. A. Lehrer and D. R. Nelson, Phys. Rev. B 58, 12385 (1998) (cond-mat/9806016); K. A. Dahmen, D. R. Nelson, and N. M. Shnerb, cond-mat/9903276; K. B. Efetov, Phys. Rev. Lett. 79, 491 (1997); Phys. Rev. B 56, 9630 (1997); A. V. Kolesnikov and K. B. Efetov, Waves Random Media 9, 71 (1999); Phys. Rev. Lett. 84, 5600 (2000) (cond-mat/0001263); J. Feinberg and A. Zee, Phys. Rev. E 59, 6433 (1999) (cond-mat/9706218); Nucl. Phys. B 552, 599 (1999) (cond-mat/9710040); E. Brézin and A. Zee, Nucl. Phys. B 509, 599 (1998) (cond-mat/9708029); C. Mudry, P. Brouwer, B. Halperin, V. Gurarie, and A. Zee, Phys. Rev. B 58, 13539 (1998); P. W. Brouwer, ibid. 57, 10526 (1998) (cond-mat/9711113); P. W. Brouwer, C. Mudry, B. D. Simons, and A. Altland, Phys. Rev. Lett. 81, 862 (1998) (cond-mat/9807189); C. Mudry, B. D. Simons, and A. Altlanld, Phys. Rev. Lett. 80, 4257 (1998) (cond-mat/9712103); R. A. Janik, M. A. Nowak, G. Papp, and I. Zahed, Acta Phys. Pol. B 30, 45 (1999) (cond-mat/9705098); I. Y. Goldsheid and B. A. Khoruzhenko, Phys. Rev. Lett. 80, 2897 (1998) (cond-mat/9707230); I. V. Yurkevich and I. V. Lerner, Phys. Rev. Lett. 82, 5080 (1999); P. W. Brouwer, P. G. Silvestrov, and C. W. J. Beenakker, Phys. Rev. Lett. 56, 4333 (1997) (cond-mat/9705186); P. G. Silvestrov, Phys. Rev. B 58, 10111 (1998) (cond-mat/9802219); Phys. Rev. Lett. 82, 3140 (1999) (cond-mat/9804093); cond-mat/0008118; B. Derrida, J. L. Jacobsen, and R. Zeitak, J. Stat. Phys. 98, 31 (2000) (cond-mat/9906235); G. M. Cicuta, M. Contedini, and L. Molinari, cond-mat/9907014; L. Molinari, J. Phys. A 31, 8553 (1998); J. Miller and Z. J. Wang, Phys. Rev. Lett. 76, 1461 (1996); J. T. Chalker and Z. Jane Wang, ibid. 79, 1797 (1997); Phys. Rev. E 61, 196 (2000); V. G. Benza, cond-mat/0006029; G. C. Ferrario and V. G. Benza, J. Phys.: Condens. Matter 11, 7557 (1999) (cond-mat/9907011); A. V. Izyumov and B. D. Simons, Phys. Rev. Lett. 83, 4373 (1999) (cond-mat/9910163); Europhys. Lett. 45, 290 (1999) (cond-mat/9811260); A. V. Izyumov and K. V. Samokhin, J. Phys. A 32, 7843 (1999) (cond-mat/9909407); B. Mehlig and J. T. Chalker, J. Math. Phys. 41, 3233 (2000) (cond-mat/9906279); Phys. Rev. Lett. 81, 3367 (1998) (cond-mat/9809090); Ann. Phys. (Berlin) 7, 427 (1998); R. A. Janik, W. Noerenberg, M. A. Nowak, G. Papp, and I. Zahed, Phys. Rev. E 60, 2699 (1999) (cond-mat;9902314); S. Hikami and R. Pnini, J. Phys. A 31, L587 (1998) (cond-mat/9806254); A. Sedrakyan, Nucl. Phys. B 554, 554 (1999) (cond-mat/9806301); A. A. Andrianov, F. Cannata, J. P. Dedonder, and M. V. Ioffe, Int. J. Mod. Phys. A 14, 2675 (1999) (quant-ph/9806019); F. Cannata, G. Junker, and J. Trost, Phys. Lett. A 246, 219 (1998) (quant-ph/9805085); X.-B. Wang, L. C. Kwek, and C. H. Oh, Phys. Lett. A 259, 7 (1999).
35. F. Haake, F. Izrailev, N. Lehmann, D. Saher, and H. J. Sommers, Z. Phys. B: Condens. Matter 88, 359 (1992); H. J. Sommers, A. Crisanti, H. Sompolinsky, and Y. Stein, Phys. Rev. Lett. 60, 1895 (1988); M. A. Stephanov, ibid. 76, 4472 (1996); M. A. Halasz, A. D Jackson, and J. J. M. Verbaarschot, Phys. Rev. D 56, 5140 (1997); M. A. Halasz, J. C. Osborn, and J. J. M. Verbaarschot, ibid. 56, 7059 (1997); M. A. Halasz, A. D. Jackson, R. E. Shrock, M. A. Stephanov, and J. J. M. Verbaarschot, ibid. 58, 096007 (1998) (hep-ph/9804290); T. Guhr and T. Wettig, Nucl. Phys. B 506, 589 (1997) (hep-th/9704055); H. Markum, R. Pullirsch, and T. Wettig, Phys. Rev. Lett. 83, 484 (1999) (hep-lat/9906020); R. A. Janik, M. A. Nowak, G. Papp, and I. Zahed, Phys. Rev. Lett. 77, 4876 (1996); E. Gudowska-Nowak, G. Papp, and J. Brickmann, preprint cond-mat/9701187; Y. V. Fyodorov, B. A. Khoruzhenko, and H.-J. Sommers, Phys. Rev. Lett. 79, 557 (1997); Phys. Lett. A 226, 46 (1997); Ann. Inst. H. Poincare, Sect. A 68, 449 (1998); H.-J. Sommers, Yan V. Fyodorov, and M. Titov, J. Phys. A 32, L77 (1999) (chao-dyn/9807015); B. A. Khoruzhenko, J. Phys. A 29, L165 (1996); N. Hatano and D. R. Nelson, Phys. Rev. Lett. 77, 570 (1997) (cond-mat/9603165); Phys. Rev. B 56, 8651 (1997) (cond-mat/9705290); Phys. Rev. B 58, 8384 (1998) (cond-mat/9805195); D. R. Nelson and N. M. Shnerb, cond-mat/9708071; Phys. Rev. Lett. 80, 5172 (1998) (cond-mat/9801111); R. A. Lehrer and D. R. Nelson, Phys. Rev. B 58, 12385 (1998) (cond-mat/9806016); K. A. Dahmen, D. R. Nelson, and N. M. Shnerb, cond-mat/9903276; K. B. Efetov, Phys. Rev. Lett. 79, 491 (1997); Phys. Rev. B 56, 9630 (1997); A. V. Kolesnikov and K. B. Efetov, Waves Random Media 9, 71 (1999); Phys. Rev. Lett. 84, 5600 (2000) (cond-mat/0001263); J. Feinberg and A. Zee, Phys. Rev. E 59, 6433 (1999) (cond-mat/9706218); Nucl. Phys. B 552, 599 (1999) (cond-mat/9710040); E. Brézin and A. Zee, Nucl. Phys. B 509, 599 (1998) (cond-mat/9708029); C. Mudry, P. Brouwer, B. Halperin, V. Gurarie, and A. Zee, Phys. Rev. B 58, 13539 (1998); P. W. Brouwer, ibid. 57, 10526 (1998) (cond-mat/9711113); P. W. Brouwer, C. Mudry, B. D. Simons, and A. Altland, Phys. Rev. Lett. 81, 862 (1998) (cond-mat/9807189); C. Mudry, B. D. Simons, and A. Altlanld, Phys. Rev. Lett. 80, 4257 (1998) (cond-mat/9712103); R. A. Janik, M. A. Nowak, G. Papp, and I. Zahed, Acta Phys. Pol. B 30, 45 (1999) (cond-mat/9705098); I. Y. Goldsheid and B. A. Khoruzhenko, Phys. Rev. Lett. 80, 2897 (1998) (cond-mat/9707230); I. V. Yurkevich and I. V. Lerner, Phys. Rev. Lett. 82, 5080 (1999); P. W. Brouwer, P. G. Silvestrov, and C. W. J. Beenakker, Phys. Rev. Lett. 56, 4333 (1997) (cond-mat/9705186); P. G. Silvestrov, Phys. Rev. B 58, 10111 (1998) (cond-mat/9802219); Phys. Rev. Lett. 82, 3140 (1999) (cond-mat/9804093); cond-mat/0008118; B. Derrida, J. L. Jacobsen, and R. Zeitak, J. Stat. Phys. 98, 31 (2000) (cond-mat/9906235); G. M. Cicuta, M. Contedini, and L. Molinari, cond-mat/9907014; L. Molinari, J. Phys. A 31, 8553 (1998); J. Miller and Z. J. Wang, Phys. Rev. Lett. 76, 1461 (1996); J. T. Chalker and Z. Jane Wang, ibid. 79, 1797 (1997); Phys. Rev. E 61, 196 (2000); V. G. Benza, cond-mat/0006029; G. C. Ferrario and V. G. Benza, J. Phys.: Condens. Matter 11, 7557 (1999) (cond-mat/9907011); A. V. Izyumov and B. D. Simons, Phys. Rev. Lett. 83, 4373 (1999) (cond-mat/9910163); Europhys. Lett. 45, 290 (1999) (cond-mat/9811260); A. V. Izyumov and K. V. Samokhin, J. Phys. A 32, 7843 (1999) (cond-mat/9909407); B. Mehlig and J. T. Chalker, J. Math. Phys. 41, 3233 (2000) (cond-mat/9906279); Phys. Rev. Lett. 81, 3367 (1998) (cond-mat/9809090); Ann. Phys. (Berlin) 7, 427 (1998); R. A. Janik, W. Noerenberg, M. A. Nowak, G. Papp, and I. Zahed, Phys. Rev. E 60, 2699 (1999) (cond-mat;9902314); S. Hikami and R. Pnini, J. Phys. A 31, L587 (1998) (cond-mat/9806254); A. Sedrakyan, Nucl. Phys. B 554, 554 (1999) (cond-mat/9806301); A. A. Andrianov, F. Cannata, J. P. Dedonder, and M. V. Ioffe, Int. J. Mod. Phys. A 14, 2675 (1999) (quant-ph/9806019); F. Cannata, G. Junker, and J. Trost, Phys. Lett. A 246, 219 (1998) (quant-ph/9805085); X.-B. Wang, L. C. Kwek, and C. H. Oh, Phys. Lett. A 259, 7 (1999).
36. F. Haake, F. Izrailev, N. Lehmann, D. Saher, and H. J. Sommers, Z. Phys. B: Condens. Matter 88, 359 (1992); H. J. Sommers, A. Crisanti, H. Sompolinsky, and Y. Stein, Phys. Rev. Lett. 60, 1895 (1988); M. A. Stephanov, ibid. 76, 4472 (1996); M. A. Halasz, A. D Jackson, and J. J. M. Verbaarschot, Phys. Rev. D 56, 5140 (1997); M. A. Halasz, J. C. Osborn, and J. J. M. Verbaarschot, ibid. 56, 7059 (1997); M. A. Halasz, A. D. Jackson, R. E. Shrock, M. A. Stephanov, and J. J. M. Verbaarschot, ibid. 58, 096007 (1998) (hep-ph/9804290); T. Guhr and T. Wettig, Nucl. Phys. B 506, 589 (1997) (hep-th/9704055); H. Markum, R. Pullirsch, and T. Wettig, Phys. Rev. Lett. 83, 484 (1999) (hep-lat/9906020); R. A. Janik, M. A. Nowak, G. Papp, and I. Zahed, Phys. Rev. Lett. 77, 4876 (1996); E. Gudowska-Nowak, G. Papp, and J. Brickmann, preprint cond-mat/9701187; Y. V. Fyodorov, B. A. Khoruzhenko, and H.-J. Sommers, Phys. Rev. Lett. 79, 557 (1997); Phys. Lett. A 226, 46 (1997); Ann. Inst. H. Poincare, Sect. A 68, 449 (1998); H.-J. Sommers, Yan V. Fyodorov, and M. Titov, J. Phys. A 32, L77 (1999) (chao-dyn/9807015); B. A. Khoruzhenko, J. Phys. A 29, L165 (1996); N. Hatano and D. R. Nelson, Phys. Rev. Lett. 77, 570 (1997) (cond-mat/9603165); Phys. Rev. B 56, 8651 (1997) (cond-mat/9705290); Phys. Rev. B 58, 8384 (1998) (cond-mat/9805195); D. R. Nelson and N. M. Shnerb, cond-mat/9708071; Phys. Rev. Lett. 80, 5172 (1998) (cond-mat/9801111); R. A. Lehrer and D. R. Nelson, Phys. Rev. B 58, 12385 (1998) (cond-mat/9806016); K. A. Dahmen, D. R. Nelson, and N. M. Shnerb, cond-mat/9903276; K. B. Efetov, Phys. Rev. Lett. 79, 491 (1997); Phys. Rev. B 56, 9630 (1997); A. V. Kolesnikov and K. B. Efetov, Waves Random Media 9, 71 (1999); Phys. Rev. Lett. 84, 5600 (2000) (cond-mat/0001263); J. Feinberg and A. Zee, Phys. Rev. E 59, 6433 (1999) (cond-mat/9706218); Nucl. Phys. B 552, 599 (1999) (cond-mat/9710040); E. Brézin and A. Zee, Nucl. Phys. B 509, 599 (1998) (cond-mat/9708029); C. Mudry, P. Brouwer, B. Halperin, V. Gurarie, and A. Zee, Phys. Rev. B 58, 13539 (1998); P. W. Brouwer, ibid. 57, 10526 (1998) (cond-mat/9711113); P. W. Brouwer, C. Mudry, B. D. Simons, and A. Altland, Phys. Rev. Lett. 81, 862 (1998) (cond-mat/9807189); C. Mudry, B. D. Simons, and A. Altlanld, Phys. Rev. Lett. 80, 4257 (1998) (cond-mat/9712103); R. A. Janik, M. A. Nowak, G. Papp, and I. Zahed, Acta Phys. Pol. B 30, 45 (1999) (cond-mat/9705098); I. Y. Goldsheid and B. A. Khoruzhenko, Phys. Rev. Lett. 80, 2897 (1998) (cond-mat/9707230); I. V. Yurkevich and I. V. Lerner, Phys. Rev. Lett. 82, 5080 (1999); P. W. Brouwer, P. G. Silvestrov, and C. W. J. Beenakker, Phys. Rev. Lett. 56, 4333 (1997) (cond-mat/9705186); P. G. Silvestrov, Phys. Rev. B 58, 10111 (1998) (cond-mat/9802219); Phys. Rev. Lett. 82, 3140 (1999) (cond-mat/9804093); cond-mat/0008118; B. Derrida, J. L. Jacobsen, and R. Zeitak, J. Stat. Phys. 98, 31 (2000) (cond-mat/9906235); G. M. Cicuta, M. Contedini, and L. Molinari, cond-mat/9907014; L. Molinari, J. Phys. A 31, 8553 (1998); J. Miller and Z. J. Wang, Phys. Rev. Lett. 76, 1461 (1996); J. T. Chalker and Z. Jane Wang, ibid. 79, 1797 (1997); Phys. Rev. E 61, 196 (2000); V. G. Benza, cond-mat/0006029; G. C. Ferrario and V. G. Benza, J. Phys.: Condens. Matter 11, 7557 (1999) (cond-mat/9907011); A. V. Izyumov and B. D. Simons, Phys. Rev. Lett. 83, 4373 (1999) (cond-mat/9910163); Europhys. Lett. 45, 290 (1999) (cond-mat/9811260); A. V. Izyumov and K. V. Samokhin, J. Phys. A 32, 7843 (1999) (cond-mat/9909407); B. Mehlig and J. T. Chalker, J. Math. Phys. 41, 3233 (2000) (cond-mat/9906279); Phys. Rev. Lett. 81, 3367 (1998) (cond-mat/9809090); Ann. Phys. (Berlin) 7, 427 (1998); R. A. Janik, W. Noerenberg, M. A. Nowak, G. Papp, and I. Zahed, Phys. Rev. E 60, 2699 (1999) (cond-mat;9902314); S. Hikami and R. Pnini, J. Phys. A 31, L587 (1998) (cond-mat/9806254); A. Sedrakyan, Nucl. Phys. B 554, 554 (1999) (cond-mat/9806301); A. A. Andrianov, F. Cannata, J. P. Dedonder, and M. V. Ioffe, Int. J. Mod. Phys. A 14, 2675 (1999) (quant-ph/9806019); F. Cannata, G. Junker, and J. Trost, Phys. Lett. A 246, 219 (1998) (quant-ph/9805085); X.-B. Wang, L. C. Kwek, and C. H. Oh, Phys. Lett. A 259, 7 (1999).
37. F. Haake, F. Izrailev, N. Lehmann, D. Saher, and H. J. Sommers, Z. Phys. B: Condens. Matter 88, 359 (1992); H. J. Sommers, A. Crisanti, H. Sompolinsky, and Y. Stein, Phys. Rev. Lett. 60, 1895 (1988); M. A. Stephanov, ibid. 76, 4472 (1996); M. A. Halasz, A. D Jackson, and J. J. M. Verbaarschot, Phys. Rev. D 56, 5140 (1997); M. A. Halasz, J. C. Osborn, and J. J. M. Verbaarschot, ibid. 56, 7059 (1997); M. A. Halasz, A. D. Jackson, R. E. Shrock, M. A. Stephanov, and J. J. M. Verbaarschot, ibid. 58, 096007 (1998) (hep-ph/9804290); T. Guhr and T. Wettig, Nucl. Phys. B 506, 589 (1997) (hep-th/9704055); H. Markum, R. Pullirsch, and T. Wettig, Phys. Rev. Lett. 83, 484 (1999) (hep-lat/9906020); R. A. Janik, M. A. Nowak, G. Papp, and I. Zahed, Phys. Rev. Lett. 77, 4876 (1996); E. Gudowska-Nowak, G. Papp, and J. Brickmann, preprint cond-mat/9701187; Y. V. Fyodorov, B. A. Khoruzhenko, and H.-J. Sommers, Phys. Rev. Lett. 79, 557 (1997); Phys. Lett. A 226, 46 (1997); Ann. Inst. H. Poincare, Sect. A 68, 449 (1998); H.-J. Sommers, Yan V. Fyodorov, and M. Titov, J. Phys. A 32, L77 (1999) (chao-dyn/9807015); B. A. Khoruzhenko, J. Phys. A 29, L165 (1996); N. Hatano and D. R. Nelson, Phys. Rev. Lett. 77, 570 (1997) (cond-mat/9603165); Phys. Rev. B 56, 8651 (1997) (cond-mat/9705290); Phys. Rev. B 58, 8384 (1998) (cond-mat/9805195); D. R. Nelson and N. M. Shnerb, cond-mat/9708071; Phys. Rev. Lett. 80, 5172 (1998) (cond-mat/9801111); R. A. Lehrer and D. R. Nelson, Phys. Rev. B 58, 12385 (1998) (cond-mat/9806016); K. A. Dahmen, D. R. Nelson, and N. M. Shnerb, cond-mat/9903276; K. B. Efetov, Phys. Rev. Lett. 79, 491 (1997); Phys. Rev. B 56, 9630 (1997); A. V. Kolesnikov and K. B. Efetov, Waves Random Media 9, 71 (1999); Phys. Rev. Lett. 84, 5600 (2000) (cond-mat/0001263); J. Feinberg and A. Zee, Phys. Rev. E 59, 6433 (1999) (cond-mat/9706218); Nucl. Phys. B 552, 599 (1999) (cond-mat/9710040); E. Brézin and A. Zee, Nucl. Phys. B 509, 599 (1998) (cond-mat/9708029); C. Mudry, P. Brouwer, B. Halperin, V. Gurarie, and A. Zee, Phys. Rev. B 58, 13539 (1998); P. W. Brouwer, ibid. 57, 10526 (1998) (cond-mat/9711113); P. W. Brouwer, C. Mudry, B. D. Simons, and A. Altland, Phys. Rev. Lett. 81, 862 (1998) (cond-mat/9807189); C. Mudry, B. D. Simons, and A. Altlanld, Phys. Rev. Lett. 80, 4257 (1998) (cond-mat/9712103); R. A. Janik, M. A. Nowak, G. Papp, and I. Zahed, Acta Phys. Pol. B 30, 45 (1999) (cond-mat/9705098); I. Y. Goldsheid and B. A. Khoruzhenko, Phys. Rev. Lett. 80, 2897 (1998) (cond-mat/9707230); I. V. Yurkevich and I. V. Lerner, Phys. Rev. Lett. 82, 5080 (1999); P. W. Brouwer, P. G. Silvestrov, and C. W. J. Beenakker, Phys. Rev. Lett. 56, 4333 (1997) (cond-mat/9705186); P. G. Silvestrov, Phys. Rev. B 58, 10111 (1998) (cond-mat/9802219); Phys. Rev. Lett. 82, 3140 (1999) (cond-mat/9804093); cond-mat/0008118; B. Derrida, J. L. Jacobsen, and R. Zeitak, J. Stat. Phys. 98, 31 (2000) (cond-mat/9906235); G. M. Cicuta, M. Contedini, and L. Molinari, cond-mat/9907014; L. Molinari, J. Phys. A 31, 8553 (1998); J. Miller and Z. J. Wang, Phys. Rev. Lett. 76, 1461 (1996); J. T. Chalker and Z. Jane Wang, ibid. 79, 1797 (1997); Phys. Rev. E 61, 196 (2000); V. G. Benza, cond-mat/0006029; G. C. Ferrario and V. G. Benza, J. Phys.: Condens. Matter 11, 7557 (1999) (cond-mat/9907011); A. V. Izyumov and B. D. Simons, Phys. Rev. Lett. 83, 4373 (1999) (cond-mat/9910163); Europhys. Lett. 45, 290 (1999) (cond-mat/9811260); A. V. Izyumov and K. V. Samokhin, J. Phys. A 32, 7843 (1999) (cond-mat/9909407); B. Mehlig and J. T. Chalker, J. Math. Phys. 41, 3233 (2000) (cond-mat/9906279); Phys. Rev. Lett. 81, 3367 (1998) (cond-mat/9809090); Ann. Phys. (Berlin) 7, 427 (1998); R. A. Janik, W. Noerenberg, M. A. Nowak, G. Papp, and I. Zahed, Phys. Rev. E 60, 2699 (1999) (cond-mat;9902314); S. Hikami and R. Pnini, J. Phys. A 31, L587 (1998) (cond-mat/9806254); A. Sedrakyan, Nucl. Phys. B 554, 554 (1999) (cond-mat/9806301); A. A. Andrianov, F. Cannata, J. P. Dedonder, and M. V. Ioffe, Int. J. Mod. Phys. A 14, 2675 (1999) (quant-ph/9806019); F. Cannata, G. Junker, and J. Trost, Phys. Lett. A 246, 219 (1998) (quant-ph/9805085); X.-B. Wang, L. C. Kwek, and C. H. Oh, Phys. Lett. A 259, 7 (1999).
