Quantum-classical correspondence of entropy contours in the transition to chaos

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

Volumn 57, Issue 5, 1998, Pages 5467-5471

  Zarum, Raphael ^a   Sarkar, Sarben ^a  

^a KING'S COLLEGE LONDON   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 4243731040     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.57.5467     Document Type: Article

References (30)

1. J. Ford, G. Mantica, and G. H. Ristow, Physica D 50, 493 (1991).
2. R. Schack and C. M. Caves, Phys. Rev. E 53, 3387 (1996).
3. L. E. Reichl, The Transition to Chaos in Conservative Classical Systems: Quantum Manifestations (Springer-Verlag, Berlin, 1992).
4. M. V. Berry, in Chaotic Behaviour in Deterministic Systems, Les Houches XXXVI, edited by G. Iooss, R. H. G. Hellman, and R. Stora (North-Holland, Amsterdam, 1991).
5. F. Haake, Quantum Signatures of Chaos (Springer-Verlag, Berlin, 1991).
6. M. C. Gutzwiller, Chaos in Classical and Quantum Mechanics (Springer-Verlag, New York, 1990).
7. M. Tabor, Chaos and Integrability in Nonlinear Dynamics: An Introduction (Wiley, New York, 1989).
8. W. Słomczyński and K. Życzkowski, J. Math. Phys. 35, 5674 (1994); JMAPAQ
9. S. Klimek and A. Leśniewski, Ann. Phys. (N.Y.) 248, 173 (1996).
10. R. Schack and C. M. Caves, Phys. Rev. E 53, 3257 (1996).
11. W. H. Zurek and J. P. Paz, Phys. Rev. Lett. 72, 2508 (1994).
12. W. H. Zurek and J. P. Paz, Physica D 83, 300 (1995).
13. B. V. Chirikov, Phys. Rep. 52, 263 (1979).
14. J. M. Greene, J. Math. Phys. 9, 760 (1968).
15. J. M. Greene, J. Math. Phys. 20, 1183 (1979).
16. J. D. Meiss, Rev. Mod. Phys. 64, 795 (1992).
17. V.I. Oseledec, Trans. Moscow Math. Soc. 19, 197(1968); ZZZZZZ
18. J. P. Eckmann and D. Ruelle, Rev. Mod. Phys. 57, 617 (1985).
19. Ya. B. Pesin, Russian Math. Surveys 32, 55(1977).
20. G. Benettin, L. Galgani, and J. M. Strelcyn, Phys. Rev. A 14, 2338 (1976).
21. V. I. Arnold and A. Avez, Ergodic Problems of Classical Mechanics (Benjamin, New York, 1968).
22. F. Haake, M. Kuś, and R. Scharf, Z. Phys. B 65, 381 (1987).
23. G. Casati, B. V. Chirikov, F. M. Izraelev, and J. Ford, in Lecture Notes in Physics 93, edited by G. Casati and J. Ford (Springer-Verlag, Berlin, 1979).
24. M. V. Berry, N. L. Balaszs, M. Tabor, and A. Voros, Ann. Phys. (N.Y.) 122, 26 (1979).
25. M. Saraceno, Ann. Phys. (N.Y.) 199, 37 (1990).
26. F. L. Moore, J. C. Robinson, C. F. Bharucha, B. Sundaram, and M. G. Raizen, Phys. Rev. Lett. 75, 4598 (1995).
27. S. Sarkar and J. S. Satchell, Physica D 29, 343 (1988).
28. I. C. Percival and F. Vivaldi, Physica D 27, 373 (1987).
29. V. Constantoudis and N. Theodorakopoulos, Phys. Rev. E 56, 5189 (1997).
30. C. E. Shannon and W. Weaver, The Mathematical Theory of Communication (University of Illinois Press, Urbana, 1949).