Ehrenfest times for classically chaotic systems

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

Volumn 65, Issue 3, 2002, Pages

  Silvestrov, P G ^a,b   Beenakker, C W J ^a  

^a UNIVERSITEIT LEIDEN   (Netherlands)

^b BUDKER INSTITUTE OF NUCLEAR PHYSICS   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

ENERGY CONSERVATION; EQUATIONS OF MOTION; MATRIX ALGEBRA; OSCILLATIONS; PHASE SHIFT; QUANTUM THEORY; SEMICONDUCTOR QUANTUM DOTS; WAVE PROPAGATION;

NEWTON'S EQUATION OF MOTION; QUANTUM MAPS; QUANTUM WAVE FUNCTIONS; SCHRÖDINGER EQUATION;

CHAOS THEORY;

EID: 37649031315     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.65.035208     Document Type: Article

References (16)

1. P. Ehrenfest, Z. Phys. 45, 455 (1927).
2. G.P. Berman and G.M. Zaslavsky, Physica A 91, 450 (1978);
3. G.M. Zaslavsky, Phys. Rep. 80, 157 (1981).
4. M. Combescure and D. Robert, Asymptotic Anal. 14, 377 (1997).
5. G.A. Hagedorn and A. Joye, Ann. Henri Poincaré 1, 837 (2000).
6. F. Bonechi and S. De Bièvre, Commun. Math. Phys. 211, 659 (2000).
7. A. Bouzouina and D. Robert, Duke Math. J (to be published).
8. M.V. Berry and N.L. Balazs J. Phys. A 12, 625 (1979).
9. M.V. Berry, N.L. Balazs, M. Tabor, and A. Voros, Ann. Phys. (N.Y.) 122, 26 (1979).
10. M.A. Alonso and G.W. Forbes, J. Opt. Soc. Am. A 17, 2288 (2000).
11. W.H. Zurek, Nature (London) 412, 712 (2001).
12. G. Casati, B.V. Chirikov, F.M. Izrailev, and J. Ford, Lect. Notes Phys. 93, 334 (1979).
13. R.A. Jalabert and H.M. Pastawski, Phys. Rev. Lett. 86, 2490 (2001);
14. Ph. Jacquod, P.G. Silvestrov, and C.W.J. Beenakker, Phys. Rev. E 64, 055203(R) (2001).
15. O. Agam, I. Aleiner, and A. Larkin, Phys. Rev. Lett. 85, 3153 (2000);
16. I.L. Aleiner and A.I. Larkin, Phys. Rev. B 54, 14 423 (1996).