38. F. Haake, F. Izrailev, N. Lehmann, D. Saher, and H. J. Sommers, Z. Phys. B: Condens. Matter 88, 359 (1992); H. J. Sommers, A. Crisanti, H. Sompolinsky, and Y. Stein, Phys. Rev. Lett. 60, 1895 (1988); M. A. Stephanov, ibid. 76, 4472 (1996); M. A. Halasz, A. D Jackson, and J. J. M. Verbaarschot, Phys. Rev. D 56, 5140 (1997); M. A. Halasz, J. C. Osborn, and J. J. M. Verbaarschot, ibid. 56, 7059 (1997); M. A. Halasz, A. D. Jackson, R. E. Shrock, M. A. Stephanov, and J. J. M. Verbaarschot, ibid. 58, 096007 (1998) (hep-ph/9804290); T. Guhr and T. Wettig, Nucl. Phys. B 506, 589 (1997) (hep-th/9704055); H. Markum, R. Pullirsch, and T. Wettig, Phys. Rev. Lett. 83, 484 (1999) (hep-lat/9906020); R. A. Janik, M. A. Nowak, G. Papp, and I. Zahed, Phys. Rev. Lett. 77, 4876 (1996); E. Gudowska-Nowak, G. Papp, and J. Brickmann, preprint cond-mat/9701187; Y. V. Fyodorov, B. A. Khoruzhenko, and H.-J. Sommers, Phys. Rev. Lett. 79, 557 (1997); Phys. Lett. A 226, 46 (1997); Ann. Inst. H. Poincare, Sect. A 68, 449 (1998); H.-J. Sommers, Yan V. Fyodorov, and M. Titov, J. Phys. A 32, L77 (1999) (chao-dyn/9807015); B. A. Khoruzhenko, J. Phys. A 29, L165 (1996); N. Hatano and D. R. Nelson, Phys. Rev. Lett. 77, 570 (1997) (cond-mat/9603165); Phys. Rev. B 56, 8651 (1997) (cond-mat/9705290); Phys. Rev. B 58, 8384 (1998) (cond-mat/9805195); D. R. Nelson and N. M. Shnerb, cond-mat/9708071; Phys. Rev. Lett. 80, 5172 (1998) (cond-mat/9801111); R. A. Lehrer and D. R. Nelson, Phys. Rev. B 58, 12385 (1998) (cond-mat/9806016); K. A. Dahmen, D. R. Nelson, and N. M. Shnerb, cond-mat/9903276; K. B. Efetov, Phys. Rev. Lett. 79, 491 (1997); Phys. Rev. B 56, 9630 (1997); A. V. Kolesnikov and K. B. Efetov, Waves Random Media 9, 71 (1999); Phys. Rev. Lett. 84, 5600 (2000) (cond-mat/0001263); J. Feinberg and A. Zee, Phys. Rev. E 59, 6433 (1999) (cond-mat/9706218); Nucl. Phys. B 552, 599 (1999) (cond-mat/9710040); E. Brézin and A. Zee, Nucl. Phys. B 509, 599 (1998) (cond-mat/9708029); C. Mudry, P. Brouwer, B. Halperin, V. Gurarie, and A. Zee, Phys. Rev. B 58, 13539 (1998); P. W. Brouwer, ibid. 57, 10526 (1998) (cond-mat/9711113); P. W. Brouwer, C. Mudry, B. D. Simons, and A. Altland, Phys. Rev. Lett. 81, 862 (1998) (cond-mat/9807189); C. Mudry, B. D. Simons, and A. Altlanld, Phys. Rev. Lett. 80, 4257 (1998) (cond-mat/9712103); R. A. Janik, M. A. Nowak, G. Papp, and I. Zahed, Acta Phys. Pol. B 30, 45 (1999) (cond-mat/9705098); I. Y. Goldsheid and B. A. Khoruzhenko, Phys. Rev. Lett. 80, 2897 (1998) (cond-mat/9707230); I. V. Yurkevich and I. V. Lerner, Phys. Rev. Lett. 82, 5080 (1999); P. W. Brouwer, P. G. Silvestrov, and C. W. J. Beenakker, Phys. Rev. Lett. 56, 4333 (1997) (cond-mat/9705186); P. G. Silvestrov, Phys. Rev. B 58, 10111 (1998) (cond-mat/9802219); Phys. Rev. Lett. 82, 3140 (1999) (cond-mat/9804093); cond-mat/0008118; B. Derrida, J. L. Jacobsen, and R. Zeitak, J. Stat. Phys. 98, 31 (2000) (cond-mat/9906235); G. M. Cicuta, M. Contedini, and L. Molinari, cond-mat/9907014; L. Molinari, J. Phys. A 31, 8553 (1998); J. Miller and Z. J. Wang, Phys. Rev. Lett. 76, 1461 (1996); J. T. Chalker and Z. Jane Wang, ibid. 79, 1797 (1997); Phys. Rev. E 61, 196 (2000); V. G. Benza, cond-mat/0006029; G. C. Ferrario and V. G. Benza, J. Phys.: Condens. Matter 11, 7557 (1999) (cond-mat/9907011); A. V. Izyumov and B. D. Simons, Phys. Rev. Lett. 83, 4373 (1999) (cond-mat/9910163); Europhys. Lett. 45, 290 (1999) (cond-mat/9811260); A. V. Izyumov and K. V. Samokhin, J. Phys. A 32, 7843 (1999) (cond-mat/9909407); B. Mehlig and J. T. Chalker, J. Math. Phys. 41, 3233 (2000) (cond-mat/9906279); Phys. Rev. Lett. 81, 3367 (1998) (cond-mat/9809090); Ann. Phys. (Berlin) 7, 427 (1998); R. A. Janik, W. Noerenberg, M. A. Nowak, G. Papp, and I. Zahed, Phys. Rev. E 60, 2699 (1999) (cond-mat;9902314); S. Hikami and R. Pnini, J. Phys. A 31, L587 (1998) (cond-mat/9806254); A. Sedrakyan, Nucl. Phys. B 554, 554 (1999) (cond-mat/9806301); A. A. Andrianov, F. Cannata, J. P. Dedonder, and M. V. Ioffe, Int. J. Mod. Phys. A 14, 2675 (1999) (quant-ph/9806019); F. Cannata, G. Junker, and J. Trost, Phys. Lett. A 246, 219 (1998) (quant-ph/9805085); X.-B. Wang, L. C. Kwek, and C. H. Oh, Phys. Lett. A 259, 7 (1999).
39. F. Haake, F. Izrailev, N. Lehmann, D. Saher, and H. J. Sommers, Z. Phys. B: Condens. Matter 88, 359 (1992); H. J. Sommers, A. Crisanti, H. Sompolinsky, and Y. Stein, Phys. Rev. Lett. 60, 1895 (1988); M. A. Stephanov, ibid. 76, 4472 (1996); M. A. Halasz, A. D Jackson, and J. J. M. Verbaarschot, Phys. Rev. D 56, 5140 (1997); M. A. Halasz, J. C. Osborn, and J. J. M. Verbaarschot, ibid. 56, 7059 (1997); M. A. Halasz, A. D. Jackson, R. E. Shrock, M. A. Stephanov, and J. J. M. Verbaarschot, ibid. 58, 096007 (1998) (hep-ph/9804290); T. Guhr and T. Wettig, Nucl. Phys. B 506, 589 (1997) (hep-th/9704055); H. Markum, R. Pullirsch, and T. Wettig, Phys. Rev. Lett. 83, 484 (1999) (hep-lat/9906020); R. A. Janik, M. A. Nowak, G. Papp, and I. Zahed, Phys. Rev. Lett. 77, 4876 (1996); E. Gudowska-Nowak, G. Papp, and J. Brickmann, preprint cond-mat/9701187; Y. V. Fyodorov, B. A. Khoruzhenko, and H.-J. Sommers, Phys. Rev. Lett. 79, 557 (1997); Phys. Lett. A 226, 46 (1997); Ann. Inst. H. Poincare, Sect. A 68, 449 (1998); H.-J. Sommers, Yan V. Fyodorov, and M. Titov, J. Phys. A 32, L77 (1999) (chao-dyn/9807015); B. A. Khoruzhenko, J. Phys. A 29, L165 (1996); N. Hatano and D. R. Nelson, Phys. Rev. Lett. 77, 570 (1997) (cond-mat/9603165); Phys. Rev. B 56, 8651 (1997) (cond-mat/9705290); Phys. Rev. B 58, 8384 (1998) (cond-mat/9805195); D. R. Nelson and N. M. Shnerb, cond-mat/9708071; Phys. Rev. Lett. 80, 5172 (1998) (cond-mat/9801111); R. A. Lehrer and D. R. Nelson, Phys. Rev. B 58, 12385 (1998) (cond-mat/9806016); K. A. Dahmen, D. R. Nelson, and N. M. Shnerb, cond-mat/9903276; K. B. Efetov, Phys. Rev. Lett. 79, 491 (1997); Phys. Rev. B 56, 9630 (1997); A. V. Kolesnikov and K. B. Efetov, Waves Random Media 9, 71 (1999); Phys. Rev. Lett. 84, 5600 (2000) (cond-mat/0001263); J. Feinberg and A. Zee, Phys. Rev. E 59, 6433 (1999) (cond-mat/9706218); Nucl. Phys. B 552, 599 (1999) (cond-mat/9710040); E. Brézin and A. Zee, Nucl. Phys. B 509, 599 (1998) (cond-mat/9708029); C. Mudry, P. Brouwer, B. Halperin, V. Gurarie, and A. Zee, Phys. Rev. B 58, 13539 (1998); P. W. Brouwer, ibid. 57, 10526 (1998) (cond-mat/9711113); P. W. Brouwer, C. Mudry, B. D. Simons, and A. Altland, Phys. Rev. Lett. 81, 862 (1998) (cond-mat/9807189); C. Mudry, B. D. Simons, and A. Altlanld, Phys. Rev. Lett. 80, 4257 (1998) (cond-mat/9712103); R. A. Janik, M. A. Nowak, G. Papp, and I. Zahed, Acta Phys. Pol. B 30, 45 (1999) (cond-mat/9705098); I. Y. Goldsheid and B. A. Khoruzhenko, Phys. Rev. Lett. 80, 2897 (1998) (cond-mat/9707230); I. V. Yurkevich and I. V. Lerner, Phys. Rev. Lett. 82, 5080 (1999); P. W. Brouwer, P. G. Silvestrov, and C. W. J. Beenakker, Phys. Rev. Lett. 56, 4333 (1997) (cond-mat/9705186); P. G. Silvestrov, Phys. Rev. B 58, 10111 (1998) (cond-mat/9802219); Phys. Rev. Lett. 82, 3140 (1999) (cond-mat/9804093); cond-mat/0008118; B. Derrida, J. L. Jacobsen, and R. Zeitak, J. Stat. Phys. 98, 31 (2000) (cond-mat/9906235); G. M. Cicuta, M. Contedini, and L. Molinari, cond-mat/9907014; L. Molinari, J. Phys. A 31, 8553 (1998); J. Miller and Z. J. Wang, Phys. Rev. Lett. 76, 1461 (1996); J. T. Chalker and Z. Jane Wang, ibid. 79, 1797 (1997); Phys. Rev. E 61, 196 (2000); V. G. Benza, cond-mat/0006029; G. C. Ferrario and V. G. Benza, J. Phys.: Condens. Matter 11, 7557 (1999) (cond-mat/9907011); A. V. Izyumov and B. D. Simons, Phys. Rev. Lett. 83, 4373 (1999) (cond-mat/9910163); Europhys. Lett. 45, 290 (1999) (cond-mat/9811260); A. V. Izyumov and K. V. Samokhin, J. Phys. A 32, 7843 (1999) (cond-mat/9909407); B. Mehlig and J. T. Chalker, J. Math. Phys. 41, 3233 (2000) (cond-mat/9906279); Phys. Rev. Lett. 81, 3367 (1998) (cond-mat/9809090); Ann. Phys. (Berlin) 7, 427 (1998); R. A. Janik, W. Noerenberg, M. A. Nowak, G. Papp, and I. Zahed, Phys. Rev. E 60, 2699 (1999) (cond-mat;9902314); S. Hikami and R. Pnini, J. Phys. A 31, L587 (1998) (cond-mat/9806254); A. Sedrakyan, Nucl. Phys. B 554, 554 (1999) (cond-mat/9806301); A. A. Andrianov, F. Cannata, J. P. Dedonder, and M. V. Ioffe, Int. J. Mod. Phys. A 14, 2675 (1999) (quant-ph/9806019); F. Cannata, G. Junker, and J. Trost, Phys. Lett. A 246, 219 (1998) (quant-ph/9805085); X.-B. Wang, L. C. Kwek, and C. H. Oh, Phys. Lett. A 259, 7 (1999).
40. F. Haake, F. Izrailev, N. Lehmann, D. Saher, and H. J. Sommers, Z. Phys. B: Condens. Matter 88, 359 (1992); H. J. Sommers, A. Crisanti, H. Sompolinsky, and Y. Stein, Phys. Rev. Lett. 60, 1895 (1988); M. A. Stephanov, ibid. 76, 4472 (1996); M. A. Halasz, A. D Jackson, and J. J. M. Verbaarschot, Phys. Rev. D 56, 5140 (1997); M. A. Halasz, J. C. Osborn, and J. J. M. Verbaarschot, ibid. 56, 7059 (1997); M. A. Halasz, A. D. Jackson, R. E. Shrock, M. A. Stephanov, and J. J. M. Verbaarschot, ibid. 58, 096007 (1998) (hep-ph/9804290); T. Guhr and T. Wettig, Nucl. Phys. B 506, 589 (1997) (hep-th/9704055); H. Markum, R. Pullirsch, and T. Wettig, Phys. Rev. Lett. 83, 484 (1999) (hep-lat/9906020); R. A. Janik, M. A. Nowak, G. Papp, and I. Zahed, Phys. Rev. Lett. 77, 4876 (1996); E. Gudowska-Nowak, G. Papp, and J. Brickmann, preprint cond-mat/9701187; Y. V. Fyodorov, B. A. Khoruzhenko, and H.-J. Sommers, Phys. Rev. Lett. 79, 557 (1997); Phys. Lett. A 226, 46 (1997); Ann. Inst. H. Poincare, Sect. A 68, 449 (1998); H.-J. Sommers, Yan V. Fyodorov, and M. Titov, J. Phys. A 32, L77 (1999) (chao-dyn/9807015); B. A. Khoruzhenko, J. Phys. A 29, L165 (1996); N. Hatano and D. R. Nelson, Phys. Rev. Lett. 77, 570 (1997) (cond-mat/9603165); Phys. Rev. B 56, 8651 (1997) (cond-mat/9705290); Phys. Rev. B 58, 8384 (1998) (cond-mat/9805195); D. R. Nelson and N. M. Shnerb, cond-mat/9708071; Phys. Rev. Lett. 80, 5172 (1998) (cond-mat/9801111); R. A. Lehrer and D. R. Nelson, Phys. Rev. B 58, 12385 (1998) (cond-mat/9806016); K. A. Dahmen, D. R. Nelson, and N. M. Shnerb, cond-mat/9903276; K. B. Efetov, Phys. Rev. Lett. 79, 491 (1997); Phys. Rev. B 56, 9630 (1997); A. V. Kolesnikov and K. B. Efetov, Waves Random Media 9, 71 (1999); Phys. Rev. Lett. 84, 5600 (2000) (cond-mat/0001263); J. Feinberg and A. Zee, Phys. Rev. E 59, 6433 (1999) (cond-mat/9706218); Nucl. Phys. B 552, 599 (1999) (cond-mat/9710040); E. Brézin and A. Zee, Nucl. Phys. B 509, 599 (1998) (cond-mat/9708029); C. Mudry, P. Brouwer, B. Halperin, V. Gurarie, and A. Zee, Phys. Rev. B 58, 13539 (1998); P. W. Brouwer, ibid. 57, 10526 (1998) (cond-mat/9711113); P. W. Brouwer, C. Mudry, B. D. Simons, and A. Altland, Phys. Rev. Lett. 81, 862 (1998) (cond-mat/9807189); C. Mudry, B. D. Simons, and A. Altlanld, Phys. Rev. Lett. 80, 4257 (1998) (cond-mat/9712103); R. A. Janik, M. A. Nowak, G. Papp, and I. Zahed, Acta Phys. Pol. B 30, 45 (1999) (cond-mat/9705098); I. Y. Goldsheid and B. A. Khoruzhenko, Phys. Rev. Lett. 80, 2897 (1998) (cond-mat/9707230); I. V. Yurkevich and I. V. Lerner, Phys. Rev. Lett. 82, 5080 (1999); P. W. Brouwer, P. G. Silvestrov, and C. W. J. Beenakker, Phys. Rev. Lett. 56, 4333 (1997) (cond-mat/9705186); P. G. Silvestrov, Phys. Rev. B 58, 10111 (1998) (cond-mat/9802219); Phys. Rev. Lett. 82, 3140 (1999) (cond-mat/9804093); cond-mat/0008118; B. Derrida, J. L. Jacobsen, and R. Zeitak, J. Stat. Phys. 98, 31 (2000) (cond-mat/9906235); G. M. Cicuta, M. Contedini, and L. Molinari, cond-mat/9907014; L. Molinari, J. Phys. A 31, 8553 (1998); J. Miller and Z. J. Wang, Phys. Rev. Lett. 76, 1461 (1996); J. T. Chalker and Z. Jane Wang, ibid. 79, 1797 (1997); Phys. Rev. E 61, 196 (2000); V. G. Benza, cond-mat/0006029; G. C. Ferrario and V. G. Benza, J. Phys.: Condens. Matter 11, 7557 (1999) (cond-mat/9907011); A. V. Izyumov and B. D. Simons, Phys. Rev. Lett. 83, 4373 (1999) (cond-mat/9910163); Europhys. Lett. 45, 290 (1999) (cond-mat/9811260); A. V. Izyumov and K. V. Samokhin, J. Phys. A 32, 7843 (1999) (cond-mat/9909407); B. Mehlig and J. T. Chalker, J. Math. Phys. 41, 3233 (2000) (cond-mat/9906279); Phys. Rev. Lett. 81, 3367 (1998) (cond-mat/9809090); Ann. Phys. (Berlin) 7, 427 (1998); R. A. Janik, W. Noerenberg, M. A. Nowak, G. Papp, and I. Zahed, Phys. Rev. E 60, 2699 (1999) (cond-mat;9902314); S. Hikami and R. Pnini, J. Phys. A 31, L587 (1998) (cond-mat/9806254); A. Sedrakyan, Nucl. Phys. B 554, 554 (1999) (cond-mat/9806301); A. A. Andrianov, F. Cannata, J. P. Dedonder, and M. V. Ioffe, Int. J. Mod. Phys. A 14, 2675 (1999) (quant-ph/9806019); F. Cannata, G. Junker, and J. Trost, Phys. Lett. A 246, 219 (1998) (quant-ph/9805085); X.-B. Wang, L. C. Kwek, and C. H. Oh, Phys. Lett. A 259, 7 (1999).
41. F. Haake, F. Izrailev, N. Lehmann, D. Saher, and H. J. Sommers, Z. Phys. B: Condens. Matter 88, 359 (1992); H. J. Sommers, A. Crisanti, H. Sompolinsky, and Y. Stein, Phys. Rev. Lett. 60, 1895 (1988); M. A. Stephanov, ibid. 76, 4472 (1996); M. A. Halasz, A. D Jackson, and J. J. M. Verbaarschot, Phys. Rev. D 56, 5140 (1997); M. A. Halasz, J. C. Osborn, and J. J. M. Verbaarschot, ibid. 56, 7059 (1997); M. A. Halasz, A. D. Jackson, R. E. Shrock, M. A. Stephanov, and J. J. M. Verbaarschot, ibid. 58, 096007 (1998) (hep-ph/9804290); T. Guhr and T. Wettig, Nucl. Phys. B 506, 589 (1997) (hep-th/9704055); H. Markum, R. Pullirsch, and T. Wettig, Phys. Rev. Lett. 83, 484 (1999) (hep-lat/9906020); R. A. Janik, M. A. Nowak, G. Papp, and I. Zahed, Phys. Rev. Lett. 77, 4876 (1996); E. Gudowska-Nowak, G. Papp, and J. Brickmann, preprint cond-mat/9701187; Y. V. Fyodorov, B. A. Khoruzhenko, and H.-J. Sommers, Phys. Rev. Lett. 79, 557 (1997); Phys. Lett. A 226, 46 (1997); Ann. Inst. H. Poincare, Sect. A 68, 449 (1998); H.-J. Sommers, Yan V. Fyodorov, and M. Titov, J. Phys. A 32, L77 (1999) (chao-dyn/9807015); B. A. Khoruzhenko, J. Phys. A 29, L165 (1996); N. Hatano and D. R. Nelson, Phys. Rev. Lett. 77, 570 (1997) (cond-mat/9603165); Phys. Rev. B 56, 8651 (1997) (cond-mat/9705290); Phys. Rev. B 58, 8384 (1998) (cond-mat/9805195); D. R. Nelson and N. M. Shnerb, cond-mat/9708071; Phys. Rev. Lett. 80, 5172 (1998) (cond-mat/9801111); R. A. Lehrer and D. R. Nelson, Phys. Rev. B 58, 12385 (1998) (cond-mat/9806016); K. A. Dahmen, D. R. Nelson, and N. M. Shnerb, cond-mat/9903276; K. B. Efetov, Phys. Rev. Lett. 79, 491 (1997); Phys. Rev. B 56, 9630 (1997); A. V. Kolesnikov and K. B. Efetov, Waves Random Media 9, 71 (1999); Phys. Rev. Lett. 84, 5600 (2000) (cond-mat/0001263); J. Feinberg and A. Zee, Phys. Rev. E 59, 6433 (1999) (cond-mat/9706218); Nucl. Phys. B 552, 599 (1999) (cond-mat/9710040); E. Brézin and A. Zee, Nucl. Phys. B 509, 599 (1998) (cond-mat/9708029); C. Mudry, P. Brouwer, B. Halperin, V. Gurarie, and A. Zee, Phys. Rev. B 58, 13539 (1998); P. W. Brouwer, ibid. 57, 10526 (1998) (cond-mat/9711113); P. W. Brouwer, C. Mudry, B. D. Simons, and A. Altland, Phys. Rev. Lett. 81, 862 (1998) (cond-mat/9807189); C. Mudry, B. D. Simons, and A. Altlanld, Phys. Rev. Lett. 80, 4257 (1998) (cond-mat/9712103); R. A. Janik, M. A. Nowak, G. Papp, and I. Zahed, Acta Phys. Pol. B 30, 45 (1999) (cond-mat/9705098); I. Y. Goldsheid and B. A. Khoruzhenko, Phys. Rev. Lett. 80, 2897 (1998) (cond-mat/9707230); I. V. Yurkevich and I. V. Lerner, Phys. Rev. Lett. 82, 5080 (1999); P. W. Brouwer, P. G. Silvestrov, and C. W. J. Beenakker, Phys. Rev. Lett. 56, 4333 (1997) (cond-mat/9705186); P. G. Silvestrov, Phys. Rev. B 58, 10111 (1998) (cond-mat/9802219); Phys. Rev. Lett. 82, 3140 (1999) (cond-mat/9804093); cond-mat/0008118; B. Derrida, J. L. Jacobsen, and R. Zeitak, J. Stat. Phys. 98, 31 (2000) (cond-mat/9906235); G. M. Cicuta, M. Contedini, and L. Molinari, cond-mat/9907014; L. Molinari, J. Phys. A 31, 8553 (1998); J. Miller and Z. J. Wang, Phys. Rev. Lett. 76, 1461 (1996); J. T. Chalker and Z. Jane Wang, ibid. 79, 1797 (1997); Phys. Rev. E 61, 196 (2000); V. G. Benza, cond-mat/0006029; G. C. Ferrario and V. G. Benza, J. Phys.: Condens. Matter 11, 7557 (1999) (cond-mat/9907011); A. V. Izyumov and B. D. Simons, Phys. Rev. Lett. 83, 4373 (1999) (cond-mat/9910163); Europhys. Lett. 45, 290 (1999) (cond-mat/9811260); A. V. Izyumov and K. V. Samokhin, J. Phys. A 32, 7843 (1999) (cond-mat/9909407); B. Mehlig and J. T. Chalker, J. Math. Phys. 41, 3233 (2000) (cond-mat/9906279); Phys. Rev. Lett. 81, 3367 (1998) (cond-mat/9809090); Ann. Phys. (Berlin) 7, 427 (1998); R. A. Janik, W. Noerenberg, M. A. Nowak, G. Papp, and I. Zahed, Phys. Rev. E 60, 2699 (1999) (cond-mat;9902314); S. Hikami and R. Pnini, J. Phys. A 31, L587 (1998) (cond-mat/9806254); A. Sedrakyan, Nucl. Phys. B 554, 554 (1999) (cond-mat/9806301); A. A. Andrianov, F. Cannata, J. P. Dedonder, and M. V. Ioffe, Int. J. Mod. Phys. A 14, 2675 (1999) (quant-ph/9806019); F. Cannata, G. Junker, and J. Trost, Phys. Lett. A 246, 219 (1998) (quant-ph/9805085); X.-B. Wang, L. C. Kwek, and C. H. Oh, Phys. Lett. A 259, 7 (1999).
