Interpolating ensembles of random unitary matrices

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 53, Issue 1, 1996, Pages 319-326

  Życzkowski, Karol ^a   Kuś, Marek ^b  

^a JAGIELLONIAN UNIVERSITY   (Poland)

^b CENTER FOR THEORETICAL PHYSICS   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0008784145     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.53.319     Document Type: Article

References (28)

1. K. .Zyczkowski and M. Kuś, J. Phys. A 27, 4235 (1994).
2. F. J. Dyson, J. Math. Phys. 3, 140 (1962).
3. M. L. Mehta, Random Matrices, 2nd ed. (Academic Press, New York, 1990).
4. P. Pereyra and P. A. Mello, J. Phys. A 16, 237 (1983).
5. F. Haake, Quantum Signatures of Chaos (Springer, Berlin, 1991).
6. R. Blümel and U. Smilansky, Phys. Rev. Lett. 64, 241 (1990).
7. C. H. Lewenkopf and H. A. Weidenmüller, Ann. Phys. (N.Y.) 212, 53 (1991).
8. L. Markus and K. R. Meyer, Mem. Am. Math. Soc. 144, 1 (1974).
9. M. V. Berry and M. Robnik, J. Phys. A 17, 140 (1984).
10. G. Lenz and F. Haake, Phys. Rev. Lett. 67, 1 (1991).
11. A. Pandey and M. L. Mehta, Commun. Math. Phys. 87, 449 (1983).
12. R. Blümel and U. Smilansky, Phys. Rev. Lett. 69, 217 (1992).
13. G. Lenz and K. .Zyczkowski, J. Phys. A 25, 5539 (1992).
14. M. Gaudin, Nucl. Phys. 85, 545 (1966).
15. A. Pandey and P. Shukla, J. Phys. Math. A 24, 3907 (1991).
16. A. Hurwitz, Nachr. Ges. Wiss. Goettinger Math. Phys. Kl. 71, (1897).
17. T. A. Brody, J. Flores, J. B. French, P. A. Mello, A. Pandey, and S. S. M. Wong, Rev. Mod. Phys. 53, 385 (1981).
18. H. Hasegawa, J. Z. Ma and T. Takami (unpublished).
19. F.M. Izrailev, Phys. Rep. 196, 299 (1990).
20. C. E. Porter, Statistical Theories of Spectra: Fluctuations, edited by C. E. Porter (Academic Press, New York, 1965).
21. M. Kuś, J. Mostowski and F. Haake, J. Phys. A 21, L1037 (1988).
22. F. Haake and K. .Zyczkowski, Phys. Rev. A 42, 1013 (1990).
23. K. .Zyczkowski, M. Lewenstein, M. Kuś and F. Izrailev, Phys. Rev. A 45, 811 (1992).
24. K. R. W. Jones, J. Phys. A 23, L1247 (1990).
25. J. Spanier and K. B. Oldham, An Atlas of Functions (Hemisphere Publishing Corporation, Washington, 1987).
26. G. Casati, L. Molinari and F. Izrailev, Phys. Rev. Lett. 64, 1851 (1990).
27. K. .Zyczkowski and G. Lenz, Z. Phys. B 82, 299 (1991).
28. H. J. Sommers and S. Iida, Phys. Rev. E 49, R2513 (1994).