Random matrix elements and eigenfunctions in chaotic systems

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

Volumn 57, Issue 6, 1998, Pages 7313-7316

  Hortikar, Sanjay ^a   Srednicki, Mark ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CHAOS THEORY; CORRELATION METHODS; EIGENVALUES AND EIGENFUNCTIONS; MATHEMATICAL OPERATORS; MATRIX ALGEBRA;

CHAOTIC SYSTEMS; GAUSSIAN RANDOM VARIABLES; RANDOM MATRIX ELEMENT; WEYL SYMBOLS;

NONLINEAR SYSTEMS;

EID: 0032084156     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.57.7313     Document Type: Article

References (32)

1. Chaos and Quantum Physics, Les Houches Summer School Session LII, edited by M.-J. Giannoni, A. Voros, and J. Zinn-Justin (North-Holland, Amsterdam, 1991).
2. Quantum Chaos, edited by G. Casati and B. Chirikov (Cambridge University Press, New York, 1995).
3. E. Austin and M. Wilkinson, Europhys. Lett. 20, 589 (1992).
4. M. V. Berry, J. Phys. A 10, 2083 (1977).
5. S. Hortikar and M. Srednicki, Phys. Rev. Lett. 80, 1646 (1998).
6. M. Feingold and A. Peres, Phys. Rev. A 34, 591 (1986).
7. M. Wilkinson, J. Phys. A 20, 2415 (1987).
8. T. Prosen, Ann. Phys. (N.Y.) 235, 115 (1994).
9. A. I. Shnirelman, Usp. Mat. Nauk 29, 181 (1974).
10. S. Zelditch, Duke Math. J. 55, 919 (1987).
11. Y. Colin de Verdière, Commun. Math. Phys. 102, 497 (1985).
12. B. Helffer, A. Martinez, and D. Robert, Commun. Math. Phys. 109, 313 (1987).
13. S. Zelditch and M. Zworski, Commun. Math. Phys. 175, 673 (1996).
14. A. Bäcker, R. Schubert, and P. Stifter, e-print chao-dyn/9709030.
15. M. Srednicki, Phys. Rev. E 50, 888 (1994).
16. B. Eckhardt, S. Fishman, J. Keating, O. Agam, J. Main, and K. Müller, Phys. Rev. E 52, 5893 (1995).
17. M. Srednicki and F. Stiernelof, J. Phys. A 29, 5817 (1996).
18. P. O’Connor, J. Gehlen, and E. J. Heller, Phys. Rev. Lett. 58, 1296 (1987).
19. V. N. Prigodin, K. B. Efetov, and S. Idia, Phys. Rev. Lett. 71, 1230 (1993).
20. V. N. Prigodin, B. L. Altshuler, K. B. Efetov, and S. Idia, Phys. Rev. Lett. 72, 546 (1994).
21. V. N. Prigodin, Phys. Rev. Lett. 74, 1566 (1995).
22. V. N. Prigodin, N. Taniguchi, A. Kudrolli, V. Kidambi, and S. Sridhar, Phys. Rev. Lett. 75, 2392 (1995).
23. Y. Alhassid and C. H. Lewenkopf, Phys. Rev. Lett. 75, 3922 (1995).
24. M. Srednicki, Phys. Rev. E 54, 954 (1996).
25. M. V. Berry, Proc. R. Soc. London, Ser. A 400, 229 (1985).
26. M. C. Gutzwiller, J. Math. Phys. 8, 1979 (1967).
27. M. Wilkinson, J. Phys. A 21, 1173 (1988).
28. B. Eckhardt and J. Main, Phys. Rev. Lett. 75, 2300 (1995).
29. M. C. Gutzwiller, J. Math. Phys. 10, 1004 (1969); JMAPAQ
30. J. Math. Phys.M. C. Gutzwiller 11, 1791 (1970)
31. J. Math. Phys.M. C. Gutzwiller 12, 343 (1971).
32. B. Eckhardt, S. Fishman, K. Müller, and D. Wintgen, Phys. Rev. A 45, 3531 (1992). PLRAAN