42. F. Haake, F. Izrailev, N. Lehmann, D. Saher, and H. J. Sommers, Z. Phys. B: Condens. Matter 88, 359 (1992); H. J. Sommers, A. Crisanti, H. Sompolinsky, and Y. Stein, Phys. Rev. Lett. 60, 1895 (1988); M. A. Stephanov, ibid. 76, 4472 (1996); M. A. Halasz, A. D Jackson, and J. J. M. Verbaarschot, Phys. Rev. D 56, 5140 (1997); M. A. Halasz, J. C. Osborn, and J. J. M. Verbaarschot, ibid. 56, 7059 (1997); M. A. Halasz, A. D. Jackson, R. E. Shrock, M. A. Stephanov, and J. J. M. Verbaarschot, ibid. 58, 096007 (1998) (hep-ph/9804290); T. Guhr and T. Wettig, Nucl. Phys. B 506, 589 (1997) (hep-th/9704055); H. Markum, R. Pullirsch, and T. Wettig, Phys. Rev. Lett. 83, 484 (1999) (hep-lat/9906020); R. A. Janik, M. A. Nowak, G. Papp, and I. Zahed, Phys. Rev. Lett. 77, 4876 (1996); E. Gudowska-Nowak, G. Papp, and J. Brickmann, preprint cond-mat/9701187; Y. V. Fyodorov, B. A. Khoruzhenko, and H.-J. Sommers, Phys. Rev. Lett. 79, 557 (1997); Phys. Lett. A 226, 46 (1997); Ann. Inst. H. Poincare, Sect. A 68, 449 (1998); H.-J. Sommers, Yan V. Fyodorov, and M. Titov, J. Phys. A 32, L77 (1999) (chao-dyn/9807015); B. A. Khoruzhenko, J. Phys. A 29, L165 (1996); N. Hatano and D. R. Nelson, Phys. Rev. Lett. 77, 570 (1997) (cond-mat/9603165); Phys. Rev. B 56, 8651 (1997) (cond-mat/9705290); Phys. Rev. B 58, 8384 (1998) (cond-mat/9805195); D. R. Nelson and N. M. Shnerb, cond-mat/9708071; Phys. Rev. Lett. 80, 5172 (1998) (cond-mat/9801111); R. A. Lehrer and D. R. Nelson, Phys. Rev. B 58, 12385 (1998) (cond-mat/9806016); K. A. Dahmen, D. R. Nelson, and N. M. Shnerb, cond-mat/9903276; K. B. Efetov, Phys. Rev. Lett. 79, 491 (1997); Phys. Rev. B 56, 9630 (1997); A. V. Kolesnikov and K. B. Efetov, Waves Random Media 9, 71 (1999); Phys. Rev. Lett. 84, 5600 (2000) (cond-mat/0001263); J. Feinberg and A. Zee, Phys. Rev. E 59, 6433 (1999) (cond-mat/9706218); Nucl. Phys. B 552, 599 (1999) (cond-mat/9710040); E. Brézin and A. Zee, Nucl. Phys. B 509, 599 (1998) (cond-mat/9708029); C. Mudry, P. Brouwer, B. Halperin, V. Gurarie, and A. Zee, Phys. Rev. B 58, 13539 (1998); P. W. Brouwer, ibid. 57, 10526 (1998) (cond-mat/9711113); P. W. Brouwer, C. Mudry, B. D. Simons, and A. Altland, Phys. Rev. Lett. 81, 862 (1998) (cond-mat/9807189); C. Mudry, B. D. Simons, and A. Altlanld, Phys. Rev. Lett. 80, 4257 (1998) (cond-mat/9712103); R. A. Janik, M. A. Nowak, G. Papp, and I. Zahed, Acta Phys. Pol. B 30, 45 (1999) (cond-mat/9705098); I. Y. Goldsheid and B. A. Khoruzhenko, Phys. Rev. Lett. 80, 2897 (1998) (cond-mat/9707230); I. V. Yurkevich and I. V. Lerner, Phys. Rev. Lett. 82, 5080 (1999); P. W. Brouwer, P. G. Silvestrov, and C. W. J. Beenakker, Phys. Rev. Lett. 56, 4333 (1997) (cond-mat/9705186); P. G. Silvestrov, Phys. Rev. B 58, 10111 (1998) (cond-mat/9802219); Phys. Rev. Lett. 82, 3140 (1999) (cond-mat/9804093); cond-mat/0008118; B. Derrida, J. L. Jacobsen, and R. Zeitak, J. Stat. Phys. 98, 31 (2000) (cond-mat/9906235); G. M. Cicuta, M. Contedini, and L. Molinari, cond-mat/9907014; L. Molinari, J. Phys. A 31, 8553 (1998); J. Miller and Z. J. Wang, Phys. Rev. Lett. 76, 1461 (1996); J. T. Chalker and Z. Jane Wang, ibid. 79, 1797 (1997); Phys. Rev. E 61, 196 (2000); V. G. Benza, cond-mat/0006029; G. C. Ferrario and V. G. Benza, J. Phys.: Condens. Matter 11, 7557 (1999) (cond-mat/9907011); A. V. Izyumov and B. D. Simons, Phys. Rev. Lett. 83, 4373 (1999) (cond-mat/9910163); Europhys. Lett. 45, 290 (1999) (cond-mat/9811260); A. V. Izyumov and K. V. Samokhin, J. Phys. A 32, 7843 (1999) (cond-mat/9909407); B. Mehlig and J. T. Chalker, J. Math. Phys. 41, 3233 (2000) (cond-mat/9906279); Phys. Rev. Lett. 81, 3367 (1998) (cond-mat/9809090); Ann. Phys. (Berlin) 7, 427 (1998); R. A. Janik, W. Noerenberg, M. A. Nowak, G. Papp, and I. Zahed, Phys. Rev. E 60, 2699 (1999) (cond-mat;9902314); S. Hikami and R. Pnini, J. Phys. A 31, L587 (1998) (cond-mat/9806254); A. Sedrakyan, Nucl. Phys. B 554, 554 (1999) (cond-mat/9806301); A. A. Andrianov, F. Cannata, J. P. Dedonder, and M. V. Ioffe, Int. J. Mod. Phys. A 14, 2675 (1999) (quant-ph/9806019); F. Cannata, G. Junker, and J. Trost, Phys. Lett. A 246, 219 (1998) (quant-ph/9805085); X.-B. Wang, L. C. Kwek, and C. H. Oh, Phys. Lett. A 259, 7 (1999).
43. F. Haake, F. Izrailev, N. Lehmann, D. Saher, and H. J. Sommers, Z. Phys. B: Condens. Matter 88, 359 (1992); H. J. Sommers, A. Crisanti, H. Sompolinsky, and Y. Stein, Phys. Rev. Lett. 60, 1895 (1988); M. A. Stephanov, ibid. 76, 4472 (1996); M. A. Halasz, A. D Jackson, and J. J. M. Verbaarschot, Phys. Rev. D 56, 5140 (1997); M. A. Halasz, J. C. Osborn, and J. J. M. Verbaarschot, ibid. 56, 7059 (1997); M. A. Halasz, A. D. Jackson, R. E. Shrock, M. A. Stephanov, and J. J. M. Verbaarschot, ibid. 58, 096007 (1998) (hep-ph/9804290); T. Guhr and T. Wettig, Nucl. Phys. B 506, 589 (1997) (hep-th/9704055); H. Markum, R. Pullirsch, and T. Wettig, Phys. Rev. Lett. 83, 484 (1999) (hep-lat/9906020); R. A. Janik, M. A. Nowak, G. Papp, and I. Zahed, Phys. Rev. Lett. 77, 4876 (1996); E. Gudowska-Nowak, G. Papp, and J. Brickmann, preprint cond-mat/9701187; Y. V. Fyodorov, B. A. Khoruzhenko, and H.-J. Sommers, Phys. Rev. Lett. 79, 557 (1997); Phys. Lett. A 226, 46 (1997); Ann. Inst. H. Poincare, Sect. A 68, 449 (1998); H.-J. Sommers, Yan V. Fyodorov, and M. Titov, J. Phys. A 32, L77 (1999) (chao-dyn/9807015); B. A. Khoruzhenko, J. Phys. A 29, L165 (1996); N. Hatano and D. R. Nelson, Phys. Rev. Lett. 77, 570 (1997) (cond-mat/9603165); Phys. Rev. B 56, 8651 (1997) (cond-mat/9705290); Phys. Rev. B 58, 8384 (1998) (cond-mat/9805195); D. R. Nelson and N. M. Shnerb, cond-mat/9708071; Phys. Rev. Lett. 80, 5172 (1998) (cond-mat/9801111); R. A. Lehrer and D. R. Nelson, Phys. Rev. B 58, 12385 (1998) (cond-mat/9806016); K. A. Dahmen, D. R. Nelson, and N. M. Shnerb, cond-mat/9903276; K. B. Efetov, Phys. Rev. Lett. 79, 491 (1997); Phys. Rev. B 56, 9630 (1997); A. V. Kolesnikov and K. B. Efetov, Waves Random Media 9, 71 (1999); Phys. Rev. Lett. 84, 5600 (2000) (cond-mat/0001263); J. Feinberg and A. Zee, Phys. Rev. E 59, 6433 (1999) (cond-mat/9706218); Nucl. Phys. B 552, 599 (1999) (cond-mat/9710040); E. Brézin and A. Zee, Nucl. Phys. B 509, 599 (1998) (cond-mat/9708029); C. Mudry, P. Brouwer, B. Halperin, V. Gurarie, and A. Zee, Phys. Rev. B 58, 13539 (1998); P. W. Brouwer, ibid. 57, 10526 (1998) (cond-mat/9711113); P. W. Brouwer, C. Mudry, B. D. Simons, and A. Altland, Phys. Rev. Lett. 81, 862 (1998) (cond-mat/9807189); C. Mudry, B. D. Simons, and A. Altlanld, Phys. Rev. Lett. 80, 4257 (1998) (cond-mat/9712103); R. A. Janik, M. A. Nowak, G. Papp, and I. Zahed, Acta Phys. Pol. B 30, 45 (1999) (cond-mat/9705098); I. Y. Goldsheid and B. A. Khoruzhenko, Phys. Rev. Lett. 80, 2897 (1998) (cond-mat/9707230); I. V. Yurkevich and I. V. Lerner, Phys. Rev. Lett. 82, 5080 (1999); P. W. Brouwer, P. G. Silvestrov, and C. W. J. Beenakker, Phys. Rev. Lett. 56, 4333 (1997) (cond-mat/9705186); P. G. Silvestrov, Phys. Rev. B 58, 10111 (1998) (cond-mat/9802219); Phys. Rev. Lett. 82, 3140 (1999) (cond-mat/9804093); cond-mat/0008118; B. Derrida, J. L. Jacobsen, and R. Zeitak, J. Stat. Phys. 98, 31 (2000) (cond-mat/9906235); G. M. Cicuta, M. Contedini, and L. Molinari, cond-mat/9907014; L. Molinari, J. Phys. A 31, 8553 (1998); J. Miller and Z. J. Wang, Phys. Rev. Lett. 76, 1461 (1996); J. T. Chalker and Z. Jane Wang, ibid. 79, 1797 (1997); Phys. Rev. E 61, 196 (2000); V. G. Benza, cond-mat/0006029; G. C. Ferrario and V. G. Benza, J. Phys.: Condens. Matter 11, 7557 (1999) (cond-mat/9907011); A. V. Izyumov and B. D. Simons, Phys. Rev. Lett. 83, 4373 (1999) (cond-mat/9910163); Europhys. Lett. 45, 290 (1999) (cond-mat/9811260); A. V. Izyumov and K. V. Samokhin, J. Phys. A 32, 7843 (1999) (cond-mat/9909407); B. Mehlig and J. T. Chalker, J. Math. Phys. 41, 3233 (2000) (cond-mat/9906279); Phys. Rev. Lett. 81, 3367 (1998) (cond-mat/9809090); Ann. Phys. (Berlin) 7, 427 (1998); R. A. Janik, W. Noerenberg, M. A. Nowak, G. Papp, and I. Zahed, Phys. Rev. E 60, 2699 (1999) (cond-mat;9902314); S. Hikami and R. Pnini, J. Phys. A 31, L587 (1998) (cond-mat/9806254); A. Sedrakyan, Nucl. Phys. B 554, 554 (1999) (cond-mat/9806301); A. A. Andrianov, F. Cannata, J. P. Dedonder, and M. V. Ioffe, Int. J. Mod. Phys. A 14, 2675 (1999) (quant-ph/9806019); F. Cannata, G. Junker, and J. Trost, Phys. Lett. A 246, 219 (1998) (quant-ph/9805085); X.-B. Wang, L. C. Kwek, and C. H. Oh, Phys. Lett. A 259, 7 (1999).
44. F. Haake, F. Izrailev, N. Lehmann, D. Saher, and H. J. Sommers, Z. Phys. B: Condens. Matter 88, 359 (1992); H. J. Sommers, A. Crisanti, H. Sompolinsky, and Y. Stein, Phys. Rev. Lett. 60, 1895 (1988); M. A. Stephanov, ibid. 76, 4472 (1996); M. A. Halasz, A. D Jackson, and J. J. M. Verbaarschot, Phys. Rev. D 56, 5140 (1997); M. A. Halasz, J. C. Osborn, and J. J. M. Verbaarschot, ibid. 56, 7059 (1997); M. A. Halasz, A. D. Jackson, R. E. Shrock, M. A. Stephanov, and J. J. M. Verbaarschot, ibid. 58, 096007 (1998) (hep-ph/9804290); T. Guhr and T. Wettig, Nucl. Phys. B 506, 589 (1997) (hep-th/9704055); H. Markum, R. Pullirsch, and T. Wettig, Phys. Rev. Lett. 83, 484 (1999) (hep-lat/9906020); R. A. Janik, M. A. Nowak, G. Papp, and I. Zahed, Phys. Rev. Lett. 77, 4876 (1996); E. Gudowska-Nowak, G. Papp, and J. Brickmann, preprint cond-mat/9701187; Y. V. Fyodorov, B. A. Khoruzhenko, and H.-J. Sommers, Phys. Rev. Lett. 79, 557 (1997); Phys. Lett. A 226, 46 (1997); Ann. Inst. H. Poincare, Sect. A 68, 449 (1998); H.-J. Sommers, Yan V. Fyodorov, and M. Titov, J. Phys. A 32, L77 (1999) (chao-dyn/9807015); B. A. Khoruzhenko, J. Phys. A 29, L165 (1996); N. Hatano and D. R. Nelson, Phys. Rev. Lett. 77, 570 (1997) (cond-mat/9603165); Phys. Rev. B 56, 8651 (1997) (cond-mat/9705290); Phys. Rev. B 58, 8384 (1998) (cond-mat/9805195); D. R. Nelson and N. M. Shnerb, cond-mat/9708071; Phys. Rev. Lett. 80, 5172 (1998) (cond-mat/9801111); R. A. Lehrer and D. R. Nelson, Phys. Rev. B 58, 12385 (1998) (cond-mat/9806016); K. A. Dahmen, D. R. Nelson, and N. M. Shnerb, cond-mat/9903276; K. B. Efetov, Phys. Rev. Lett. 79, 491 (1997); Phys. Rev. B 56, 9630 (1997); A. V. Kolesnikov and K. B. Efetov, Waves Random Media 9, 71 (1999); Phys. Rev. Lett. 84, 5600 (2000) (cond-mat/0001263); J. Feinberg and A. Zee, Phys. Rev. E 59, 6433 (1999) (cond-mat/9706218); Nucl. Phys. B 552, 599 (1999) (cond-mat/9710040); E. Brézin and A. Zee, Nucl. Phys. B 509, 599 (1998) (cond-mat/9708029); C. Mudry, P. Brouwer, B. Halperin, V. Gurarie, and A. Zee, Phys. Rev. B 58, 13539 (1998); P. W. Brouwer, ibid. 57, 10526 (1998) (cond-mat/9711113); P. W. Brouwer, C. Mudry, B. D. Simons, and A. Altland, Phys. Rev. Lett. 81, 862 (1998) (cond-mat/9807189); C. Mudry, B. D. Simons, and A. Altlanld, Phys. Rev. Lett. 80, 4257 (1998) (cond-mat/9712103); R. A. Janik, M. A. Nowak, G. Papp, and I. Zahed, Acta Phys. Pol. B 30, 45 (1999) (cond-mat/9705098); I. Y. Goldsheid and B. A. Khoruzhenko, Phys. Rev. Lett. 80, 2897 (1998) (cond-mat/9707230); I. V. Yurkevich and I. V. Lerner, Phys. Rev. Lett. 82, 5080 (1999); P. W. Brouwer, P. G. Silvestrov, and C. W. J. Beenakker, Phys. Rev. Lett. 56, 4333 (1997) (cond-mat/9705186); P. G. Silvestrov, Phys. Rev. B 58, 10111 (1998) (cond-mat/9802219); Phys. Rev. Lett. 82, 3140 (1999) (cond-mat/9804093); cond-mat/0008118; B. Derrida, J. L. Jacobsen, and R. Zeitak, J. Stat. Phys. 98, 31 (2000) (cond-mat/9906235); G. M. Cicuta, M. Contedini, and L. Molinari, cond-mat/9907014; L. Molinari, J. Phys. A 31, 8553 (1998); J. Miller and Z. J. Wang, Phys. Rev. Lett. 76, 1461 (1996); J. T. Chalker and Z. Jane Wang, ibid. 79, 1797 (1997); Phys. Rev. E 61, 196 (2000); V. G. Benza, cond-mat/0006029; G. C. Ferrario and V. G. Benza, J. Phys.: Condens. Matter 11, 7557 (1999) (cond-mat/9907011); A. V. Izyumov and B. D. Simons, Phys. Rev. Lett. 83, 4373 (1999) (cond-mat/9910163); Europhys. Lett. 45, 290 (1999) (cond-mat/9811260); A. V. Izyumov and K. V. Samokhin, J. Phys. A 32, 7843 (1999) (cond-mat/9909407); B. Mehlig and J. T. Chalker, J. Math. Phys. 41, 3233 (2000) (cond-mat/9906279); Phys. Rev. Lett. 81, 3367 (1998) (cond-mat/9809090); Ann. Phys. (Berlin) 7, 427 (1998); R. A. Janik, W. Noerenberg, M. A. Nowak, G. Papp, and I. Zahed, Phys. Rev. E 60, 2699 (1999) (cond-mat;9902314); S. Hikami and R. Pnini, J. Phys. A 31, L587 (1998) (cond-mat/9806254); A. Sedrakyan, Nucl. Phys. B 554, 554 (1999) (cond-mat/9806301); A. A. Andrianov, F. Cannata, J. P. Dedonder, and M. V. Ioffe, Int. J. Mod. Phys. A 14, 2675 (1999) (quant-ph/9806019); F. Cannata, G. Junker, and J. Trost, Phys. Lett. A 246, 219 (1998) (quant-ph/9805085); X.-B. Wang, L. C. Kwek, and C. H. Oh, Phys. Lett. A 259, 7 (1999).
45. F. Haake, F. Izrailev, N. Lehmann, D. Saher, and H. J. Sommers, Z. Phys. B: Condens. Matter 88, 359 (1992); H. J. Sommers, A. Crisanti, H. Sompolinsky, and Y. Stein, Phys. Rev. Lett. 60, 1895 (1988); M. A. Stephanov, ibid. 76, 4472 (1996); M. A. Halasz, A. D Jackson, and J. J. M. Verbaarschot, Phys. Rev. D 56, 5140 (1997); M. A. Halasz, J. C. Osborn, and J. J. M. Verbaarschot, ibid. 56, 7059 (1997); M. A. Halasz, A. D. Jackson, R. E. Shrock, M. A. Stephanov, and J. J. M. Verbaarschot, ibid. 58, 096007 (1998) (hep-ph/9804290); T. Guhr and T. Wettig, Nucl. Phys. B 506, 589 (1997) (hep-th/9704055); H. Markum, R. Pullirsch, and T. Wettig, Phys. Rev. Lett. 83, 484 (1999) (hep-lat/9906020); R. A. Janik, M. A. Nowak, G. Papp, and I. Zahed, Phys. Rev. Lett. 77, 4876 (1996); E. Gudowska-Nowak, G. Papp, and J. Brickmann, preprint cond-mat/9701187; Y. V. Fyodorov, B. A. Khoruzhenko, and H.-J. Sommers, Phys. Rev. Lett. 79, 557 (1997); Phys. Lett. A 226, 46 (1997); Ann. Inst. H. Poincare, Sect. A 68, 449 (1998); H.-J. Sommers, Yan V. Fyodorov, and M. Titov, J. Phys. A 32, L77 (1999) (chao-dyn/9807015); B. A. Khoruzhenko, J. Phys. A 29, L165 (1996); N. Hatano and D. R. Nelson, Phys. Rev. Lett. 77, 570 (1997) (cond-mat/9603165); Phys. Rev. B 56, 8651 (1997) (cond-mat/9705290); Phys. Rev. B 58, 8384 (1998) (cond-mat/9805195); D. R. Nelson and N. M. Shnerb, cond-mat/9708071; Phys. Rev.
