Time-reversal symmetry breaking and the field theory of quantum chaos

Journal of Mathematical Physics

Volumn 38, Issue 4, 1997, Pages 1982-2006

  Simons, B D ^a   Agam, O ^b   Andreev, A V ^c  

^a UNIVERSITY OF CAMBRIDGE   (United Kingdom)

^b NEC LABORATORIES AMERICA   (United States)

^c UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031479363     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.531920     Document Type: Article

References (43)

1. Chaos in Quantum Physics, edited by M. -J. Jianonni, A. Voros, and J. Zinn-Justin, Les Houches, Session LII 1989 (North-Holland, Amsterdam, 1991).
2. B. A. Muzykantskii and D. E. Khmelnitskii, JETP Lett. 62, 76 (1995).
3. A. V. Andreev, O. Agam, B. D. Simons, and B. L. Altshuler, Phys. Rev. Lett. 76, 3947 (1996); A. V. Andreev, B. D. Simons, O. Agam, and B. L. Altshuler, to appear in Nucl. Phys. B
4. A. V. Andreev, O. Agam, B. D. Simons, and B. L. Altshuler, Phys. Rev. Lett. 76, 3947 (1996); A. V. Andreev, B. D. Simons, O. Agam, and B. L. Altshuler, to appear in Nucl. Phys. B
5. I. Aleiner and A. I. Larkin, "Divergence of the classical trajectories and weak localization," preprint cond-mat/960312; "Role of divergence of classical trajectories in quantum chaos," preprint cond-mat/9610034.
6. I. Aleiner and A. I. Larkin, "Divergence of the classical trajectories and weak localization," preprint cond-mat/960312; "Role of divergence of classical trajectories in quantum chaos," preprint cond-mat/9610034.
7. K. B. Efetov, Zh. Eksp. Teor. Fiz. 82, 872 (1982); 83, 833 (1982).
8. K. B. Efetov, Zh. Eksp. Teor. Fiz. 82, 872 (1982); 83, 833 (1982).
9. K. B. Efetov, Adv. Phys. 32, 53 (1983).
10. J. J. Verbaarschot, H. A. Weidenmuller, and M. R. Zirnbauer, Phys. Rep. 129, 367 (1985).
11. M. C. Gutzwiller, Chaos in Classical and Quantum Mechanics (Springer-Verlag, New York, 1990).
12. M. V. Berry, Proc. R. Soc. London Ser. A 400, 229 (1985).
13. N. Argaman, Y. Imry, and U. Smilansky, Phys. Rev. B 47, 4440 (1993).
14. B. L. Altshuler and B. D. Simons, in Proceedings of the 1994 Summer Session LXI, on "Mesoscopic Quantum Physics," at Les-Houches, Nato ASI, edited by E. Akkermans, G. Montambaux, J-L. Pichard, and J. Zinn-Justin.
15. E. Bogomolny and J. Keating, Phys. Rev. Lett. 77, 1472 (1996).
16. G. Bergmann, Phys. Rep. 107, 1 (1984).
17. P. A. Lee and T. V. Ramakrishnan, Rev. Mod. Phys. 57, 287 (1985).
18. S. Chakravarty and A. Schmid, Phys. Rep. 140, 193 (1986).
19. F. Wegner, Z. Phys. 25, 327 (1979); Z. Phys. B, 35, 207 (1979).
20. F. Wegner, Z. Phys. 25, 327 (1979); Z. Phys. B, 35, 207 (1979).
21. H. Levine, S. Libby, and A. A. M. Pruisken, Nucl. Phys. B 240, 30 (1985); 240, 49 (1985); 240, 71 (1985).
22. H. Levine, S. Libby, and A. A. M. Pruisken, Nucl. Phys. B 240, 30 (1985); 240, 49 (1985); 240, 71 (1985).
23. H. Levine, S. Libby, and A. A. M. Pruisken, Nucl. Phys. B 240, 30 (1985); 240, 49 (1985); 240, 71 (1985).
24. q see discussion below Eq. (24).
25. J. E. Moyal, Proc. Cambridge Philos. Soc. Math. Phys. Sci. 49, 99 (1949).
26. B. A. Muzykantskii and D. E. Khmelnitskii, "Nearly localised states in weakly disordered conductors. II. Beyond diffusion approximation," preprint cond-mat/9601045.
27. M. V. Berry and M. Robnik, J. Phys. A 19, 649 (1986).
28. A. Altland, S. Iida, and K. B. Efetov, J. Phys. A 26, 3545 (1993).
29. A. Pandey and M. L. Mehta, Commun. Math. Phys. 87, 449 (1983); M. L. Mehta and A. Pandey, J. Phys. A 16, 2655 (1983).
30. A. Pandey and M. L. Mehta, Commun. Math. Phys. 87, 449 (1983); M. L. Mehta and A. Pandey, J. Phys. A 16, 2655 (1983).
31. O. Bohigas, M. J. Giannoni, and C. Schmidt, Phys. Rev. Lett. 52, 1 (1984).
32. L. A. Bunimovich, Sov. Phys. JETP 62, 842 (1985).
33. D. Ruelle, Phys. Rev. Lett. 56, 405 (1986).
34. M. Pollicot, Ann. Math. 131, 331 (1990).
35. G. Nicolis and C. Nicolis, Phys. Rev. A. 38, 427 (1988).
36. H. H. Hasegawa and D. J. Driebe, Phys. Rev. E 50, 1781 (1994).
37. O. Agam, B. L. Altshuler, and A. V. Andreev, Phys. Rev. Lett. 75, 4389 (1995).
38. B. L. Altshuler and B. I. Shklovskii, JETP 64, 127 (1986).
39. A. V. Andreev and B. L. Altshuler, Phys. Rev. Lett. 75, 902 (1995).
40. A. V. Andreev, B. D. Simons, and B. L. Altshuler, J. Math. Phys. 37, 4968 (1996).
41. F. Haake, Quantum Signatures of Chaos (Springer-Verlag, Berlin, 1991).
42. D. Delande, in Proceedings of Les-Houches Summer School, Session LII, 1989, edited by M. -J. Giannoni, A. Voros, and J. Zinn-Justin (North-Holland, Amsterdam, 1991).
43. P. Cvitanović and B. Eckhardt, J. Phys. A 24, L237 (1991).