Transitions toward quantum chaos: With supersymmetry from poisson to Gauss

Annals of Physics

Volumn 250, Issue 1, 1996, Pages 145-192

  Guhr, Thomas ^a,b  

^a UNIVERSITY OF COPENHAGEN   (Denmark)

^b MAX PLANCK INSTITUT FÜR KERNPHYSIK   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030601274     PISSN: 00034916     EISSN: None     Source Type: Journal    
DOI: 10.1006/aphy.1996.0091     Document Type: Article

References (41)

1. 1. H. Friedrich and D. Wintgen, Phys. Rep. 183 (1989), 37 and references therein.
2. 2. O. Bohigas and M. J. Giannoni, Lect. Notes in Phys., Vol. 209, Springer-Verlag, Heidelberg, 1984.
3. 3. M. L. Mehta, "Random Matrices," 2nd ed., Academic Press, New York, 1991.
4. 4. M. C. Gutzwiller, "Chaos in Classical and Quantum Mechanics," Springer-Verlag, New York, 1990.
5. 5. F. Haake, Quantum Signatures of Chaos," Springer-Verlag, Berlin, 1991.
6. 6. A. Bohr and B. Mottelson, "Nuclear Structure," Benjamin, New York, 1969.
7. 7. T. Guhr and H. A. Weidenmüller, Ann. Phys. (N.Y.) 193 (1989), 472.
8. 8. C. Ellegaard, T. Guhr, K. Lindemann, H. Q. Lorensen, J. Nygård, and M. Oxborrow, Phys. Rev. Lett. 75 (1995), 1546.
9. 9. J. B. French, V. K. B. Kota, A. Pandey, and S. Tomsovic, Ann. Phys. (N.Y.) 181 (1988), 198.
10. 10. F. Leyvraz and T. H. Seligman, J. Phys. A 23 (1990), 1555;
11. F. Leyvraz, J. Phys. A 26 (1993), 6541.
12. 11. G. Lenz, Dissertation, Universität Essen, 1992.
13. 12. A. Pandey and M. L. Mehta, Commun. Math. Phys. 87 (1983), 449; M. L. Mehta and A. Pandey, J. Phys. A 16 (1983), 2655, L601.
14. 12. A. Pandey and M. L. Mehta, Commun. Math. Phys. 87 (1983), 449; M. L. Mehta and A. Pandey, J. Phys. A 16 (1983), 2655, L601.
15. 13. J. B. French, V. K. B. Kota, A. Pandey, and S. Tomsovic, Ann. Phys. (N.Y.) 181 (1988), 235.
16. 14. G. E. Mitchell, E. G. Bilpuch, P. M. Endt, and F. J. Shriner, Phys. Rev. Lett. 61 (1988), 1473.
17. 15. T. Guhr and H. A. Weidenmüller, Ann. Phys. (N.Y.) 199 (1990), 412.
18. 16. K. B. Efetov, Adv. Phys. 32 (1983), 53.
19. 17. J. J. M. Verbaarschot, H. A. Weidenmüller, and M. R. Zirnbauer, Phys. Rep. 129 (1985), 367.
20. 18. T. Guhr, J. Math. Phys. 32 (1991), 336.
21. 19. J. Alfaro, R. Medina, and L. Urrutia, J. Math. Phys. 36 (1995), 3085.
22. 20. T. Guhr, Commun. Math. Phys. 176 (1996), 555.
23. 21. A. Pandey, Ann. Phys. (N.Y.) 134 (1981), 110.
24. 22. Harish-Chandra, Amer. J. Math. 80 (1958), 241.
25. 23. C. Itzykson and J. B. Zuber, J. Math. Phys. 21 (1980), 411.
26. 24. M. J. Rothstein, Trans. Amer. Math. Soc. 299 (1987), 387.
27. 25. F. Constantinescu and H. F. Groote, J. Math. Phys. 30 (1989), 981.
28. 26. T. Guhr, Nucl. Phys. A 560 (1993), 223.
29. 27. L. A. Pastur, Teor. Mat. Fis. 10 (1972), 102.
30. 28. F. J. Dyson, J. Math. Phys. 3 (1962), 1191.
31. 29. E. Brezin and A. Zee, Nucl. Phys. B 402 (1993), 613.
32. 30. G. Hackenbroich and H. A. Weidenmüller, Phys. Rev. Lett. 74 (1995), 4118.
33. 31. F. M. Izrailev, Phys. Rep. 129 (1990), 299.
34. 32. Y. V. Fyodorov and A. D. Mirlin, Phys. Rev. Lett. 67 (1991), 2405.
35. 33. S. Iida, H. A. Weidenmüller, and J. Zuk, Ann. Phys. (N.Y.) 200 (1990), 219.
36. 34. M. R. Zirnbauer, Phys. Rev. Lett. 69 (1992), 1584.
37. 35. M. Moshe, H. Neuberger, and B. Shapiro, Phys. Rev. Lett. 73 (1994), 1497.
38. 36. T. Guhr, J. Math. Phys. 34 (1993), 2523.
39. 37. T. Guhr, J. Math. Phys. 34 (1993), 2541.
40. 38. I. S. Gradshteyn and I. M. Ryzhik, "Table of Integrals, Series and Products," Academic Press, San Diego, 1980.
41. 39. G. N Watson, "Theory of Bessel Functions," 2nd ed., Univ. Press, Cambridge, 1962.