46. F. Haake, F. Izrailev, N. Lehmann, D. Saher, and H. J. Sommers, Z. Phys. B: Condens. Matter 88, 359 (1992); H. J. Sommers, A. Crisanti, H. Sompolinsky, and Y. Stein, Phys. Rev. Lett. 60, 1895 (1988); M. A. Stephanov, ibid. 76, 4472 (1996); M. A. Halasz, A. D Jackson, and J. J. M. Verbaarschot, Phys. Rev. D 56, 5140 (1997); M. A. Halasz, J. C. Osborn, and J. J. M. Verbaarschot, ibid. 56, 7059 (1997); M. A. Halasz, A. D. Jackson, R. E. Shrock, M. A. Stephanov, and J. J. M. Verbaarschot, ibid. 58, 096007 (1998) (hep-ph/9804290); T. Guhr and T. Wettig, Nucl. Phys. B 506, 589 (1997) (hep-th/9704055); H. Markum, R. Pullirsch, and T. Wettig, Phys. Rev. Lett. 83, 484 (1999) (hep-lat/9906020); R. A. Janik, M. A. Nowak, G. Papp, and I. Zahed, Phys. Rev. Lett. 77, 4876 (1996); E. Gudowska-Nowak, G. Papp, and J. Brickmann, preprint cond-mat/9701187; Y. V. Fyodorov, B. A. Khoruzhenko, and H.-J. Sommers, Phys. Rev. Lett. 79, 557 (1997); Phys. Lett. A 226, 46 (1997); Ann. Inst. H. Poincare, Sect. A 68, 449 (1998); H.-J. Sommers, Yan V. Fyodorov, and M. Titov, J. Phys. A 32, L77 (1999) (chao-dyn/9807015); B. A. Khoruzhenko, J. Phys. A 29, L165 (1996); N. Hatano and D. R. Nelson, Phys. Rev. Lett. 77, 570 (1997) (cond-mat/9603165); Phys. Rev. B 56, 8651 (1997) (cond-mat/9705290); Phys. Rev. B 58, 8384 (1998) (cond-mat/9805195); D. R. Nelson and N. M. Shnerb, cond-mat/9708071; Phys. Rev. Lett. 80, 5172 (1998) (cond-mat/9801111); R. A. Lehrer and D. R. Nelson, Phys. Rev. B 58, 12385 (1998) (cond-mat/9806016); K. A. Dahmen, D. R. Nelson, and N. M. Shnerb, cond-mat/9903276; K. B. Efetov, Phys. Rev. Lett. 79, 491 (1997); Phys. Rev. B 56, 9630 (1997); A. V. Kolesnikov and K. B. Efetov, Waves Random Media 9, 71 (1999); Phys. Rev. Lett. 84, 5600 (2000) (cond-mat/0001263); J. Feinberg and A. Zee, Phys. Rev. E 59, 6433 (1999) (cond-mat/9706218); Nucl. Phys. B 552, 599 (1999) (cond-mat/9710040); E. Brézin and A. Zee, Nucl. Phys. B 509, 599 (1998) (cond-mat/9708029); C. Mudry, P. Brouwer, B. Halperin, V. Gurarie, and A. Zee, Phys. Rev. B 58, 13539 (1998); P. W. Brouwer, ibid. 57, 10526 (1998) (cond-mat/9711113); P. W. Brouwer, C. Mudry, B. D. Simons, and A. Altland, Phys. Rev. Lett. 81, 862 (1998) (cond-mat/9807189); C. Mudry, B. D. Simons, and A. Altlanld, Phys. Rev. Lett. 80, 4257 (1998) (cond-mat/9712103); R. A. Janik, M. A. Nowak, G. Papp, and I. Zahed, Acta Phys. Pol. B 30, 45 (1999) (cond-mat/9705098); I. Y. Goldsheid and B. A. Khoruzhenko, Phys. Rev. Lett. 80, 2897 (1998) (cond-mat/9707230); I. V. Yurkevich and I. V. Lerner, Phys. Rev. Lett. 82, 5080 (1999); P. W. Brouwer, P. G. Silvestrov, and C. W. J. Beenakker, Phys. Rev. Lett. 56, 4333 (1997) (cond-mat/9705186); P. G. Silvestrov, Phys. Rev. B 58, 10111 (1998) (cond-mat/9802219); Phys. Rev. Lett. 82, 3140 (1999) (cond-mat/9804093); cond-mat/0008118; B. Derrida, J. L. Jacobsen, and R. Zeitak, J. Stat. Phys. 98, 31 (2000) (cond-mat/9906235); G. M. Cicuta, M. Contedini, and L. Molinari, cond-mat/9907014; L. Molinari, J. Phys. A 31, 8553 (1998); J. Miller and Z. J. Wang, Phys. Rev. Lett. 76, 1461 (1996); J. T. Chalker and Z. Jane Wang, ibid. 79, 1797 (1997); Phys. Rev. E 61, 196 (2000); V. G. Benza, cond-mat/0006029; G. C. Ferrario and V. G. Benza, J. Phys.: Condens. Matter 11, 7557 (1999) (cond-mat/9907011); A. V. Izyumov and B. D. Simons, Phys. Rev. Lett. 83, 4373 (1999) (cond-mat/9910163); Europhys. Lett. 45, 290 (1999) (cond-mat/9811260); A. V. Izyumov and K. V. Samokhin, J. Phys. A 32, 7843 (1999) (cond-mat/9909407); B. Mehlig and J. T. Chalker, J. Math. Phys. 41, 3233 (2000) (cond-mat/9906279); Phys. Rev. Lett. 81, 3367 (1998) (cond-mat/9809090); Ann. Phys. (Berlin) 7, 427 (1998); R. A. Janik, W. Noerenberg, M. A. Nowak, G. Papp, and I. Zahed, Phys. Rev. E 60, 2699 (1999) (cond-mat;9902314); S. Hikami and R. Pnini, J. Phys. A 31, L587 (1998) (cond-mat/9806254); A. Sedrakyan, Nucl. Phys. B 554, 554 (1999) (cond-mat/9806301); A. A. Andrianov, F. Cannata, J. P. Dedonder, and M. V. Ioffe, Int. J. Mod. Phys. A 14, 2675 (1999) (quant-ph/9806019); F. Cannata, G. Junker, and J. Trost, Phys. Lett. A 246, 219 (1998) (quant-ph/9805085); X.-B. Wang, L. C. Kwek, and C. H. Oh, Phys. Lett. A 259, 7 (1999).
47. F. Haake, F. Izrailev, N. Lehmann, D. Saher, and H. J. Sommers, Z. Phys. B: Condens. Matter 88, 359 (1992); H. J. Sommers, A. Crisanti, H. Sompolinsky, and Y. Stein, Phys. Rev. Lett. 60, 1895 (1988); M. A. Stephanov, ibid. 76, 4472 (1996); M. A. Halasz, A. D Jackson, and J. J. M. Verbaarschot, Phys. Rev. D 56, 5140 (1997); M. A. Halasz, J. C. Osborn, and J. J. M. Verbaarschot, ibid. 56, 7059 (1997); M. A. Halasz, A. D. Jackson, R. E. Shrock, M. A. Stephanov, and J. J. M. Verbaarschot, ibid. 58, 096007 (1998) (hep-ph/9804290); T. Guhr and T. Wettig, Nucl. Phys. B 506, 589 (1997) (hep-th/9704055); H. Markum, R. Pullirsch, and T. Wettig, Phys. Rev. Lett. 83, 484 (1999) (hep-lat/9906020); R. A. Janik, M. A. Nowak, G. Papp, and I. Zahed, Phys. Rev. Lett. 77, 4876 (1996); E. Gudowska-Nowak, G. Papp, and J. Brickmann, preprint cond-mat/9701187; Y. V. Fyodorov, B. A. Khoruzhenko, and H.-J. Sommers, Phys. Rev. Lett. 79, 557 (1997); Phys. Lett. A 226, 46 (1997); Ann. Inst. H. Poincare, Sect. A 68, 449 (1998); H.-J. Sommers, Yan V. Fyodorov, and M. Titov, J. Phys. A 32, L77 (1999) (chao-dyn/9807015); B. A. Khoruzhenko, J. Phys. A 29, L165 (1996); N. Hatano and D. R. Nelson, Phys. Rev. Lett. 77, 570 (1997) (cond-mat/9603165); Phys. Rev. B 56, 8651 (1997) (cond-mat/9705290); Phys. Rev. B 58, 8384 (1998) (cond-mat/9805195); D. R. Nelson and N. M. Shnerb, cond-mat/9708071; Phys. Rev. Lett. 80, 5172 (1998) (cond-mat/9801111); R. A. Lehrer and D. R. Nelson, Phys. Rev. B 58, 12385 (1998) (cond-mat/9806016); K. A. Dahmen, D. R. Nelson, and N. M. Shnerb, cond-mat/9903276; K. B. Efetov, Phys. Rev. Lett. 79, 491 (1997); Phys. Rev. B 56, 9630 (1997); A. V. Kolesnikov and K. B. Efetov, Waves Random Media 9, 71 (1999); Phys. Rev. Lett. 84, 5600 (2000) (cond-mat/0001263); J. Feinberg and A. Zee, Phys. Rev. E 59, 6433 (1999) (cond-mat/9706218); Nucl. Phys. B 552, 599 (1999) (cond-mat/9710040); E. Brézin and A. Zee, Nucl. Phys. B 509, 599 (1998) (cond-mat/9708029); C. Mudry, P. Brouwer, B. Halperin, V. Gurarie, and A. Zee, Phys. Rev. B 58, 13539 (1998); P. W. Brouwer, ibid. 57, 10526 (1998) (cond-mat/9711113); P. W. Brouwer, C. Mudry, B. D. Simons, and A. Altland, Phys. Rev. Lett. 81, 862 (1998) (cond-mat/9807189); C. Mudry, B. D. Simons, and A. Altlanld, Phys. Rev. Lett. 80, 4257 (1998) (cond-mat/9712103); R. A. Janik, M. A. Nowak, G. Papp, and I. Zahed, Acta Phys. Pol. B 30, 45 (1999) (cond-mat/9705098); I. Y. Goldsheid and B. A. Khoruzhenko, Phys. Rev. Lett. 80, 2897 (1998) (cond-mat/9707230); I. V. Yurkevich and I. V. Lerner, Phys. Rev. Lett. 82, 5080 (1999); P. W. Brouwer, P. G. Silvestrov, and C. W. J. Beenakker, Phys. Rev. Lett. 56, 4333 (1997) (cond-mat/9705186); P. G. Silvestrov, Phys. Rev. B 58, 10111 (1998) (cond-mat/9802219); Phys. Rev. Lett. 82, 3140 (1999) (cond-mat/9804093); cond-mat/0008118; B. Derrida, J. L. Jacobsen, and R. Zeitak, J. Stat. Phys. 98, 31 (2000) (cond-mat/9906235); G. M. Cicuta, M. Contedini, and L. Molinari, cond-mat/9907014; L. Molinari, J. Phys. A 31, 8553 (1998); J. Miller and Z. J. Wang, Phys. Rev. Lett. 76, 1461 (1996); J. T. Chalker and Z. Jane Wang, ibid. 79, 1797 (1997); Phys. Rev. E 61, 196 (2000); V. G. Benza, cond-mat/0006029; G. C. Ferrario and V. G. Benza, J. Phys.: Condens. Matter 11, 7557 (1999) (cond-mat/9907011); A. V. Izyumov and B. D. Simons, Phys. Rev. Lett. 83, 4373 (1999) (cond-mat/9910163); Europhys. Lett. 45, 290 (1999) (cond-mat/9811260); A. V. Izyumov and K. V. Samokhin, J. Phys. A 32, 7843 (1999) (cond-mat/9909407); B. Mehlig and J. T. Chalker, J. Math. Phys. 41, 3233 (2000) (cond-mat/9906279); Phys. Rev. Lett. 81, 3367 (1998) (cond-mat/9809090); Ann. Phys. (Berlin) 7, 427 (1998); R. A. Janik, W. Noerenberg, M. A. Nowak, G. Papp, and I. Zahed, Phys. Rev. E 60, 2699 (1999) (cond-mat;9902314); S. Hikami and R. Pnini, J. Phys. A 31, L587 (1998) (cond-mat/9806254); A. Sedrakyan, Nucl. Phys. B 554, 554 (1999) (cond-mat/9806301); A. A. Andrianov, F. Cannata, J. P. Dedonder, and M. V. Ioffe, Int. J. Mod. Phys. A 14, 2675 (1999) (quant-ph/9806019); F. Cannata, G. Junker, and J. Trost, Phys. Lett. A 246, 219 (1998) (quant-ph/9805085); X.-B. Wang, L. C. Kwek, and C. H. Oh, Phys. Lett. A 259, 7 (1999).
48. F. Haake, F. Izrailev, N. Lehmann, D. Saher, and H. J. Sommers, Z. Phys. B: Condens. Matter 88, 359 (1992); H. J. Sommers, A. Crisanti, H. Sompolinsky, and Y. Stein, Phys. Rev. Lett. 60, 1895 (1988); M. A. Stephanov, ibid. 76, 4472 (1996); M. A. Halasz, A. D Jackson, and J. J. M. Verbaarschot, Phys. Rev. D 56, 5140 (1997); M. A. Halasz, J. C. Osborn, and J. J. M. Verbaarschot, ibid. 56, 7059 (1997); M. A. Halasz, A. D. Jackson, R. E. Shrock, M. A. Stephanov, and J. J. M. Verbaarschot, ibid. 58, 096007 (1998) (hep-ph/9804290); T. Guhr and T. Wettig, Nucl. Phys. B 506, 589 (1997) (hep-th/9704055); H. Markum, R. Pullirsch, and T. Wettig, Phys. Rev. Lett. 83, 484 (1999) (hep-lat/9906020); R. A. Janik, M. A. Nowak, G. Papp, and I. Zahed, Phys. Rev. Lett. 77, 4876 (1996); E. Gudowska-Nowak, G. Papp, and J. Brickmann, preprint cond-mat/9701187; Y. V. Fyodorov, B. A. Khoruzhenko, and H.-J. Sommers, Phys. Rev. Lett. 79, 557 (1997); Phys. Lett. A 226, 46 (1997); Ann. Inst. H. Poincare, Sect. A 68, 449 (1998); H.-J. Sommers, Yan V. Fyodorov, and M. Titov, J. Phys. A 32, L77 (1999) (chao-dyn/9807015); B. A. Khoruzhenko, J. Phys. A 29, L165 (1996); N. Hatano and D. R. Nelson, Phys. Rev. Lett. 77, 570 (1997) (cond-mat/9603165); Phys. Rev. B 56, 8651 (1997) (cond-mat/9705290); Phys. Rev. B 58, 8384 (1998) (cond-mat/9805195); D. R. Nelson and N. M. Shnerb, cond-mat/9708071; Phys. Rev. Lett. 80, 5172 (1998) (cond-mat/9801111); R. A. Lehrer and D. R. Nelson, Phys. Rev. B 58, 12385 (1998) (cond-mat/9806016); K. A. Dahmen, D. R. Nelson, and N. M. Shnerb, cond-mat/9903276; K. B. Efetov, Phys. Rev. Lett. 79, 491 (1997); Phys. Rev. B 56, 9630 (1997); A. V. Kolesnikov and K. B. Efetov, Waves Random Media 9, 71 (1999); Phys. Rev. Lett. 84, 5600 (2000) (cond-mat/0001263); J. Feinberg and A. Zee, Phys. Rev. E 59, 6433 (1999) (cond-mat/9706218); Nucl. Phys. B 552, 599 (1999) (cond-mat/9710040); E. Brézin and A. Zee, Nucl. Phys. B 509, 599 (1998) (cond-mat/9708029); C. Mudry, P. Brouwer, B. Halperin, V. Gurarie, and A. Zee, Phys. Rev. B 58, 13539 (1998); P. W. Brouwer, ibid. 57, 10526 (1998) (cond-mat/9711113); P. W. Brouwer, C. Mudry, B. D. Simons, and A. Altland, Phys. Rev. Lett. 81, 862 (1998) (cond-mat/9807189); C. Mudry, B. D. Simons, and A. Altlanld, Phys. Rev. Lett. 80, 4257 (1998) (cond-mat/9712103); R. A. Janik, M. A. Nowak, G. Papp, and I. Zahed, Acta Phys. Pol. B 30, 45 (1999) (cond-mat/9705098); I. Y. Goldsheid and B. A. Khoruzhenko, Phys. Rev. Lett. 80, 2897 (1998) (cond-mat/9707230); I. V. Yurkevich and I. V. Lerner, Phys. Rev. Lett. 82, 5080 (1999); P. W. Brouwer, P. G. Silvestrov, and C. W. J. Beenakker, Phys. Rev. Lett. 56, 4333 (1997) (cond-mat/9705186); P. G. Silvestrov, Phys. Rev. B 58, 10111 (1998) (cond-mat/9802219); Phys. Rev. Lett. 82, 3140 (1999) (cond-mat/9804093); cond-mat/0008118; B. Derrida, J. L. Jacobsen, and R. Zeitak, J. Stat. Phys. 98, 31 (2000) (cond-mat/9906235); G. M. Cicuta, M. Contedini, and L. Molinari, cond-mat/9907014; L. Molinari, J. Phys. A 31, 8553 (1998); J. Miller and Z. J. Wang, Phys. Rev. Lett. 76, 1461 (1996); J. T. Chalker and Z. Jane Wang, ibid. 79, 1797 (1997); Phys. Rev. E 61, 196 (2000); V. G. Benza, cond-mat/0006029; G. C. Ferrario and V. G. Benza, J. Phys.: Condens. Matter 11, 7557 (1999) (cond-mat/9907011); A. V. Izyumov and B. D. Simons, Phys. Rev. Lett. 83, 4373 (1999) (cond-mat/9910163); Europhys. Lett. 45, 290 (1999) (cond-mat/9811260); A. V. Izyumov and K. V. Samokhin, J. Phys. A 32, 7843 (1999) (cond-mat/9909407); B. Mehlig and J. T. Chalker, J. Math. Phys. 41, 3233 (2000) (cond-mat/9906279); Phys. Rev. Lett. 81, 3367 (1998) (cond-mat/9809090); Ann. Phys. (Berlin) 7, 427 (1998); R. A. Janik, W. Noerenberg, M. A. Nowak, G. Papp, and I. Zahed, Phys. Rev. E 60, 2699 (1999) (cond-mat;9902314); S. Hikami and R. Pnini, J. Phys. A 31, L587 (1998) (cond-mat/9806254); A. Sedrakyan, Nucl. Phys. B 554, 554 (1999) (cond-mat/9806301); A. A. Andrianov, F. Cannata, J. P. Dedonder, and M. V. Ioffe, Int. J. Mod. Phys. A 14, 2675 (1999) (quant-ph/9806019); F. Cannata, G. Junker, and J. Trost, Phys. Lett. A 246, 219 (1998) (quant-ph/9805085); X.-B. Wang, L. C. Kwek, and C. H. Oh, Phys. Lett. A 259, 7 (1999).
