Quantum ergodicity and localization in conservative systems: The Wigner band random matrix model

Physics Letters, Section A: General, Atomic and Solid State Physics

Volumn 223, Issue 6, 1996, Pages 430-435

  Casati, G ^a,b   Chirikov, B V ^a,c   Guarneri, I ^a,b   Izrailev, F M ^a,c  

^a UNIVERSITY OF MILAN   (Italy)

^b INFN SEZIONE DI MILANO   (Italy)

^c BUDKER INSTITUTE OF NUCLEAR PHYSICS   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; QUANTUM OPTICS;

CLASSICAL LIMITS; CONSERVATIVE SYSTEMS; DENSITY OF STATE; GLOBAL STRUCTURE; NUMERICAL RESULTS; QUANTUM ERGODICITY; QUANTUM LOCALIZATION; WIGNER BAND RANDOM MATRIXES;

SPECTRAL DENSITY;

EID: 6144264590     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0375-9601(96)00784-0     Document Type: Article

References (17)

1. G. Casati, B.V. Chirikov, J. Ford and F.M. Izrailev, in: Lecture notes in physics, Vol. 93 (Springer, Berlin, 1979) p. 334 (also in Ref. [6]).
2. E. Wigner, Ann. Math. 62 (1955) 548; 65 (1957) 203.
3. E. Wigner, Ann. Math. 62 (1955) 548; 65 (1957) 203.
4. T. Brody, J. Flores, J. French, P. Mello, A. Pandey and S. Wong, Rev. Mod. Phys. 53 (1981) 385; M. Mehta, Random matrices (Academic Press, New York, 1991).
5. T. Brody, J. Flores, J. French, P. Mello, A. Pandey and S. Wong, Rev. Mod. Phys. 53 (1981) 385; M. Mehta, Random matrices (Academic Press, New York, 1991).
6. B.V. Chirikov, Phys. Lett. A 108 (1985) 68.
7. V.V. Flambaum, A.A. Gribakina, G.F. Gribakin and M.G. Kozlov, Phys. Rev. A 50 (1994) 267.
8. G. Casati and B.V. Chirikov, The legacy of chaos in quantum mechanics, in: Quantum chaos: between order and disorder, eds. G. Casati and B.V. Chirikov (Cambridge Univ. Press, Cambridge, 1995).
9. D.M. Leitner and M. Feingold, J. Phys. A 26 (1993) 7367.
10. M. Feingold, D.M. Leitner and O. Piro, Phys. Rev. A 39 (1989) 6507.
11. V.V. Flambaum, F.M. Izrailev and G. Casati, to appear in Phys. Rev. E (1996).
12. G. Casati, B.V. Chirikov, I. Guarneri and F.M. Izrailev, Phys. Rev. E 48 (1993) R1613.
13. G. Casati and B.V. Chirikov, Physica D 86 (1995) 220.
14. Y.V. Fyodorov, O.A. Chubykalo, F.M. Izrailev and G. Casati, Phys. Rev. Lett. 76 (1996) 1603.
15. M. Feingold, D. Leitner and M. Wilkinson, Phys. Rev. Lett. 66 (1991) 986; J. Phys. A 24 (1991) 1751.
16. M. Feingold, D. Leitner and M. Wilkinson, Phys. Rev. Lett. 66 (1991) 986; J. Phys. A 24 (1991) 1751.
17. A.I. Shnirelman, Usp. Mat. Nauk 30 (1975) 265.