Short-range plasma model for intermediate spectral statistics

European Physical Journal B

Volumn 19, Issue 1, 2001, Pages 121-132

  Bogomolny, E ^a   Gerland, U ^b   Schmit, C ^a  

^a UNIVERSITÉ PARIS SUD   (France)

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

03.65.Sq Semiclassical theories and applications; 05.40. a Fluctuation phenomena, random processes, noise and Brownian motion; 05.45. a Nonlinear dynamics and nonlinear dynamical systems

Indexed keywords

EID: 0000429896     PISSN: 14346028     EISSN: None     Source Type: Journal    
DOI: 10.1007/s100510170357     Document Type: Article

References (27)

1. C.E. Porter, Statistical theories of spectra: fluctuations (Academic Press, New York, 1965).
2. M.L. Mehta, Random matrices, 2nd ed. (Academic Press, New York, 1991).
3. O. Bohigas in Chaos and Quantum Physics, Proceedings of the Les Houches Summer School of Theoretical Physics, 1989, edited by M.-J. Giannoni, A. Voros, J. Zinn-Justin (Elsevier, New York, 1991).
4. T. Guhr, A. Müller-Groeling, H.A. Weidenmüller, Phys. Rep. 299, 190 (1998).
5. E. Bogomolny, O. Bohigas, M.P. Pato, Phys. Rev. E 55, 6707 (1997).
6. B.I. Shklovskii et al., Phys. Rev. B 47, 11487 (1993).
7. Y.V. Fyodorov, A.D. Mirlin, Phys. Rev. B 55, R16001 (1997).
8. M.V. Berry, M. Tabor, Proc. R. Soc. London A 356, 375 (1977).
9. O. Bohigas, M.-J. Giannoni, C. Schmit, Phys. Rev. Lett. 52, 1 (1984); ibid. J. Phys. Lett. 45, L1015 (1984).
10. O. Bohigas, M.-J. Giannoni, C. Schmit, Phys. Rev. Lett. 52, 1 (1984); ibid. J. Phys. Lett. 45, L1015 (1984).
11. E. Bogomolny, U. Gerland, C. Schmit, Phys. Rev. E 59, R1315 (1999).
12. M. Gaudin, Nucl. Phys. 85, 545 (1966).
13. P.J. Forrester, Phys. Lett. A 173, 355 (1993).
14. F. Gürsey, Proc. Cambridge Phil. Soc. 46, 182 (1950).
15. L. van Hove, Physica 16, 137 (1950).
16. E.H. Lieb, D.C. Mattis, Mathematical Physics in One Dimension (Academic Press, New York, 1966).
17. H. Hernández-Saldaña, J. Flores, T.H. Seligman, Phys. Rev. E 60, 449 (1999).
18. J.T. Chalker, V.E. Kravtsov, I.V. Lerner, JETP Lett., 64, 386 (1996).
19. B. Al'tshuler, I.Kh. Zharekeshev, S.A. Kotochigova, B.I. Shklovskii, Sov. Phys. JETP, 67, 625 (1988).
20. P.J. Richens, M.V. Berry, Physica D 2, 495 (1981).
21. A. Shudo, Y. Shimizu, Phys. Rev. E 47, 54 (1993).
22. A. Shudo, Y. Shimizu, P. Šeba, J. Stein, H.J. Stöckmann, K. Zyczkowski, Phys. Rev. E 49, 3748 (1994).
23. T.A. Brody, Lett. Nuov. Cim. 7, 482 (1973).
24. T. Guhr, H.A. Weidenmüller, Ann. Phys. 193, 472 (1989).
25. V.E. Kravtsov, I.V. Lerner, J. Phys. A 28, 3623 (1995).
26. S.M. Nishigaki, Phys. Rev. E 59, 2853 (1999).
27. V.E. Kravtsov, A.M. Tsvelik, Phys. Rev. B 62, 9888 (2000), cond-mat/0002120.