49. F. Haake, F. Izrailev, N. Lehmann, D. Saher, and H. J. Sommers, Z. Phys. B: Condens. Matter 88, 359 (1992); H. J. Sommers, A. Crisanti, H. Sompolinsky, and Y. Stein, Phys. Rev. Lett. 60, 1895 (1988); M. A. Stephanov, ibid. 76, 4472 (1996); M. A. Halasz, A. D Jackson, and J. J. M. Verbaarschot, Phys. Rev. D 56, 5140 (1997); M. A. Halasz, J. C. Osborn, and J. J. M. Verbaarschot, ibid. 56, 7059 (1997); M. A. Halasz, A. D. Jackson, R. E. Shrock, M. A. Stephanov, and J. J. M. Verbaarschot, ibid. 58, 096007 (1998) (hep-ph/9804290); T. Guhr and T. Wettig, Nucl. Phys. B 506, 589 (1997) (hep-th/9704055); H. Markum, R. Pullirsch, and T. Wettig, Phys. Rev. Lett. 83, 484 (1999) (hep-lat/9906020); R. A. Janik, M. A. Nowak, G. Papp, and I. Zahed, Phys. Rev. Lett. 77, 4876 (1996); E. Gudowska-Nowak, G. Papp, and J. Brickmann, preprint cond-mat/9701187; Y. V. Fyodorov, B. A. Khoruzhenko, and H.-J. Sommers, Phys. Rev. Lett. 79, 557 (1997); Phys. Lett. A 226, 46 (1997); Ann. Inst. H. Poincare, Sect. A 68, 449 (1998); H.-J. Sommers, Yan V. Fyodorov, and M. Titov, J. Phys. A 32, L77 (1999) (chao-dyn/9807015); B. A. Khoruzhenko, J. Phys. A 29, L165 (1996); N. Hatano and D. R. Nelson, Phys. Rev. Lett. 77, 570 (1997) (cond-mat/9603165); Phys. Rev. B 56, 8651 (1997) (cond-mat/9705290); Phys. Rev. B 58, 8384 (1998) (cond-mat/9805195); D. R. Nelson and N. M. Shnerb, cond-mat/9708071; Phys. Rev. Lett. 80, 5172 (1998) (cond-mat/9801111); R. A. Lehrer and D. R. Nelson, Phys. Rev. B 58, 12385 (1998) (cond-mat/9806016); K. A. Dahmen, D. R. Nelson, and N. M. Shnerb, cond-mat/9903276; K. B. Efetov, Phys. Rev. Lett. 79, 491 (1997); Phys. Rev. B 56, 9630 (1997); A. V. Kolesnikov and K. B. Efetov, Waves Random Media 9, 71 (1999); Phys. Rev. Lett. 84, 5600 (2000) (cond-mat/0001263); J. Feinberg and A. Zee, Phys. Rev. E 59, 6433 (1999) (cond-mat/9706218); Nucl. Phys. B 552, 599 (1999) (cond-mat/9710040); E. Brézin and A. Zee, Nucl. Phys. B 509, 599 (1998) (cond-mat/9708029); C. Mudry, P. Brouwer, B. Halperin, V. Gurarie, and A. Zee, Phys. Rev. B 58, 13539 (1998); P. W. Brouwer, ibid. 57, 10526 (1998) (cond-mat/9711113); P. W. Brouwer, C. Mudry, B. D. Simons, and A. Altland, Phys. Rev. Lett. 81, 862 (1998) (cond-mat/9807189); C. Mudry, B. D. Simons, and A. Altlanld, Phys. Rev. Lett. 80, 4257 (1998) (cond-mat/9712103); R. A. Janik, M. A. Nowak, G. Papp, and I. Zahed, Acta Phys. Pol. B 30, 45 (1999) (cond-mat/9705098); I. Y. Goldsheid and B. A. Khoruzhenko, Phys. Rev. Lett. 80, 2897 (1998) (cond-mat/9707230); I. V. Yurkevich and I. V. Lerner, Phys. Rev. Lett. 82, 5080 (1999); P. W. Brouwer, P. G. Silvestrov, and C. W. J. Beenakker, Phys. Rev. Lett. 56, 4333 (1997) (cond-mat/9705186); P. G. Silvestrov, Phys. Rev. B 58, 10111 (1998) (cond-mat/9802219); Phys. Rev. Lett. 82, 3140 (1999) (cond-mat/9804093); cond-mat/0008118; B. Derrida, J. L. Jacobsen, and R. Zeitak, J. Stat. Phys. 98, 31 (2000) (cond-mat/9906235); G. M. Cicuta, M. Contedini, and L. Molinari, cond-mat/9907014; L. Molinari, J. Phys. A 31, 8553 (1998); J. Miller and Z. J. Wang, Phys. Rev. Lett. 76, 1461 (1996); J. T. Chalker and Z. Jane Wang, ibid. 79, 1797 (1997); Phys. Rev. E 61, 196 (2000); V. G. Benza, cond-mat/0006029; G. C. Ferrario and V. G. Benza, J. Phys.: Condens. Matter 11, 7557 (1999) (cond-mat/9907011); A. V. Izyumov and B. D. Simons, Phys. Rev. Lett. 83, 4373 (1999) (cond-mat/9910163); Europhys. Lett. 45, 290 (1999) (cond-mat/9811260); A. V. Izyumov and K. V. Samokhin, J. Phys. A 32, 7843 (1999) (cond-mat/9909407); B. Mehlig and J. T. Chalker, J. Math. Phys. 41, 3233 (2000) (cond-mat/9906279); Phys. Rev. Lett. 81, 3367 (1998) (cond-mat/9809090); Ann. Phys. (Berlin) 7, 427 (1998); R. A. Janik, W. Noerenberg, M. A. Nowak, G. Papp, and I. Zahed, Phys. Rev. E 60, 2699 (1999) (cond-mat;9902314); S. Hikami and R. Pnini, J. Phys. A 31, L587 (1998) (cond-mat/9806254); A. Sedrakyan, Nucl. Phys. B 554, 554 (1999) (cond-mat/9806301); A. A. Andrianov, F. Cannata, J. P. Dedonder, and M. V. Ioffe, Int. J. Mod. Phys. A 14, 2675 (1999) (quant-ph/9806019); F. Cannata, G. Junker, and J. Trost, Phys. Lett. A 246, 219 (1998) (quant-ph/9805085); X.-B. Wang, L. C. Kwek, and C. H. Oh, Phys. Lett. A 259, 7 (1999).
50. F. Haake, F. Izrailev, N. Lehmann, D. Saher, and H. J. Sommers, Z. Phys. B: Condens. Matter 88, 359 (1992); H. J. Sommers, A. Crisanti, H. Sompolinsky, and Y. Stein, Phys. Rev. Lett. 60, 1895 (1988); M. A. Stephanov, ibid. 76, 4472 (1996); M. A. Halasz, A. D Jackson, and J. J. M. Verbaarschot, Phys. Rev. D 56, 5140 (1997); M. A. Halasz, J. C. Osborn, and J. J. M. Verbaarschot, ibid. 56, 7059 (1997); M. A. Halasz, A. D. Jackson, R. E. Shrock, M. A. Stephanov, and J. J. M. Verbaarschot, ibid. 58, 096007 (1998) (hep-ph/9804290); T. Guhr and T. Wettig, Nucl. Phys. B 506, 589 (1997) (hep-th/9704055); H. Markum, R. Pullirsch, and T. Wettig, Phys. Rev. Lett. 83, 484 (1999) (hep-lat/9906020); R. A. Janik, M. A. Nowak, G. Papp, and I. Zahed, Phys. Rev. Lett. 77, 4876 (1996); E. Gudowska-Nowak, G. Papp, and J. Brickmann, preprint cond-mat/9701187; Y. V. Fyodorov, B. A. Khoruzhenko, and H.-J. Sommers, Phys. Rev. Lett. 79, 557 (1997); Phys. Lett. A 226, 46 (1997); Ann. Inst. H. Poincare, Sect. A 68, 449 (1998); H.-J. Sommers, Yan V. Fyodorov, and M. Titov, J. Phys. A 32, L77 (1999) (chao-dyn/9807015); B. A. Khoruzhenko, J. Phys. A 29, L165 (1996); N. Hatano and D. R. Nelson, Phys. Rev. Lett. 77, 570 (1997) (cond-mat/9603165); Phys. Rev. B 56, 8651 (1997) (cond-mat/9705290); Phys. Rev. B 58, 8384 (1998) (cond-mat/9805195); D. R. Nelson and N. M. Shnerb, cond-mat/9708071; Phys. Rev. Lett. 80, 5172 (1998) (cond-mat/9801111); R. A. Lehrer and D. R. Nelson, Phys. Rev. B 58, 12385 (1998) (cond-mat/9806016); K. A. Dahmen, D. R. Nelson, and N. M. Shnerb, cond-mat/9903276; K. B. Efetov, Phys. Rev. Lett. 79, 491 (1997); Phys. Rev. B 56, 9630 (1997); A. V. Kolesnikov and K. B. Efetov, Waves Random Media 9, 71 (1999); Phys. Rev. Lett. 84, 5600 (2000) (cond-mat/0001263); J. Feinberg and A. Zee, Phys. Rev. E 59, 6433 (1999) (cond-mat/9706218); Nucl. Phys. B 552, 599 (1999) (cond-mat/9710040); E. Brézin and A. Zee, Nucl. Phys. B 509, 599 (1998) (cond-mat/9708029); C. Mudry, P. Brouwer, B. Halperin, V. Gurarie, and A. Zee, Phys. Rev. B 58, 13539 (1998); P. W. Brouwer, ibid. 57, 10526 (1998) (cond-mat/9711113); P. W. Brouwer, C. Mudry, B. D. Simons, and A. Altland, Phys. Rev. Lett. 81, 862 (1998) (cond-mat/9807189); C. Mudry, B. D. Simons, and A. Altlanld, Phys. Rev. Lett. 80, 4257 (1998) (cond-mat/9712103); R. A. Janik, M. A. Nowak, G. Papp, and I. Zahed, Acta Phys. Pol. B 30, 45 (1999) (cond-mat/9705098); I. Y. Goldsheid and B. A. Khoruzhenko, Phys. Rev. Lett. 80, 2897 (1998) (cond-mat/9707230); I. V. Yurkevich and I. V. Lerner, Phys. Rev. Lett. 82, 5080 (1999); P. W. Brouwer, P. G. Silvestrov, and C. W. J. Beenakker, Phys. Rev. Lett. 56, 4333 (1997) (cond-mat/9705186); P. G. Silvestrov, Phys. Rev. B 58, 10111 (1998) (cond-mat/9802219); Phys. Rev. Lett. 82, 3140 (1999) (cond-mat/9804093); cond-mat/0008118; B. Derrida, J. L. Jacobsen, and R. Zeitak, J. Stat. Phys. 98, 31 (2000) (cond-mat/9906235); G. M. Cicuta, M. Contedini, and L. Molinari, cond-mat/9907014; L. Molinari, J. Phys. A 31, 8553 (1998); J. Miller and Z. J. Wang, Phys. Rev. Lett. 76, 1461 (1996); J. T. Chalker and Z. Jane Wang, ibid. 79, 1797 (1997); Phys. Rev. E 61, 196 (2000); V. G. Benza, cond-mat/0006029; G. C. Ferrario and V. G. Benza, J. Phys.: Condens. Matter 11, 7557 (1999) (cond-mat/9907011); A. V. Izyumov and B. D. Simons, Phys. Rev. Lett. 83, 4373 (1999) (cond-mat/9910163); Europhys. Lett. 45, 290 (1999) (cond-mat/9811260); A. V. Izyumov and K. V. Samokhin, J. Phys. A 32, 7843 (1999) (cond-mat/9909407); B. Mehlig and J. T. Chalker, J. Math. Phys. 41, 3233 (2000) (cond-mat/9906279); Phys. Rev. Lett. 81, 3367 (1998) (cond-mat/9809090); Ann. Phys. (Berlin) 7, 427 (1998); R. A. Janik, W. Noerenberg, M. A. Nowak, G. Papp, and I. Zahed, Phys. Rev. E 60, 2699 (1999) (cond-mat;9902314); S. Hikami and R. Pnini, J. Phys. A 31, L587 (1998) (cond-mat/9806254); A. Sedrakyan, Nucl. Phys. B 554, 554 (1999) (cond-mat/9806301); A. A. Andrianov, F. Cannata, J. P. Dedonder, and M. V. Ioffe, Int. J. Mod. Phys. A 14, 2675 (1999) (quant-ph/9806019); F. Cannata, G. Junker, and J. Trost, Phys. Lett. A 246, 219 (1998) (quant-ph/9805085); X.-B. Wang, L. C. Kwek, and C. H. Oh, Phys. Lett. A 259, 7 (1999).
51. F. Haake, F. Izrailev, N. Lehmann, D. Saher, and H. J. Sommers, Z. Phys. B: Condens. Matter 88, 359 (1992); H. J. Sommers, A. Crisanti, H. Sompolinsky, and Y. Stein, Phys. Rev. Lett. 60, 1895 (1988); M. A. Stephanov, ibid. 76, 4472 (1996); M. A. Halasz, A. D Jackson, and J. J. M. Verbaarschot, Phys. Rev. D 56, 5140 (1997); M. A. Halasz, J. C. Osborn, and J. J. M. Verbaarschot, ibid. 56, 7059 (1997); M. A. Halasz, A. D. Jackson, R. E. Shrock, M. A. Stephanov, and J. J. M. Verbaarschot, ibid. 58, 096007 (1998) (hep-ph/9804290); T. Guhr and T. Wettig, Nucl. Phys. B 506, 589 (1997) (hep-th/9704055); H. Markum, R. Pullirsch, and T. Wettig, Phys. Rev. Lett. 83, 484 (1999) (hep-lat/9906020); R. A. Janik, M. A. Nowak, G. Papp, and I. Zahed, Phys. Rev. Lett. 77, 4876 (1996); E. Gudowska-Nowak, G. Papp, and J. Brickmann, preprint cond-mat/9701187; Y. V. Fyodorov, B. A. Khoruzhenko, and H.-J. Sommers, Phys. Rev. Lett. 79, 557 (1997); Phys. Lett. A 226, 46 (1997); Ann. Inst. H. Poincare, Sect. A 68, 449 (1998); H.-J. Sommers, Yan V. Fyodorov, and M. Titov, J. Phys. A 32, L77 (1999) (chao-dyn/9807015); B. A. Khoruzhenko, J. Phys. A 29, L165 (1996); N. Hatano and D. R. Nelson, Phys. Rev. Lett. 77, 570 (1997) (cond-mat/9603165); Phys. Rev. B 56, 8651 (1997) (cond-mat/9705290); Phys. Rev. B 58, 8384 (1998) (cond-mat/9805195); D. R. Nelson and N. M. Shnerb, cond-mat/9708071; Phys. Rev. Lett. 80, 5172 (1998) (cond-mat/9801111); R. A. Lehrer and D. R. Nelson, Phys. Rev. B 58, 12385 (1998) (cond-mat/9806016); K. A. Dahmen, D. R. Nelson, and N. M. Shnerb, cond-mat/9903276; K. B. Efetov, Phys. Rev. Lett. 79, 491 (1997); Phys. Rev. B 56, 9630 (1997); A. V. Kolesnikov and K. B. Efetov, Waves Random Media 9, 71 (1999); Phys. Rev. Lett. 84, 5600 (2000) (cond-mat/0001263); J. Feinberg and A. Zee, Phys. Rev. E 59, 6433 (1999) (cond-mat/9706218); Nucl. Phys. B 552, 599 (1999) (cond-mat/9710040); E. Brézin and A. Zee, Nucl. Phys. B 509, 599 (1998) (cond-mat/9708029); C. Mudry, P. Brouwer, B. Halperin, V. Gurarie, and A. Zee, Phys. Rev. B 58, 13539 (1998); P. W. Brouwer, ibid. 57, 10526 (1998) (cond-mat/9711113); P. W. Brouwer, C. Mudry, B. D. Simons, and A. Altland, Phys. Rev. Lett. 81, 862 (1998) (cond-mat/9807189); C. Mudry, B. D. Simons, and A. Altlanld, Phys. Rev. Lett. 80, 4257 (1998) (cond-mat/9712103); R. A. Janik, M. A. Nowak, G. Papp, and I. Zahed, Acta Phys. Pol. B 30, 45 (1999) (cond-mat/9705098); I. Y. Goldsheid and B. A. Khoruzhenko, Phys. Rev. Lett. 80, 2897 (1998) (cond-mat/9707230); I. V. Yurkevich and I. V. Lerner, Phys. Rev. Lett. 82, 5080 (1999); P. W. Brouwer, P. G. Silvestrov, and C. W. J. Beenakker, Phys. Rev. Lett. 56, 4333 (1997) (cond-mat/9705186); P. G. Silvestrov, Phys. Rev. B 58, 10111 (1998) (cond-mat/9802219); Phys. Rev. Lett. 82, 3140 (1999) (cond-mat/9804093); cond-mat/0008118; B. Derrida, J. L. Jacobsen, and R. Zeitak, J. Stat. Phys. 98, 31 (2000) (cond-mat/9906235); G. M. Cicuta, M. Contedini, and L. Molinari, cond-mat/9907014; L. Molinari, J. Phys. A 31, 8553 (1998); J. Miller and Z. J. Wang, Phys. Rev. Lett. 76, 1461 (1996); J. T. Chalker and Z. Jane Wang, ibid. 79, 1797 (1997); Phys. Rev. E 61, 196 (2000); V. G. Benza, cond-mat/0006029; G. C. Ferrario and V. G. Benza, J. Phys.: Condens. Matter 11, 7557 (1999) (cond-mat/9907011); A. V. Izyumov and B. D. Simons, Phys. Rev. Lett. 83, 4373 (1999) (cond-mat/9910163); Europhys. Lett. 45, 290 (1999) (cond-mat/9811260); A. V. Izyumov and K. V. Samokhin, J. Phys. A 32, 7843 (1999) (cond-mat/9909407); B. Mehlig and J. T. Chalker, J. Math. Phys. 41, 3233 (2000) (cond-mat/9906279); Phys. Rev. Lett. 81, 3367 (1998) (cond-mat/9809090); Ann. Phys. (Berlin) 7, 427 (1998); R. A. Janik, W. Noerenberg, M. A. Nowak, G. Papp, and I. Zahed, Phys. Rev. E 60, 2699 (1999) (cond-mat;9902314); S. Hikami and R. Pnini, J. Phys. A 31, L587 (1998) (cond-mat/9806254); A. Sedrakyan, Nucl. Phys. B 554, 554 (1999) (cond-mat/9806301); A. A. Andrianov, F. Cannata, J. P. Dedonder, and M. V. Ioffe, Int. J. Mod. Phys. A 14, 2675 (1999) (quant-ph/9806019); F. Cannata, G. Junker, and J. Trost, Phys. Lett. A 246, 219 (1998) (quant-ph/9805085); X.-B. Wang, L. C. Kwek, and C. H. Oh, Phys. Lett. A 259, 7 (1999).
52. F. Haake, F. Izrailev, N. Lehmann, D. Saher, and H. J. Sommers, Z. Phys. B: Condens. Matter 88, 359 (1992); H. J. Sommers, A. Crisanti, H. Sompolinsky, and Y. Stein, Phys. Rev. Lett. 60, 1895 (1988); M. A. Stephanov, ibid. 76, 4472 (1996); M. A. Halasz, A. D Jackson, and J. J. M. Verbaarschot, Phys. Rev. D 56, 5140 (1997); M. A. Halasz, J. C. Osborn, and J. J. M. Verbaarschot, ibid. 56, 7059 (1997); M. A. Halasz, A. D. Jackson, R. E. Shrock, M. A. Stephanov, and J. J. M. Verbaarschot, ibid. 58, 096007 (1998) (hep-ph/9804290); T. Guhr and T. Wettig, Nucl. Phys. B 506, 589 (1997) (hep-th/9704055); H. Markum, R. Pullirsch, and T. Wettig, Phys. Rev. Lett. 83, 484 (1999) (hep-lat/9906020); R. A. Janik, M. A. Nowak, G. Papp, and I. Zahed, Phys. Rev. Lett. 77, 4876 (1996); E. Gudowska-Nowak, G. Papp, and J. Brickmann, preprint cond-mat/9701187; Y. V. Fyodorov, B. A. Khoruzhenko, and H.-J. Sommers, Phys. Rev. Lett. 79, 557 (1997); Phys. Lett. A 226, 46 (1997); Ann. Inst. H. Poincare, Sect. A 68, 449 (1998); H.-J. Sommers, Yan V. Fyodorov, and M. Titov, J. Phys. A 32, L77 (1999) (chao-dyn/9807015); B. A. Khoruzhenko, J. Phys. A 29, L165 (1996); N. Hatano and D. R. Nelson, Phys. Rev. Lett. 77, 570 (1997) (cond-mat/9603165); Phys. Rev. B 56, 8651 (1997) (cond-mat/9705290); Phys. Rev. B 58, 8384 (1998) (cond-mat/9805195); D. R. Nelson and N. M. Shnerb, cond-mat/9708071; Phys. Rev. Lett. 80, 5172 (1998) (cond-mat/9801111); R. A. Lehrer and D. R. Nelson, Phys. Rev. B 58, 12385 (1998) (cond-mat/9806016); K. A. Dahmen, D. R. Nelson, and N. M. Shnerb, cond-mat/9903276; K. B. Efetov, Phys. Rev. Lett. 79, 491 (1997); Phys. Rev. B 56, 9630 (1997); A. V. Kolesnikov and K. B. Efetov, Waves Random Media 9, 71 (1999); Phys. Rev. Lett. 84, 5600 (2000) (cond-mat/0001263); J. Feinberg and A. Zee, Phys. Rev. E 59, 6433 (1999) (cond-mat/9706218); Nucl. Phys. B 552, 599 (1999) (cond-mat/9710040); E. Brézin and A. Zee, Nucl. Phys. B 509, 599 (1998) (cond-mat/9708029); C. Mudry, P. Brouwer, B. Halperin, V. Gurarie, and A. Zee, Phys. Rev. B 58, 13539 (1998); P. W. Brouwer, ibid. 57, 10526 (1998) (cond-mat/9711113); P. W. Brouwer, C. Mudry, B. D. Simons, and A. Altland, Phys. Rev. Lett. 81, 862 (1998) (cond-mat/9807189); C. Mudry, B. D. Simons, and A. Altlanld, Phys. Rev. Lett. 80, 4257 (1998) (cond-mat/9712103); R. A. Janik, M. A. Nowak, G. Papp, and I. Zahed, Acta Phys. Pol. B 30, 45 (1999) (cond-mat/9705098); I. Y. Goldsheid and B. A. Khoruzhenko, Phys. Rev. Lett. 80, 2897 (1998) (cond-mat/9707230); I. V. Yurkevich and I. V. Lerner, Phys. Rev. Lett. 82, 5080 (1999); P. W. Brouwer, P. G. Silvestrov, and C. W. J. Beenakker, Phys. Rev. Lett. 56, 4333 (1997) (cond-mat/9705186); P. G. Silvestrov, Phys. Rev. B 58, 10111 (1998) (cond-mat/9802219); Phys. Rev. Lett. 82, 3140 (1999) (cond-mat/9804093); cond-mat/0008118; B. Derrida, J. L. Jacobsen, and R. Zeitak, J. Stat. Phys. 98, 31 (2000) (cond-mat/9906235); G. M. Cicuta, M. Contedini, and L. Molinari, cond-mat/9907014; L. Molinari, J. Phys. A 31, 8553 (1998); J. Miller and Z. J. Wang, Phys. Rev. Lett. 76, 1461 (1996); J. T. Chalker and Z. Jane Wang, ibid. 79, 1797 (1997); Phys. Rev. E 61, 196 (2000); V. G. Benza, cond-mat/0006029; G. C. Ferrario and V. G. Benza, J. Phys.: Condens. Matter 11, 7557 (1999) (cond-mat/9907011); A. V. Izyumov and B. D. Simons, Phys. Rev. Lett. 83, 4373 (1999) (cond-mat/9910163); Europhys. Lett. 45, 290 (1999) (cond-mat/9811260); A. V. Izyumov and K. V. Samokhin, J. Phys. A 32, 7843 (1999) (cond-mat/9909407); B. Mehlig and J. T. Chalker, J. Math. Phys. 41, 3233 (2000) (cond-mat/9906279); Phys. Rev. Lett. 81, 3367 (1998) (cond-mat/9809090); Ann. Phys. (Berlin) 7, 427 (1998); R. A. Janik, W. Noerenberg, M. A. Nowak, G. Papp, and I. Zahed, Phys. Rev. E 60, 2699 (1999) (cond-mat;9902314); S. Hikami and R. Pnini, J. Phys. A 31, L587 (1998) (cond-mat/9806254); A. Sedrakyan, Nucl. Phys. B 554, 554 (1999) (cond-mat/9806301); A. A. Andrianov, F. Cannata, J. P. Dedonder, and M. V. Ioffe, Int. J. Mod. Phys. A 14, 2675 (1999) (quant-ph/9806019); F. Cannata, G. Junker, and J. Trost, Phys. Lett. A 246, 219 (1998) (quant-ph/9805085); X.-B. Wang, L. C. Kwek, and C. H. Oh, Phys. Lett. A 259, 7 (1999).
53. F. Haake, F. Izrailev, N. Lehmann, D. Saher, and H. J. Sommers, Z. Phys. B: Condens. Matter 88, 359 (1992); H. J. Sommers, A. Crisanti, H. Sompolinsky, and Y. Stein, Phys. Rev. Lett. 60, 1895 (1988); M. A. Stephanov, ibid. 76, 4472 (1996); M. A. Halasz, A. D Jackson, and J. J. M. Verbaarschot, Phys. Rev. D 56, 5140 (1997); M. A. Halasz, J. C. Osborn, and J. J. M. Verbaarschot, ibid. 56, 7059 (1997); M. A. Halasz, A. D. Jackson, R. E. Shrock, M. A. Stephanov, and J. J. M. Verbaarschot, ibid. 58, 096007 (1998) (hep-ph/9804290); T. Guhr and T. Wettig, Nucl. Phys. B 506, 589 (1997) (hep-th/9704055); H. Markum, R. Pullirsch, and T. Wettig, Phys. Rev. Lett. 83, 484 (1999) (hep-lat/9906020); R. A. Janik, M. A. Nowak, G. Papp, and I. Zahed, Phys. Rev. Lett. 77, 4876 (1996); E. Gudowska-Nowak, G. Papp, and J. Brickmann, preprint cond-mat/9701187; Y. V. Fyodorov, B. A. Khoruzhenko, and H.-J. Sommers, Phys. Rev. Lett. 79, 557 (1997); Phys. Lett. A 226, 46 (1997); Ann. Inst. H. Poincare, Sect. A 68, 449 (1998); H.-J. Sommers, Yan V. Fyodorov, and M. Titov, J. Phys. A 32, L77 (1999) (chao-dyn/9807015); B. A. Khoruzhenko, J. Phys. A 29, L165 (1996); N. Hatano and D. R. Nelson, Phys. Rev. Lett. 77, 570 (1997) (cond-mat/9603165); Phys. Rev. B 56, 8651 (1997) (cond-mat/9705290); Phys. Rev. B 58, 8384 (1998) (cond-mat/9805195); D. R. Nelson and N. M. Shnerb, cond-mat/9708071; Phys. Rev. Lett. 80, 5172 (1998) (cond-mat/9801111); R. A. Lehrer and D. R. Nelson, Phys. Rev. B 58, 12385 (1998) (cond-mat/9806016); K. A. Dahmen, D. R. Nelson, and N. M. Shnerb, cond-mat/9903276; K. B. Efetov, Phys. Rev. Lett. 79, 491 (1997); Phys. Rev. B 56, 9630 (1997); A. V. Kolesnikov and K. B. Efetov, Waves Random Media 9, 71 (1999); Phys. Rev. Lett. 84, 5600 (2000) (cond-mat/0001263); J. Feinberg and A. Zee, Phys. Rev. E 59, 6433 (1999) (cond-mat/9706218); Nucl. Phys. B 552, 599 (1999) (cond-mat/9710040); E. Brézin and A. Zee, Nucl. Phys. B 509, 599 (1998) (cond-mat/9708029); C. Mudry, P. Brouwer, B. Halperin, V. Gurarie, and A. Zee, Phys. Rev. B 58, 13539 (1998); P. W. Brouwer, ibid. 57, 10526 (1998) (cond-mat/9711113); P. W. Brouwer, C. Mudry, B. D. Simons, and A. Altland, Phys. Rev. Lett. 81, 862 (1998) (cond-mat/9807189); C. Mudry, B. D. Simons, and A. Altlanld, Phys. Rev. Lett. 80, 4257 (1998) (cond-mat/9712103); R. A. Janik, M. A. Nowak, G. Papp, and I. Zahed, Acta Phys. Pol. B 30, 45 (1999) (cond-mat/9705098); I. Y. Goldsheid and B. A. Khoruzhenko, Phys. Rev. Lett. 80, 2897 (1998) (cond-mat/9707230); I. V. Yurkevich and I. V. Lerner, Phys. Rev. Lett. 82, 5080 (1999); P. W. Brouwer, P. G. Silvestrov, and C. W. J. Beenakker, Phys. Rev. Lett. 56, 4333 (1997) (cond-mat/9705186); P. G. Silvestrov, Phys. Rev. B 58, 10111 (1998) (cond-mat/9802219); Phys. Rev. Lett. 82, 3140 (1999) (cond-mat/9804093); cond-mat/0008118; B. Derrida, J. L. Jacobsen, and R. Zeitak, J. Stat. Phys. 98, 31 (2000) (cond-mat/9906235); G. M. Cicuta, M. Contedini, and L. Molinari, cond-mat/9907014; L. Molinari, J. Phys. A 31, 8553 (1998); J. Miller and Z. J. Wang, Phys. Rev. Lett. 76, 1461 (1996); J. T. Chalker and Z. Jane Wang, ibid. 79, 1797 (1997); Phys. Rev. E 61, 196 (2000); V. G. Benza, cond-mat/0006029; G. C. Ferrario and V. G. Benza, J. Phys.: Condens. Matter 11, 7557 (1999) (cond-mat/9907011); A. V. Izyumov and B. D. Simons, Phys. Rev. Lett. 83, 4373 (1999) (cond-mat/9910163); Europhys. Lett. 45, 290 (1999) (cond-mat/9811260); A. V. Izyumov and K. V. Samokhin, J. Phys. A 32, 7843 (1999) (cond-mat/9909407); B. Mehlig and J. T. Chalker, J. Math. Phys. 41, 3233 (2000) (cond-mat/9906279); Phys. Rev. Lett. 81, 3367 (1998) (cond-mat/9809090); Ann. Phys. (Berlin) 7, 427 (1998); R. A. Janik, W. Noerenberg, M. A. Nowak, G. Papp, and I. Zahed, Phys. Rev. E 60, 2699 (1999) (cond-mat;9902314); S. Hikami and R. Pnini, J. Phys. A 31, L587 (1998) (cond-mat/9806254); A. Sedrakyan, Nucl. Phys. B 554, 554 (1999) (cond-mat/9806301); A. A. Andrianov, F. Cannata, J. P. Dedonder, and M. V. Ioffe, Int. J. Mod. Phys. A 14, 2675 (1999) (quant-ph/9806019); F. Cannata, G. Junker, and J. Trost, Phys. Lett. A 246, 219 (1998) (quant-ph/9805085); X.-B. Wang, L. C. Kwek, and C. H. Oh, Phys. Lett. A 259, 7 (1999).
54. F. Haake, F. Izrailev, N. Lehmann, D. Saher, and H. J. Sommers, Z. Phys. B: Condens. Matter 88, 359 (1992); H. J. Sommers, A. Crisanti, H. Sompolinsky, and Y. Stein, Phys. Rev. Lett. 60, 1895 (1988); M. A. Stephanov, ibid. 76, 4472 (1996); M. A. Halasz, A. D Jackson, and J. J. M. Verbaarschot, Phys. Rev. D 56, 5140 (1997); M. A. Halasz, J. C. Osborn, and J. J. M. Verbaarschot, ibid. 56, 7059 (1997); M. A. Halasz, A. D. Jackson, R. E. Shrock, M. A. Stephanov, and J. J. M. Verbaarschot, ibid. 58, 096007 (1998) (hep-ph/9804290); T. Guhr and T. Wettig, Nucl. Phys. B 506, 589 (1997) (hep-th/9704055); H. Markum, R. Pullirsch, and T. Wettig, Phys. Rev. Lett. 83, 484 (1999) (hep-lat/9906020); R. A. Janik, M. A. Nowak, G. Papp, and I. Zahed, Phys. Rev. Lett. 77, 4876 (1996); E. Gudowska-Nowak, G. Papp, and J. Brickmann, preprint cond-mat/9701187; Y. V. Fyodorov, B. A. Khoruzhenko, and H.-J. Sommers, Phys. Rev. Lett. 79, 557 (1997); Phys. Lett. A 226, 46 (1997); Ann. Inst. H. Poincare, Sect. A 68, 449 (1998); H.-J. Sommers, Yan V. Fyodorov, and M. Titov, J. Phys. A 32, L77 (1999) (chao-dyn/9807015); B. A. Khoruzhenko, J. Phys. A 29, L165 (1996); N. Hatano and D. R. Nelson, Phys. Rev. Lett. 77, 570 (1997) (cond-mat/9603165); Phys. Rev. B 56, 8651 (1997) (cond-mat/9705290); Phys. Rev. B 58, 8384 (1998) (cond-mat/9805195); D. R. Nelson and N. M. Shnerb, cond-mat/9708071; Phys. Rev. Lett. 80, 5172 (1998) (cond-mat/9801111); R. A. Lehrer and D. R. Nelson, Phys. Rev. B 58, 12385 (1998) (cond-mat/9806016); K. A. Dahmen, D. R. Nelson, and N. M. Shnerb, cond-mat/9903276; K. B. Efetov, Phys. Rev. Lett. 79, 491 (1997); Phys. Rev. B 56, 9630 (1997); A. V. Kolesnikov and K. B. Efetov, Waves Random Media 9, 71 (1999); Phys. Rev. Lett. 84, 5600 (2000) (cond-mat/0001263); J. Feinberg and A. Zee, Phys. Rev. E 59, 6433 (1999) (cond-mat/9706218); Nucl. Phys. B 552, 599 (1999) (cond-mat/9710040); E. Brézin and A. Zee, Nucl. Phys. B 509, 599 (1998) (cond-mat/9708029); C. Mudry, P. Brouwer, B. Halperin, V. Gurarie, and A. Zee, Phys. Rev. B 58, 13539 (1998); P. W. Brouwer, ibid. 57, 10526 (1998) (cond-mat/9711113); P. W. Brouwer, C. Mudry, B. D. Simons, and A. Altland, Phys. Rev. Lett. 81, 862 (1998) (cond-mat/9807189); C. Mudry, B. D. Simons, and A. Altlanld, Phys. Rev. Lett. 80, 4257 (1998) (cond-mat/9712103); R. A. Janik, M. A. Nowak, G. Papp, and I. Zahed, Acta Phys. Pol. B 30, 45 (1999) (cond-mat/9705098); I. Y. Goldsheid and B. A. Khoruzhenko, Phys. Rev. Lett. 80, 2897 (1998) (cond-mat/9707230); I. V. Yurkevich and I. V. Lerner, Phys. Rev. Lett. 82, 5080 (1999); P. W. Brouwer, P. G. Silvestrov, and C. W. J. Beenakker, Phys. Rev. Lett. 56, 4333 (1997) (cond-mat/9705186); P. G. Silvestrov, Phys. Rev. B 58, 10111 (1998) (cond-mat/9802219); Phys. Rev. Lett. 82, 3140 (1999) (cond-mat/9804093); cond-mat/0008118; B. Derrida, J. L. Jacobsen, and R. Zeitak, J. Stat. Phys. 98, 31 (2000) (cond-mat/9906235); G. M. Cicuta, M. Contedini, and L. Molinari, cond-mat/9907014; L. Molinari, J. Phys. A 31, 8553 (1998); J. Miller and Z. J. Wang, Phys. Rev. Lett. 76, 1461 (1996); J. T. Chalker and Z. Jane Wang, ibid. 79, 1797 (1997); Phys. Rev. E 61, 196 (2000); V. G. Benza, cond-mat/0006029; G. C. Ferrario and V. G. Benza, J. Phys.: Condens. Matter 11, 7557 (1999) (cond-mat/9907011); A. V. Izyumov and B. D. Simons, Phys. Rev. Lett. 83, 4373 (1999) (cond-mat/9910163); Europhys. Lett. 45, 290 (1999) (cond-mat/9811260); A. V. Izyumov and K. V. Samokhin, J. Phys. A 32, 7843 (1999) (cond-mat/9909407); B. Mehlig and J. T. Chalker, J. Math. Phys. 41, 3233 (2000) (cond-mat/9906279); Phys. Rev. Lett. 81, 3367 (1998) (cond-mat/9809090); Ann. Phys. (Berlin) 7, 427 (1998); R. A. Janik, W. Noerenberg, M. A. Nowak, G. Papp, and I. Zahed, Phys. Rev. E 60, 2699 (1999) (cond-mat;9902314); S. Hikami and R. Pnini, J. Phys. A 31, L587 (1998) (cond-mat/9806254); A. Sedrakyan, Nucl. Phys. B 554, 554 (1999) (cond-mat/9806301); A. A. Andrianov, F. Cannata, J. P. Dedonder, and M. V. Ioffe, Int. J. Mod. Phys. A 14, 2675 (1999) (quant-ph/9806019); F. Cannata, G. Junker, and J. Trost, Phys. Lett. A 246, 219 (1998) (quant-ph/9805085); X.-B. Wang, L. C. Kwek, and C. H. Oh, Phys. Lett. A 259, 7 (1999).
55. F. Haake, F. Izrailev, N. Lehmann, D. Saher, and H. J. Sommers, Z. Phys. B: Condens. Matter 88, 359 (1992); H. J. Sommers, A. Crisanti, H. Sompolinsky, and Y. Stein, Phys. Rev. Lett. 60, 1895 (1988); M. A. Stephanov, ibid. 76, 4472 (1996); M. A. Halasz, A. D Jackson, and J. J. M. Verbaarschot, Phys. Rev. D 56, 5140 (1997); M. A. Halasz, J. C. Osborn, and J. J. M. Verbaarschot, ibid. 56, 7059 (1997); M. A. Halasz, A. D. Jackson, R. E. Shrock, M. A. Stephanov, and J. J. M. Verbaarschot, ibid. 58, 096007 (1998) (hep-ph/9804290); T. Guhr and T. Wettig, Nucl. Phys. B 506, 589 (1997) (hep-th/9704055); H. Markum, R. Pullirsch, and T. Wettig, Phys. Rev. Lett. 83, 484 (1999) (hep-lat/9906020); R. A. Janik, M. A. Nowak, G. Papp, and I. Zahed, Phys. Rev. Lett. 77, 4876 (1996); E. Gudowska-Nowak, G. Papp, and J. Brickmann, preprint cond-mat/9701187; Y. V. Fyodorov, B. A. Khoruzhenko, and H.-J. Sommers, Phys. Rev. Lett. 79, 557 (1997); Phys. Lett. A 226, 46 (1997); Ann. Inst. H. Poincare, Sect. A 68, 449 (1998); H.-J. Sommers, Yan V. Fyodorov, and M. Titov, J. Phys. A 32, L77 (1999) (chao-dyn/9807015); B. A. Khoruzhenko, J. Phys. A 29, L165 (1996); N. Hatano and D. R. Nelson, Phys. Rev. Lett. 77, 570 (1997) (cond-mat/9603165); Phys. Rev. B 56, 8651 (1997) (cond-mat/9705290); Phys. Rev. B 58, 8384 (1998) (cond-mat/9805195); D. R. Nelson and N. M. Shnerb, cond-mat/9708071; Phys. Rev. Lett. 80, 5172 (1998) (cond-mat/9801111); R. A. Lehrer and D. R. Nelson, Phys. Rev. B 58, 12385 (1998) (cond-mat/9806016); K. A. Dahmen, D. R. Nelson, and N. M. Shnerb, cond-mat/9903276; K. B. Efetov, Phys. Rev. Lett. 79, 491 (1997); Phys. Rev. B 56, 9630 (1997); A. V. Kolesnikov and K. B. Efetov, Waves Random Media 9, 71 (1999); Phys. Rev. Lett. 84, 5600 (2000) (cond-mat/0001263); J. Feinberg and A. Zee, Phys. Rev. E 59, 6433 (1999) (cond-mat/9706218); Nucl. Phys. B 552, 599 (1999) (cond-mat/9710040); E. Brézin and A. Zee, Nucl. Phys. B 509, 599 (1998) (cond-mat/9708029); C. Mudry, P. Brouwer, B. Halperin, V. Gurarie, and A. Zee, Phys. Rev. B 58, 13539 (1998); P. W. Brouwer, ibid. 57, 10526 (1998) (cond-mat/9711113); P. W. Brouwer, C. Mudry, B. D. Simons, and A. Altland, Phys. Rev. Lett. 81, 862 (1998) (cond-mat/9807189); C. Mudry, B. D. Simons, and A. Altlanld, Phys. Rev. Lett. 80, 4257 (1998) (cond-mat/9712103); R. A. Janik, M. A. Nowak, G. Papp, and I. Zahed, Acta Phys. Pol. B 30, 45 (1999) (cond-mat/9705098); I. Y. Goldsheid and B. A. Khoruzhenko, Phys. Rev. Lett. 80, 2897 (1998) (cond-mat/9707230); I. V. Yurkevich and I. V. Lerner, Phys. Rev. Lett. 82, 5080 (1999); P. W. Brouwer, P. G. Silvestrov, and C. W. J. Beenakker, Phys. Rev. Lett. 56, 4333 (1997) (cond-mat/9705186); P. G. Silvestrov, Phys. Rev. B 58, 10111 (1998) (cond-mat/9802219); Phys. Rev. Lett. 82, 3140 (1999) (cond-mat/9804093); cond-mat/0008118; B. Derrida, J. L. Jacobsen, and R. Zeitak, J. Stat. Phys. 98, 31 (2000) (cond-mat/9906235); G. M. Cicuta, M. Contedini, and L. Molinari, cond-mat/9907014; L. Molinari, J. Phys. A 31, 8553 (1998); J. Miller and Z. J. Wang, Phys. Rev. Lett. 76, 1461 (1996); J. T. Chalker and Z. Jane Wang, ibid. 79, 1797 (1997); Phys. Rev. E 61, 196 (2000); V. G. Benza, cond-mat/0006029; G. C. Ferrario and V. G. Benza, J. Phys.: Condens. Matter 11, 7557 (1999) (cond-mat/9907011); A. V. Izyumov and B. D. Simons, Phys. Rev. Lett. 83, 4373 (1999) (cond-mat/9910163); Europhys. Lett. 45, 290 (1999) (cond-mat/9811260); A. V. Izyumov and K. V. Samokhin, J. Phys. A 32, 7843 (1999) (cond-mat/9909407); B. Mehlig and J. T. Chalker, J. Math. Phys. 41, 3233 (2000) (cond-mat/9906279); Phys. Rev. Lett. 81, 3367 (1998) (cond-mat/9809090); Ann. Phys. (Berlin) 7, 427 (1998); R. A. Janik, W. Noerenberg, M. A. Nowak, G. Papp, and I. Zahed, Phys. Rev. E 60, 2699 (1999) (cond-mat;9902314); S. Hikami and R. Pnini, J. Phys. A 31, L587 (1998) (cond-mat/9806254); A. Sedrakyan, Nucl. Phys. B 554, 554 (1999) (cond-mat/9806301); A. A. Andrianov, F. Cannata, J. P. Dedonder, and M. V. Ioffe, Int. J. Mod. Phys. A 14, 2675 (1999) (quant-ph/9806019); F. Cannata, G. Junker, and J. Trost, Phys. Lett. A 246, 219 (1998) (quant-ph/9805085); X.-B. Wang, L. C. Kwek, and C. H. Oh, Phys. Lett. A 259, 7 (1999).
56. F. Haake, F. Izrailev, N. Lehmann, D. Saher, and H. J. Sommers, Z. Phys. B: Condens. Matter 88, 359 (1992); H. J. Sommers, A. Crisanti, H. Sompolinsky, and Y. Stein, Phys. Rev. Lett. 60, 1895 (1988); M. A. Stephanov, ibid. 76, 4472 (1996); M. A. Halasz, A. D Jackson, and J. J. M. Verbaarschot, Phys. Rev. D 56, 5140 (1997); M. A. Halasz, J. C. Osborn, and J. J. M. Verbaarschot, ibid. 56, 7059 (1997); M. A. Halasz, A. D. Jackson, R. E. Shrock, M. A. Stephanov, and J. J. M. Verbaarschot, ibid. 58, 096007 (1998) (hep-ph/9804290); T. Guhr and T. Wettig, Nucl. Phys. B 506, 589 (1997) (hep-th/9704055); H. Markum, R. Pullirsch, and T. Wettig, Phys. Rev. Lett. 83, 484 (1999) (hep-lat/9906020); R. A. Janik, M. A. Nowak, G. Papp, and I. Zahed, Phys. Rev. Lett. 77, 4876 (1996); E. Gudowska-Nowak, G. Papp, and J. Brickmann, preprint cond-mat/9701187; Y. V. Fyodorov, B. A. Khoruzhenko, and H.-J. Sommers, Phys. Rev. Lett. 79, 557 (1997); Phys. Lett. A 226, 46 (1997); Ann. Inst. H. Poincare, Sect. A 68, 449 (1998); H.-J. Sommers, Yan V. Fyodorov, and M. Titov, J. Phys. A 32, L77 (1999) (chao-dyn/9807015); B. A. Khoruzhenko, J. Phys. A 29, L165 (1996); N. Hatano and D. R. Nelson, Phys. Rev. Lett. 77, 570 (1997) (cond-mat/9603165); Phys. Rev. B 56, 8651 (1997) (cond-mat/9705290); Phys. Rev. B 58, 8384 (1998) (cond-mat/9805195); D. R. Nelson and N. M. Shnerb, cond-mat/9708071; Phys. Rev. Lett. 80, 5172 (1998) (cond-mat/9801111); R. A. Lehrer and D. R. Nelson, Phys. Rev. B 58, 12385 (1998) (cond-mat/9806016); K. A. Dahmen, D. R. Nelson, and N. M. Shnerb, cond-mat/9903276; K. B. Efetov, Phys. Rev. Lett. 79, 491 (1997); Phys. Rev. B 56, 9630 (1997); A. V. Kolesnikov and K. B. Efetov, Waves Random Media 9, 71 (1999); Phys. Rev. Lett. 84, 5600 (2000) (cond-mat/0001263); J. Feinberg and A. Zee, Phys. Rev. E 59, 6433 (1999) (cond-mat/9706218); Nucl. Phys. B 552, 599 (1999) (cond-mat/9710040); E. Brézin and A. Zee, Nucl. Phys. B 509, 599 (1998) (cond-mat/9708029); C. Mudry, P. Brouwer, B. Halperin, V. Gurarie, and A. Zee, Phys. Rev. B 58, 13539 (1998); P. W. Brouwer, ibid. 57, 10526 (1998) (cond-mat/9711113); P. W. Brouwer, C. Mudry, B. D. Simons, and A. Altland, Phys. Rev. Lett. 81, 862 (1998) (cond-mat/9807189); C. Mudry, B. D. Simons, and A. Altlanld, Phys. Rev. Lett. 80, 4257 (1998) (cond-mat/9712103); R. A. Janik, M. A. Nowak, G. Papp, and I. Zahed, Acta Phys. Pol. B 30, 45 (1999) (cond-mat/9705098); I. Y. Goldsheid and B. A. Khoruzhenko, Phys. Rev. Lett. 80, 2897 (1998) (cond-mat/9707230); I. V. Yurkevich and I. V. Lerner, Phys. Rev. Lett. 82, 5080 (1999); P. W. Brouwer, P. G. Silvestrov, and C. W. J. Beenakker, Phys. Rev. Lett. 56, 4333 (1997) (cond-mat/9705186); P. G. Silvestrov, Phys. Rev. B 58, 10111 (1998) (cond-mat/9802219); Phys. Rev. Lett. 82, 3140 (1999) (cond-mat/9804093); cond-mat/0008118; B. Derrida, J. L. Jacobsen, and R. Zeitak, J. Stat. Phys. 98, 31 (2000) (cond-mat/9906235); G. M. Cicuta, M. Contedini, and L. Molinari, cond-mat/9907014; L. Molinari, J. Phys. A 31, 8553 (1998); J. Miller and Z. J. Wang, Phys. Rev. Lett. 76, 1461 (1996); J. T. Chalker and Z. Jane Wang, ibid. 79, 1797 (1997); Phys. Rev. E 61, 196 (2000); V. G. Benza, cond-mat/0006029; G. C. Ferrario and V. G. Benza, J. Phys.: Condens. Matter 11, 7557 (1999) (cond-mat/9907011); A. V. Izyumov and B. D. Simons, Phys. Rev. Lett. 83, 4373 (1999) (cond-mat/9910163); Europhys. Lett. 45, 290 (1999) (cond-mat/9811260); A. V. Izyumov and K. V. Samokhin, J. Phys. A 32, 7843 (1999) (cond-mat/9909407); B. Mehlig and J. T. Chalker, J. Math. Phys. 41, 3233 (2000) (cond-mat/9906279); Phys. Rev. Lett. 81, 3367 (1998) (cond-mat/9809090); Ann. Phys. (Berlin) 7, 427 (1998); R. A. Janik, W. Noerenberg, M. A. Nowak, G. Papp, and I. Zahed, Phys. Rev. E 60, 2699 (1999) (cond-mat;9902314); S. Hikami and R. Pnini, J. Phys. A 31, L587 (1998) (cond-mat/9806254); A. Sedrakyan, Nucl. Phys. B 554, 554 (1999) (cond-mat/9806301); A. A. Andrianov, F. Cannata, J. P. Dedonder, and M. V. Ioffe, Int. J. Mod. Phys. A 14, 2675 (1999) (quant-ph/9806019); F. Cannata, G. Junker, and J. Trost, Phys. Lett. A 246, 219 (1998) (quant-ph/9805085); X.-B. Wang, L. C. Kwek, and C. H. Oh, Phys. Lett. A 259, 7 (1999).
57. F. Haake, F. Izrailev, N. Lehmann, D. Saher, and H. J. Sommers, Z. Phys. B: Condens. Matter 88, 359 (1992); H. J. Sommers, A. Crisanti, H. Sompolinsky, and Y. Stein, Phys. Rev. Lett. 60, 1895 (1988); M. A. Stephanov, ibid. 76, 4472 (1996); M. A. Halasz, A. D Jackson, and J. J. M. Verbaarschot, Phys. Rev. D 56, 5140 (1997); M. A. Halasz, J. C. Osborn, and J. J. M. Verbaarschot, ibid. 56, 7059 (1997); M. A. Halasz, A. D. Jackson, R. E. Shrock, M. A. Stephanov, and J. J. M. Verbaarschot, ibid. 58, 096007 (1998) (hep-ph/9804290); T. Guhr and T. Wettig, Nucl. Phys. B 506, 589 (1997) (hep-th/9704055); H. Markum, R. Pullirsch, and T. Wettig, Phys. Rev. Lett. 83, 484 (1999) (hep-lat/9906020); R. A. Janik, M. A. Nowak, G. Papp, and I. Zahed, Phys. Rev. Lett. 77, 4876 (1996); E. Gudowska-Nowak, G. Papp, and J. Brickmann, preprint cond-mat/9701187; Y. V. Fyodorov, B. A. Khoruzhenko, and H.-J. Sommers, Phys. Rev. Lett. 79, 557 (1997); Phys. Lett. A 226, 46 (1997); Ann. Inst. H. Poincare, Sect. A 68, 449 (1998); H.-J. Sommers, Yan V. Fyodorov, and M. Titov, J. Phys. A 32, L77 (1999) (chao-dyn/9807015); B. A. Khoruzhenko, J. Phys. A 29, L165 (1996); N. Hatano and D. R. Nelson, Phys. Rev. Lett. 77, 570 (1997) (cond-mat/9603165); Phys. Rev. B 56, 8651 (1997) (cond-mat/9705290); Phys. Rev. B 58, 8384 (1998) (cond-mat/9805195); D. R. Nelson and N. M. Shnerb, cond-mat/9708071; Phys. Rev. Lett. 80, 5172 (1998) (cond-mat/9801111); R. A. Lehrer and D. R. Nelson, Phys. Rev. B 58, 12385 (1998) (cond-mat/9806016); K. A. Dahmen, D. R. Nelson, and N. M. Shnerb, cond-mat/9903276; K. B. Efetov, Phys. Rev. Lett. 79, 491 (1997); Phys. Rev. B 56, 9630 (1997); A. V. Kolesnikov and K. B. Efetov, Waves Random Media 9, 71 (1999); Phys. Rev. Lett. 84, 5600 (2000) (cond-mat/0001263); J. Feinberg and A. Zee, Phys. Rev. E 59, 6433 (1999) (cond-mat/9706218); Nucl. Phys. B 552, 599 (1999) (cond-mat/9710040); E. Brézin and A. Zee, Nucl. Phys. B 509, 599 (1998) (cond-mat/9708029); C. Mudry, P. Brouwer, B. Halperin, V. Gurarie, and A. Zee, Phys. Rev. B 58, 13539 (1998); P. W. Brouwer, ibid. 57, 10526 (1998) (cond-mat/9711113); P. W. Brouwer, C. Mudry, B. D. Simons, and A. Altland, Phys. Rev. Lett. 81, 862 (1998) (cond-mat/9807189); C. Mudry, B. D. Simons, and A. Altlanld, Phys. Rev. Lett. 80, 4257 (1998) (cond-mat/9712103); R. A. Janik, M. A. Nowak, G. Papp, and I. Zahed, Acta Phys. Pol. B 30, 45 (1999) (cond-mat/9705098); I. Y. Goldsheid and B. A. Khoruzhenko, Phys. Rev. Lett. 80, 2897 (1998) (cond-mat/9707230); I. V. Yurkevich and I. V. Lerner, Phys. Rev. Lett. 82, 5080 (1999); P. W. Brouwer, P. G. Silvestrov, and C. W. J. Beenakker, Phys. Rev. Lett. 56, 4333 (1997) (cond-mat/9705186); P. G. Silvestrov, Phys. Rev. B 58, 10111 (1998) (cond-mat/9802219); Phys. Rev. Lett. 82, 3140 (1999) (cond-mat/9804093); cond-mat/0008118; B. Derrida, J. L. Jacobsen, and R. Zeitak, J. Stat. Phys. 98, 31 (2000) (cond-mat/9906235); G. M. Cicuta, M. Contedini, and L. Molinari, cond-mat/9907014; L. Molinari, J. Phys. A 31, 8553 (1998); J. Miller and Z. J. Wang, Phys. Rev. Lett. 76, 1461 (1996); J. T. Chalker and Z. Jane Wang, ibid. 79, 1797 (1997); Phys. Rev. E 61, 196 (2000); V. G. Benza, cond-mat/0006029; G. C. Ferrario and V. G. Benza, J. Phys.: Condens. Matter 11, 7557 (1999) (cond-mat/9907011); A. V. Izyumov and B. D. Simons, Phys. Rev. Lett. 83, 4373 (1999) (cond-mat/9910163); Europhys. Lett. 45, 290 (1999) (cond-mat/9811260); A. V. Izyumov and K. V. Samokhin, J. Phys. A 32, 7843 (1999) (cond-mat/9909407); B. Mehlig and J. T. Chalker, J. Math. Phys. 41, 3233 (2000) (cond-mat/9906279); Phys. Rev. Lett. 81, 3367 (1998) (cond-mat/9809090); Ann. Phys. (Berlin) 7, 427 (1998); R. A. Janik, W. Noerenberg, M. A. Nowak, G. Papp, and I. Zahed, Phys. Rev. E 60, 2699 (1999) (cond-mat;9902314); S. Hikami and R. Pnini, J. Phys. A 31, L587 (1998) (cond-mat/9806254); A. Sedrakyan, Nucl. Phys. B 554, 554 (1999) (cond-mat/9806301); A. A. Andrianov, F. Cannata, J. P. Dedonder, and M. V. Ioffe, Int. J. Mod. Phys. A 14, 2675 (1999) (quant-ph/9806019); F. Cannata, G. Junker, and J. Trost, Phys. Lett. A 246, 219 (1998) (quant-ph/9805085); X.-B. Wang, L. C. Kwek, and C. H. Oh, Phys. Lett. A 259, 7 (1999).
58. F. Haake, F. Izrailev, N. Lehmann, D. Saher, and H. J. Sommers, Z. Phys. B: Condens. Matter 88, 359 (1992); H. J. Sommers, A. Crisanti, H. Sompolinsky, and Y. Stein, Phys. Rev. Lett. 60, 1895 (1988); M. A. Stephanov, ibid. 76, 4472 (1996); M. A. Halasz, A. D Jackson, and J. J. M. Verbaarschot, Phys. Rev. D 56, 5140 (1997); M. A. Halasz, J. C. Osborn, and J. J. M. Verbaarschot, ibid. 56, 7059 (1997); M. A. Halasz, A. D. Jackson, R. E. Shrock, M. A. Stephanov, and J. J. M. Verbaarschot, ibid. 58, 096007 (1998) (hep-ph/9804290); T. Guhr and T. Wettig, Nucl. Phys. B 506, 589 (1997) (hep-th/9704055); H. Markum, R. Pullirsch, and T. Wettig, Phys. Rev. Lett. 83, 484 (1999) (hep-lat/9906020); R. A. Janik, M. A. Nowak, G. Papp, and I. Zahed, Phys. Rev. Lett. 77, 4876 (1996); E. Gudowska-Nowak, G. Papp, and J. Brickmann, preprint cond-mat/9701187; Y. V. Fyodorov, B. A. Khoruzhenko, and H.-J. Sommers, Phys. Rev. Lett. 79, 557 (1997); Phys. Lett. A 226, 46 (1997); Ann. Inst. H. Poincare, Sect. A 68, 449 (1998); H.-J. Sommers, Yan V. Fyodorov, and M. Titov, J. Phys. A 32, L77 (1999) (chao-dyn/9807015); B. A. Khoruzhenko, J. Phys. A 29, L165 (1996); N. Hatano and D. R. Nelson, Phys. Rev. Lett. 77, 570 (1997) (cond-mat/9603165); Phys. Rev. B 56, 8651 (1997) (cond-mat/9705290); Phys. Rev. B 58, 8384 (1998) (cond-mat/9805195); D. R. Nelson and N. M. Shnerb, cond-mat/9708071; Phys. Rev. Lett. 80, 5172 (1998) (cond-mat/9801111); R. A. Lehrer and D. R. Nelson, Phys. Rev. B 58, 12385 (1998) (cond-mat/9806016); K. A. Dahmen, D. R. Nelson, and N. M. Shnerb, cond-mat/9903276; K. B. Efetov, Phys. Rev. Lett. 79, 491 (1997); Phys. Rev. B 56, 9630 (1997); A. V. Kolesnikov and K. B. Efetov, Waves Random Media 9, 71 (1999); Phys. Rev. Lett. 84, 5600 (2000) (cond-mat/0001263); J. Feinberg and A. Zee, Phys. Rev. E 59, 6433 (1999) (cond-mat/9706218); Nucl. Phys. B 552, 599 (1999) (cond-mat/9710040); E. Brézin and A. Zee, Nucl. Phys. B 509, 599 (1998) (cond-mat/9708029); C. Mudry, P. Brouwer, B. Halperin, V. Gurarie, and A. Zee, Phys. Rev. B 58, 13539 (1998); P. W. Brouwer, ibid. 57, 10526 (1998) (cond-mat/9711113); P. W. Brouwer, C. Mudry, B. D. Simons, and A. Altland, Phys. Rev. Lett. 81, 862 (1998) (cond-mat/9807189); C. Mudry, B. D. Simons, and A. Altlanld, Phys. Rev. Lett. 80, 4257 (1998) (cond-mat/9712103); R. A. Janik, M. A. Nowak, G. Papp, and I. Zahed, Acta Phys. Pol. B 30, 45 (1999) (cond-mat/9705098); I. Y. Goldsheid and B. A. Khoruzhenko, Phys. Rev. Lett. 80, 2897 (1998) (cond-mat/9707230); I. V. Yurkevich and I. V. Lerner, Phys. Rev. Lett. 82, 5080 (1999); P. W. Brouwer, P. G. Silvestrov, and C. W. J. Beenakker, Phys. Rev. Lett. 56, 4333 (1997) (cond-mat/9705186); P. G. Silvestrov, Phys. Rev. B 58, 10111 (1998) (cond-mat/9802219); Phys. Rev. Lett. 82, 3140 (1999) (cond-mat/9804093); cond-mat/0008118; B. Derrida, J. L. Jacobsen, and R. Zeitak, J. Stat. Phys. 98, 31 (2000) (cond-mat/9906235); G. M. Cicuta, M. Contedini, and L. Molinari, cond-mat/9907014; L. Molinari, J. Phys. A 31, 8553 (1998); J. Miller and Z. J. Wang, Phys. Rev. Lett. 76, 1461 (1996); J. T. Chalker and Z. Jane Wang, ibid. 79, 1797 (1997); Phys. Rev. E 61, 196 (2000); V. G. Benza, cond-mat/0006029; G. C. Ferrario and V. G. Benza, J. Phys.: Condens. Matter 11, 7557 (1999) (cond-mat/9907011); A. V. Izyumov and B. D. Simons, Phys. Rev. Lett. 83, 4373 (1999) (cond-mat/9910163); Europhys. Lett. 45, 290 (1999) (cond-mat/9811260); A. V. Izyumov and K. V. Samokhin, J. Phys. A 32, 7843 (1999) (cond-mat/9909407); B. Mehlig and J. T. Chalker, J. Math. Phys. 41, 3233 (2000) (cond-mat/9906279); Phys. Rev. Lett. 81, 3367 (1998) (cond-mat/9809090); Ann. Phys. (Berlin) 7, 427 (1998); R. A. Janik, W. Noerenberg, M. A. Nowak, G. Papp, and I. Zahed, Phys. Rev. E 60, 2699 (1999) (cond-mat;9902314); S. Hikami and R. Pnini, J. Phys. A 31, L587 (1998) (cond-mat/9806254); A. Sedrakyan, Nucl. Phys. B 554, 554 (1999) (cond-mat/9806301); A. A. Andrianov, F. Cannata, J. P. Dedonder, and M. V. Ioffe, Int. J. Mod. Phys. A 14, 2675 (1999) (quant-ph/9806019); F. Cannata, G. Junker, and J. Trost, Phys. Lett. A 246, 219 (1998) (quant-ph/9805085); X.-B. Wang, L. C. Kwek, and C. H. Oh, Phys. Lett. A 259, 7 (1999).
59. F. Haake, F. Izrailev, N. Lehmann, D. Saher, and H. J. Sommers, Z. Phys. B: Condens. Matter 88, 359 (1992); H. J. Sommers, A. Crisanti, H. Sompolinsky, and Y. Stein, Phys. Rev. Lett. 60, 1895 (1988); M. A. Stephanov, ibid. 76, 4472 (1996); M. A. Halasz, A. D Jackson, and J. J. M. Verbaarschot, Phys. Rev. D 56, 5140 (1997); M. A. Halasz, J. C. Osborn, and J. J. M. Verbaarschot, ibid. 56, 7059 (1997); M. A. Halasz, A. D. Jackson, R. E. Shrock, M. A. Stephanov, and J. J. M. Verbaarschot, ibid. 58, 096007 (1998) (hep-ph/9804290); T. Guhr and T. Wettig, Nucl. Phys. B 506, 589 (1997) (hep-th/9704055); H. Markum, R. Pullirsch, and T. Wettig, Phys. Rev. Lett. 83, 484 (1999) (hep-lat/9906020); R. A. Janik, M. A. Nowak, G. Papp, and I. Zahed, Phys. Rev. Lett. 77, 4876 (1996); E. Gudowska-Nowak, G. Papp, and J. Brickmann, preprint cond-mat/9701187; Y. V. Fyodorov, B. A. Khoruzhenko, and H.-J. Sommers, Phys. Rev. Lett. 79, 557 (1997); Phys. Lett. A 226, 46 (1997); Ann. Inst. H. Poincare, Sect. A 68, 449 (1998); H.-J. Sommers, Yan V. Fyodorov, and M. Titov, J. Phys. A 32, L77 (1999) (chao-dyn/9807015); B. A. Khoruzhenko, J. Phys. A 29, L165 (1996); N. Hatano and D. R. Nelson, Phys. Rev. Lett. 77, 570 (1997) (cond-mat/9603165); Phys. Rev. B 56, 8651 (1997) (cond-mat/9705290); Phys. Rev. B 58, 8384 (1998) (cond-mat/9805195); D. R. Nelson and N. M. Shnerb, cond-mat/9708071; Phys. Rev. Lett. 80, 5172 (1998) (cond-mat/9801111); R. A. Lehrer and D. R. Nelson, Phys. Rev. B 58, 12385 (1998) (cond-mat/9806016); K. A. Dahmen, D. R. Nelson, and N. M. Shnerb, cond-mat/9903276; K. B. Efetov, Phys. Rev. Lett. 79, 491 (1997); Phys. Rev. B 56, 9630 (1997); A. V. Kolesnikov and K. B. Efetov, Waves Random Media 9, 71 (1999); Phys. Rev. Lett. 84, 5600 (2000) (cond-mat/0001263); J. Feinberg and A. Zee, Phys. Rev. E 59, 6433 (1999) (cond-mat/9706218); Nucl. Phys. B 552, 599 (1999) (cond-mat/9710040); E. Brézin and A. Zee, Nucl. Phys. B 509, 599 (1998) (cond-mat/9708029); C. Mudry, P. Brouwer, B. Halperin, V. Gurarie, and A. Zee, Phys. Rev. B 58, 13539 (1998); P. W. Brouwer, ibid. 57, 10526 (1998) (cond-mat/9711113); P. W. Brouwer, C. Mudry, B. D. Simons, and A. Altland, Phys. Rev. Lett. 81, 862 (1998) (cond-mat/9807189); C. Mudry, B. D. Simons, and A. Altlanld, Phys. Rev. Lett. 80, 4257 (1998) (cond-mat/9712103); R. A. Janik, M. A. Nowak, G. Papp, and I. Zahed, Acta Phys. Pol. B 30, 45 (1999) (cond-mat/9705098); I. Y. Goldsheid and B. A. Khoruzhenko, Phys. Rev. Lett. 80, 2897 (1998) (cond-mat/9707230); I. V. Yurkevich and I. V. Lerner, Phys. Rev. Lett. 82, 5080 (1999); P. W. Brouwer, P. G. Silvestrov, and C. W. J. Beenakker, Phys. Rev. Lett. 56, 4333 (1997) (cond-mat/9705186); P. G. Silvestrov, Phys. Rev. B 58, 10111 (1998) (cond-mat/9802219); Phys. Rev. Lett. 82, 3140 (1999) (cond-mat/9804093); cond-mat/0008118; B. Derrida, J. L. Jacobsen, and R. Zeitak, J. Stat. Phys. 98, 31 (2000) (cond-mat/9906235); G. M. Cicuta, M. Contedini, and L. Molinari, cond-mat/9907014; L. Molinari, J. Phys. A 31, 8553 (1998); J. Miller and Z. J. Wang, Phys. Rev. Lett. 76, 1461 (1996); J. T. Chalker and Z. Jane Wang, ibid. 79, 1797 (1997); Phys. Rev. E 61, 196 (2000); V. G. Benza, cond-mat/0006029; G. C. Ferrario and V. G. Benza, J. Phys.: Condens. Matter 11, 7557 (1999) (cond-mat/9907011); A. V. Izyumov and B. D. Simons, Phys. Rev. Lett. 83, 4373 (1999) (cond-mat/9910163); Europhys. Lett. 45, 290 (1999) (cond-mat/9811260); A. V. Izyumov and K. V. Samokhin, J. Phys. A 32, 7843 (1999) (cond-mat/9909407); B. Mehlig and J. T. Chalker, J. Math. Phys. 41, 3233 (2000) (cond-mat/9906279); Phys. Rev. Lett. 81, 3367 (1998) (cond-mat/9809090); Ann. Phys. (Berlin) 7, 427 (1998); R. A. Janik, W. Noerenberg, M. A. Nowak, G. Papp, and I. Zahed, Phys. Rev. E 60, 2699 (1999) (cond-mat;9902314); S. Hikami and R. Pnini, J. Phys. A 31, L587 (1998) (cond-mat/9806254); A. Sedrakyan, Nucl. Phys. B 554, 554 (1999) (cond-mat/9806301); A. A. Andrianov, F. Cannata, J. P. Dedonder, and M. V. Ioffe, Int. J. Mod. Phys. A 14, 2675 (1999) (quant-ph/9806019); F. Cannata, G. Junker, and J. Trost, Phys. Lett. A 246, 219 (1998) (quant-ph/9805085); X.-B. Wang, L. C. Kwek, and C. H. Oh, Phys. Lett. A 259, 7 (1999).
60. R. A. Janik, M. A. Nowak, G. Papp, and I. Zahed, Nucl. Phys. B 501, 603 (1997); R. A. Janik, M. A. Nowak, G. Papp, J. Wambach, and I. Zahed, Phys. Rev. E 55, 4100 (1997).
61. R. A. Janik, M. A. Nowak, G. Papp, and I. Zahed, Nucl. Phys. B 501, 603 (1997); R. A. Janik, M. A. Nowak, G. Papp, J. Wambach, and I. Zahed, Phys. Rev. E 55, 4100 (1997).
62. J. Feinberg and A. Zee, Nucl. Phys. B 504, 579 (1997) (cond-mat/9703087).
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64. J. J. M. Verbaarschot and T. Wettig, Annu. Rev. Nucl. Part. Sci. 50, 343 (2000) (hep-ph/0003017); D. Toublan and J. J. M. Verbaarschot, hep-th/0001110; J. J. M. Verbaarschot, hep-ph/9902394; hep-th/9807070; Nucl. Phys. A 642, 305 (1998) (hep-ph/9807296); hep-th/9710114; hep-th/9709032; R. A. Janik, M. A. Nowak, G. Papp, and I. Zahed, "Green's functions in nonhermitian random matrix models," cond-mat/9909085; Acta Phys. Polon. B 28, 2949 (1997) (hep-th/9710103); hep-ph/9806370; hep-ph/9708418; A. Zee, Physica A 254, 300 (1998) (cond-mat/9711114); N. Hatano, Physica A 254, 317 (1998)
65. J. J. M. Verbaarschot and T. Wettig, Annu. Rev. Nucl. Part. Sci. 50, 343 (2000) (hep-ph/0003017); D. Toublan and J. J. M. Verbaarschot, hep-th/0001110; J. J. M. Verbaarschot, hep-ph/9902394; hep-th/9807070; Nucl. Phys. A 642, 305 (1998) (hep-ph/9807296); hep-th/9710114; hep-th/9709032; R. A. Janik, M. A. Nowak, G. Papp, and I. Zahed, "Green's functions in nonhermitian random matrix models," cond-mat/9909085; Acta Phys. Polon. B 28, 2949 (1997) (hep-th/9710103); hep-ph/9806370; hep-ph/9708418; A. Zee, Physica A 254, 300 (1998) (cond-mat/9711114); N. Hatano, Physica A 254, 317 (1998) (cond-mat/9801283); Y. V. Fyodorov, "Almost-Hermitian random matrices: Applications to the theory of quantum chaotic scattering and beyond," in Supersymmetry and Trace Formulas: Chaos and Disorder, edited by J. Keating and I. Lerner (Kluwer/Plenum, New York 1999), p. 293.
66. J. J. M. Verbaarschot and T. Wettig, Annu. Rev. Nucl. Part. Sci. 50, 343 (2000) (hep-ph/0003017); D. Toublan and J. J. M. Verbaarschot, hep-th/0001110; J. J. M. Verbaarschot, hep-ph/9902394; hep-th/9807070; Nucl. Phys. A 642, 305 (1998) (hep-ph/9807296); hep-th/9710114; hep-th/9709032; R. A. Janik, M. A. Nowak, G. Papp, and I. Zahed, "Green's functions in nonhermitian random matrix models," cond-mat/9909085; Acta Phys. Polon. B 28, 2949 (1997) (hep-th/9710103); hep-ph/9806370; hep-ph/9708418; A. Zee, Physica A 254, 300 (1998) (cond-mat/9711114); N. Hatano, Physica A 254, 317 (1998) (cond-mat/9801283); Y. V. Fyodorov, "Almost-Hermitian random matrices: Applications to the theory of quantum chaotic scattering and beyond," in Supersymmetry and Trace Formulas: Chaos and Disorder, edited by J. Keating and I. Lerner (Kluwer/Plenum, New York 1999), p. 293.
67. J. J. M. Verbaarschot and T. Wettig, Annu. Rev. Nucl. Part. Sci. 50, 343 (2000) (hep-ph/0003017); D. Toublan and J. J. M. Verbaarschot, hep-th/0001110; J. J. M. Verbaarschot, hep-ph/9902394; hep-th/9807070; Nucl. Phys. A 642, 305 (1998) (hep-ph/9807296); hep-th/9710114; hep-th/9709032; R. A. Janik, M. A. Nowak, G. Papp, and I. Zahed, "Green's functions in nonhermitian random matrix models," cond-mat/9909085; Acta Phys. Polon. B 28, 2949 (1997) (hep-th/9710103); hep-ph/9806370; hep-ph/9708418; A. Zee, Physica A 254, 300 (1998) (cond-mat/9711114); N. Hatano, Physica A 254, 317 (1998) (cond-mat/9801283); Y. V. Fyodorov, "Almost-Hermitian random matrices: Applications to the theory of quantum chaotic scattering and beyond," in Supersymmetry and Trace Formulas: Chaos and Disorder, edited by J. Keating and I. Lerner (Kluwer/Plenum, New York 1999), p. 293.
68. J. J. M. Verbaarschot and T. Wettig, Annu. Rev. Nucl. Part. Sci. 50, 343 (2000) (hep-ph/0003017); D. Toublan and J. J. M. Verbaarschot, hep-th/0001110; J. J. M. Verbaarschot, hep-ph/9902394; hep-th/9807070; Nucl. Phys. A 642, 305 (1998) (hep-ph/9807296); hep-th/9710114; hep-th/9709032; R. A. Janik, M. A. Nowak, G. Papp, and I. Zahed, "Green's functions in nonhermitian random matrix models," cond-mat/9909085; Acta Phys. Polon. B 28, 2949 (1997) (hep-th/9710103); hep-ph/9806370; hep-ph/9708418; A. Zee, Physica A 254, 300 (1998) (cond-mat/9711114); N. Hatano, Physica A 254, 317 (1998) (cond-mat/9801283); Y. V. Fyodorov, "Almost-Hermitian random matrices: Applications to the theory of quantum chaotic scattering and beyond," in Supersymmetry and Trace Formulas: Chaos and Disorder, edited by J. Keating and I. Lerner (Kluwer/Plenum, New York 1999), p. 293.
69. J. J. M. Verbaarschot and T. Wettig, Annu. Rev. Nucl. Part. Sci. 50, 343 (2000) (hep-ph/0003017); D. Toublan and J. J. M. Verbaarschot, hep-th/0001110; J. J. M. Verbaarschot, hep-ph/9902394; hep-th/9807070; Nucl. Phys. A 642, 305 (1998) (hep-ph/9807296); hep-th/9710114; hep-th/9709032; R. A. Janik, M. A. Nowak, G. Papp, and I. Zahed, "Green's functions in nonhermitian random matrix models," cond-mat/9909085; Acta Phys. Polon. B 28, 2949 (1997) (hep-th/9710103); hep-ph/9806370; hep-ph/9708418; A. Zee, Physica A 254, 300 (1998) (cond-mat/9711114); N. Hatano, Physica A 254, 317 (1998) (cond-mat/9801283); Y. V. Fyodorov, "Almost-Hermitian random matrices: Applications to the theory of quantum chaotic scattering and beyond," in Supersymmetry and Trace Formulas: Chaos and Disorder, edited by J. Keating and I. Lerner (Kluwer/Plenum, New York 1999), p. 293.
70. J. J. M. Verbaarschot and T. Wettig, Annu. Rev. Nucl. Part. Sci. 50, 343 (2000) (hep-ph/0003017); D. Toublan and J. J. M. Verbaarschot, hep-th/0001110; J. J. M. Verbaarschot, hep-ph/9902394; hep-th/9807070; Nucl. Phys. A 642, 305 (1998) (hep-ph/9807296); hep-th/9710114; hep-th/9709032; R. A. Janik, M. A. Nowak, G. Papp, and I. Zahed, "Green's functions in nonhermitian random matrix models," cond-mat/9909085; Acta Phys. Polon. B 28, 2949 (1997) (hep-th/9710103); hep-ph/9806370; hep-ph/9708418; A. Zee, Physica A 254, 300 (1998) (cond-mat/9711114); N. Hatano, Physica A 254, 317 (1998) (cond-mat/9801283); Y. V. Fyodorov, "Almost-Hermitian random matrices: Applications to the theory of quantum chaotic scattering and beyond," in Supersymmetry and Trace Formulas: Chaos and Disorder, edited by J. Keating and I. Lerner (Kluwer/Plenum, New York 1999), p. 293.
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85. (2)(z). Finally, we denote |z| = r.
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88. There are many papers on chiral matrices. A partial list which concentrates on Gaussian ensembles: J. J. M. Verbaarschot, Nucl. Phys. B 426, 559 (1994); J. J. M. Verbaarschot and I. Zahed, Phys. Rev. Lett. 70, 3852 (1993); K. Slevin and T. Nagao, ibid. 70, 635 (1993); Phys. Rev. B 50, 2380 (1994); T. Nagao and K. Slevin, J. Math. Phys. 34, 2075, 2317 (1993); T. Nagao and P. J. Forrester, Nucl. Phys. B 435, (FS) 401 (1995); A. V. Andreev, B. D. Simons, and N. Taniguchi, ibid. 432, 485 (1994); S. Hikami and A. Zee, ibid. 446, 337 (1995); S. Hikami, M. Shirai, and F. Wegner, ibid. 408, 415 (1993); C. B. Hanna, D. P. Arovas, K. Mullen, and S. M. Girvin, cond-mat/9412102.
89. There are many papers on chiral matrices. A partial list which concentrates on Gaussian ensembles: J. J. M. Verbaarschot, Nucl. Phys. B 426, 559 (1994); J. J. M. Verbaarschot and I. Zahed, Phys. Rev. Lett. 70, 3852 (1993); K. Slevin and T. Nagao, ibid. 70, 635 (1993); Phys. Rev. B 50, 2380 (1994); T. Nagao and K. Slevin, J. Math. Phys. 34, 2075, 2317 (1993); T. Nagao and P. J. Forrester, Nucl. Phys. B 435, (FS) 401 (1995); A. V. Andreev, B. D. Simons, and N. Taniguchi, ibid. 432, 485 (1994); S. Hikami and A. Zee, ibid. 446, 337 (1995); S. Hikami, M. Shirai, and F. Wegner, ibid. 408, 415 (1993); C. B. Hanna, D. P. Arovas, K. Mullen, and S. M. Girvin, cond-mat/9412102.
90. There are many papers on chiral matrices. A partial list which concentrates on Gaussian ensembles: J. J. M. Verbaarschot, Nucl. Phys. B 426, 559 (1994); J. J. M. Verbaarschot and I. Zahed, Phys. Rev. Lett. 70, 3852 (1993); K. Slevin and T. Nagao, ibid. 70, 635 (1993); Phys. Rev. B 50, 2380 (1994); T. Nagao and K. Slevin, J. Math. Phys. 34, 2075, 2317 (1993); T. Nagao and P. J. Forrester, Nucl. Phys. B 435, (FS) 401 (1995); A. V. Andreev, B. D. Simons, and N. Taniguchi, ibid. 432, 485 (1994); S. Hikami and A. Zee, ibid. 446, 337 (1995); S. Hikami, M. Shirai, and F. Wegner, ibid. 408, 415 (1993); C. B. Hanna, D. P. Arovas, K. Mullen, and S. M. Girvin, cond-mat/9412102.
91. There are many papers on chiral matrices. A partial list which concentrates on Gaussian ensembles: J. J. M. Verbaarschot, Nucl. Phys. B 426, 559 (1994); J. J. M. Verbaarschot and I. Zahed, Phys. Rev. Lett. 70, 3852 (1993); K. Slevin and T. Nagao, ibid. 70, 635 (1993); Phys. Rev. B 50, 2380 (1994); T. Nagao and K. Slevin, J. Math. Phys. 34, 2075, 2317 (1993); T. Nagao and P. J. Forrester, Nucl. Phys. B 435, (FS) 401 (1995); A. V. Andreev, B. D. Simons, and N. Taniguchi, ibid. 432, 485 (1994); S. Hikami and A. Zee, ibid. 446, 337 (1995); S. Hikami, M. Shirai, and F. Wegner, ibid. 408, 415 (1993); C. B. Hanna, D. P. Arovas, K. Mullen, and S. M. Girvin, cond-mat/9412102.
92. There are many papers on chiral matrices. A partial list which concentrates on Gaussian ensembles: J. J. M. Verbaarschot, Nucl. Phys. B 426, 559 (1994); J. J. M. Verbaarschot and I. Zahed, Phys. Rev. Lett. 70, 3852 (1993); K. Slevin and T. Nagao, ibid. 70, 635 (1993); Phys. Rev. B 50, 2380 (1994); T. Nagao and K. Slevin, J. Math. Phys. 34, 2075, 2317 (1993); T. Nagao and P. J. Forrester, Nucl. Phys. B 435, (FS) 401 (1995); A. V. Andreev, B. D. Simons, and N. Taniguchi, ibid. 432, 485 (1994); S. Hikami and A. Zee, ibid. 446, 337 (1995); S. Hikami, M. Shirai, and F. Wegner, ibid. 408, 415 (1993); C. B. Hanna, D. P. Arovas, K. Mullen, and S. M. Girvin, cond-mat/9412102.
93. There are many papers on chiral matrices. A partial list which concentrates on Gaussian ensembles: J. J. M. Verbaarschot, Nucl. Phys. B 426, 559 (1994); J. J. M. Verbaarschot and I. Zahed, Phys. Rev. Lett. 70, 3852 (1993); K. Slevin and T. Nagao, ibid. 70, 635 (1993); Phys. Rev. B 50, 2380 (1994); T. Nagao and K. Slevin, J. Math. Phys. 34, 2075, 2317 (1993); T. Nagao and P. J. Forrester, Nucl. Phys. B 435, (FS) 401 (1995); A. V. Andreev, B. D. Simons, and N. Taniguchi, ibid. 432, 485 (1994); S. Hikami and A. Zee, ibid. 446, 337 (1995); S. Hikami, M. Shirai, and F. Wegner, ibid. 408, 415 (1993); C. B. Hanna, D. P. Arovas, K. Mullen, and S. M. Girvin, cond-mat/9412102.
94. There are many papers on chiral matrices. A partial list which concentrates on Gaussian ensembles: J. J. M. Verbaarschot, Nucl. Phys. B 426, 559 (1994); J. J. M. Verbaarschot and I. Zahed, Phys. Rev. Lett. 70, 3852 (1993); K. Slevin and T. Nagao, ibid. 70, 635 (1993); Phys. Rev. B 50, 2380 (1994); T. Nagao and K. Slevin, J. Math. Phys. 34, 2075, 2317 (1993); T. Nagao and P. J. Forrester, Nucl. Phys. B 435, (FS) 401 (1995); A. V. Andreev, B. D. Simons, and N. Taniguchi, ibid. 432, 485 (1994); S. Hikami and A. Zee, ibid. 446, 337 (1995); S. Hikami, M. Shirai, and F. Wegner, ibid. 408, 415 (1993); C. B. Hanna, D. P. Arovas, K. Mullen, and S. M. Girvin, cond-mat/9412102.
95. There are many papers on chiral matrices. A partial list which concentrates on Gaussian ensembles: J. J. M. Verbaarschot, Nucl. Phys. B 426, 559 (1994); J. J. M. Verbaarschot and I. Zahed, Phys. Rev. Lett. 70, 3852 (1993); K. Slevin and T. Nagao, ibid. 70, 635 (1993); Phys. Rev. B 50, 2380 (1994); T. Nagao and K. Slevin, J. Math. Phys. 34, 2075, 2317 (1993); T. Nagao and P. J. Forrester, Nucl. Phys. B 435, (FS) 401 (1995); A. V. Andreev, B. D. Simons, and N. Taniguchi, ibid. 432, 485 (1994); S. Hikami and A. Zee, ibid. 446, 337 (1995); S. Hikami, M. Shirai, and F. Wegner, ibid. 408, 415 (1993); C. B. Hanna, D. P. Arovas, K. Mullen, and S. M. Girvin, cond-mat/9412102.
96. There are many papers on chiral matrices. A partial list which concentrates on Gaussian ensembles: J. J. M. Verbaarschot, Nucl. Phys. B 426, 559 (1994); J. J. M. Verbaarschot and I. Zahed, Phys. Rev. Lett. 70, 3852 (1993); K. Slevin and T. Nagao, ibid. 70, 635 (1993); Phys. Rev. B 50, 2380 (1994); T. Nagao and K. Slevin, J. Math. Phys. 34, 2075, 2317 (1993); T. Nagao and P. J. Forrester, Nucl. Phys. B 435, (FS) 401 (1995); A. V. Andreev, B. D. Simons, and N. Taniguchi, ibid. 432, 485 (1994); S. Hikami and A. Zee, ibid. 446, 337 (1995); S. Hikami, M. Shirai, and F. Wegner, ibid. 408, 415 (1993); C. B. Hanna, D. P. Arovas, K. Mullen, and S. M. Girvin, cond-mat/9412102.
97. There are many papers on chiral matrices. A partial list which concentrates on Gaussian ensembles: J. J. M. Verbaarschot, Nucl. Phys. B 426, 559 (1994); J. J. M. Verbaarschot and I. Zahed, Phys. Rev. Lett. 70, 3852 (1993); K. Slevin and T. Nagao, ibid. 70, 635 (1993); Phys. Rev. B 50, 2380 (1994); T. Nagao and K. Slevin, J. Math. Phys. 34, 2075, 2317 (1993); T. Nagao and P. J. Forrester, Nucl. Phys. B 435, (FS) 401 (1995); A. V. Andreev, B. D. Simons, and N. Taniguchi, ibid. 432, 485 (1994); S. Hikami and A. Zee, ibid. 446, 337 (1995); S. Hikami, M. Shirai, and F. Wegner, ibid. 408, 415 (1993); C. B. Hanna, D. P. Arovas, K. Mullen, and S. M. Girvin, cond-mat/9412102.
98. G. M. Cicuta and E. Montaldi, Phys. Rev. D 29, 1267 (1984); A. Barbieri, G. M. Cicuta, and E. Montaldi, Nuovo Cimento A 84, 173 (1984); C. M. Canali, G. M. Cicuta, L. Molinari, and E. Montaldi, Nucl. Phys. B 265, 485 (1986); G. M. Cicuta, L. Molinari, E. Montaldi, and F. Riva, J. Math. Phys. 28, 1716 (1987).
99. G. M. Cicuta and E. Montaldi, Phys. Rev. D 29, 1267 (1984); A. Barbieri, G. M. Cicuta, and E. Montaldi, Nuovo Cimento A 84, 173 (1984); C. M. Canali, G. M. Cicuta, L. Molinari, and E. Montaldi, Nucl. Phys. B 265, 485 (1986); G. M. Cicuta, L. Molinari, E. Montaldi, and F. Riva, J. Math. Phys. 28, 1716 (1987).
100. G. M. Cicuta and E. Montaldi, Phys. Rev. D 29, 1267 (1984); A. Barbieri, G. M. Cicuta, and E. Montaldi, Nuovo Cimento A 84, 173 (1984); C. M. Canali, G. M. Cicuta, L. Molinari, and E. Montaldi, Nucl. Phys. B 265, 485 (1986); G. M. Cicuta, L. Molinari, E. Montaldi, and F. Riva, J. Math. Phys. 28, 1716 (1987).
101. G. M. Cicuta and E. Montaldi, Phys. Rev. D 29, 1267 (1984); A. Barbieri, G. M. Cicuta, and E. Montaldi, Nuovo Cimento A 84, 173 (1984); C. M. Canali, G. M. Cicuta, L. Molinari, and E. Montaldi, Nucl. Phys. B 265, 485 (1986); G. M. Cicuta, L. Molinari, E. Montaldi, and F. Riva, J. Math. Phys. 28, 1716 (1987).
102. J. Ambjørn, "Quantization of Geometry," in Les Houches, Session LXII (1994), "Fluctuating Geometries in Statistical Mechanics and Field Theory," edited by F. David, P. Ginsparg and J. Zinn-Justin (Elsevier, Amsterdam, 1996). See Section 4.3 and references therein; J. Ambjørn, J. Jurkiewicz, and Yu. M. Makeenko, Phys. Lett. B 251, 517 (1990); S. Nishigaki, ibid. 387, 139 (1996); G. Akemann, P. H. Damgaard, U. Magnea, and S. Nishigaki, Nucl. Phys. B 487, 721 (1997); ibid. 519, 682 (1998).
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104. J. Ambjørn, "Quantization of Geometry," in Les Houches, Session LXII (1994), "Fluctuating Geometries in Statistical Mechanics and Field Theory," edited by F. David, P. Ginsparg and J. Zinn-Justin (Elsevier, Amsterdam, 1996). See Section 4.3 and references therein; J. Ambjørn, J. Jurkiewicz, and Yu. M. Makeenko, Phys. Lett. B 251, 517 (1990); S. Nishigaki, ibid. 387, 139 (1996); G. Akemann, P. H. Damgaard, U. Magnea, and S. Nishigaki, Nucl. Phys. B 487, 721 (1997); ibid. 519, 682 (1998).
105. J. Ambjørn, "Quantization of Geometry," in Les Houches, Session LXII (1994), "Fluctuating Geometries in Statistical Mechanics and Field Theory," edited by F. David, P. Ginsparg and J. Zinn-Justin (Elsevier, Amsterdam, 1996). See Section 4.3 and references therein; J. Ambjørn, J. Jurkiewicz, and Yu. M. Makeenko, Phys. Lett. B 251, 517 (1990); S. Nishigaki, ibid. 387, 139 (1996); G. Akemann, P. H. Damgaard, U. Magnea, and S. Nishigaki, Nucl. Phys. B 487, 721 (1997); ibid. 519, 682 (1998).
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107. J. Ambjørn, "Quantization of Geometry," in Les Houches, Session LXII (1994), "Fluctuating Geometries in Statistical Mechanics and Field Theory," edited by F. David, P. Ginsparg and J. Zinn-Justin (Elsevier, Amsterdam, 1996). See Section 4.3 and references therein; J. Ambjørn, J. Jurkiewicz, and Yu. M. Makeenko, Phys. Lett. B 251, 517 (1990); S. Nishigaki, ibid. 387, 139 (1996); G. Akemann, P. H. Damgaard, U. Magnea, and S. Nishigaki, Nucl. Phys. B 487, 721 (1997); ibid. 519, 682 (1998).
108. R. C. Myers and V. Periwal, Nucl. Phys. B 390, 716 (1991); A. Anderson, R. C. Myers, and V. Periwal, Phys. Lett. B 254, 89 (1991); Nucl. Phys. B 360, 463 (1991).
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111. L.-L. Chau and Y. Yu, Phys. Lett. A 167, 452 (1992).
112. 2 (i.e., G = z*) corresponds to Ginibre's disk (Ref. 12), and γ=1 is the solution outside the disk.
113. 3.
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116. For more recent papers on matrix models with multicut egenvalue distribution see, e.g., G. Akemann, Nucl. Phys. B 482, 403 (1996) (hermitian matrices); 507, 475 (1997) (non-hermitian matrices), and references therein.
117. For more recent papers on matrix models with multicut egenvalue distribution see, e.g., G. Akemann, Nucl. Phys. B 482, 403 (1996) (hermitian matrices); 507, 475 (1997) (non-hermitian matrices), and references therein.
118. G. Bonnet, F. David, and B. Eynard, J. Phys. A 33, 6739 (2000); E. Kanzieper and V. Freilikher, Phys. Rev. E 57, 6604 (1998); N. Deo, Nucl. Phys. B 504, 609 (1997); E. Brézin and N. Deo, Phys. Rev. E 59, 3901 (1999).
119. G. Bonnet, F. David, and B. Eynard, J. Phys. A 33, 6739 (2000); E. Kanzieper and V. Freilikher, Phys. Rev. E 57, 6604 (1998); N. Deo, Nucl. Phys. B 504, 609 (1997); E. Brézin and N. Deo, Phys. Rev. E 59, 3901 (1999).
120. G. Bonnet, F. David, and B. Eynard, J. Phys. A 33, 6739 (2000); E. Kanzieper and V. Freilikher, Phys. Rev. E 57, 6604 (1998); N. Deo, Nucl. Phys. B 504, 609 (1997); E. Brézin and N. Deo, Phys. Rev. E 59, 3901 (1999).
121. G. Bonnet, F. David, and B. Eynard, J. Phys. A 33, 6739 (2000); E. Kanzieper and V. Freilikher, Phys. Rev. E 57, 6604 (1998); N. Deo, Nucl. Phys. B 504, 609 (1997); E. Brézin and N. Deo, Phys. Rev. E 59, 3901 (1999).