A simple semiclassical approach to the Kramers' problem

Journal of Chemical Physics

Volumn 111, Issue 24, 1999, Pages 10852-10858

  Ray Chaudhuri, Jyotipratim ^a   Bag, Bidhan Chandra ^a   Ray, Deb Shankar ^a  

^a DEPARTMENT OF MATERIALS SCIENCE   (India)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000220075     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.480449     Document Type: Article

References (23)

1. H. A. Kramers, Physica 7, 284 (1940).
2. P. Hänggi, P. Talkner, and M. Borkovec, Rev. Mod. Phys. 62, 251 (1990).
3. V. I. Melnikov, Phys. Rep. 209, 1 (1991).
4. W. H. Louiseil, Quantum Statistical Properties of Radiation (Wiley, New York, 1973); G. W. Ford, J. T. Lewis, and R. J. O'Connell, Ann. Phys. (N.Y.) 185, 270 (1988).
5. W. H. Louiseil, Quantum Statistical Properties of Radiation (Wiley, New York, 1973); G. W. Ford, J. T. Lewis, and R. J. O'Connell, Ann. Phys. (N.Y.) 185, 270 (1988).
6. See, for example, the review by G. Gangopadhay and D. S. Ray, in Advances in Multiphoton Processes and Spectroscopy Vol. 8, edited by S. H. Lin, A. A. Villayes, and F. Fujimura (World Scientific, Singapore, 1993).
7. W. H. Miller, S. D. Schwatz, and J. W. Tromp, J. Chem. Phys. 79, 4889 (1983).
8. J. Cao and G. A. Voth, J. Chem. Phys. 105, 6856 (1996).
9. J. Liao and E. Pollak, J. Chem. Phys. 110, 80 (1999).
10. A. J. Leggett, S. Chakravarty, A. T. Dorsey, M. P. A. Fisher, A. Garg, and W. Zwerger, Rev. Mod. Phys. 59, 1 (1987).
11. H. Grabert, P. Schramm, and G. L. Ingold, Phys. Rep. 168, 115 (1988).
12. A. J. Leggett and A. O. Caldeira, Physica A 121, 587 (1983).
13. W. H. Zurek and J. P. Paz, Phys. Rev. Lett. 72, 2508 (1994); S. Habib, K. Shizume, and W. H. Zurek, ibid. 80, 4361 (1998).
14. W. H. Zurek and J. P. Paz, Phys. Rev. Lett. 72, 2508 (1994); S. Habib, K. Shizume, and W. H. Zurek, ibid. 80, 4361 (1998).
15. B. C. Bag, S. Chaudhuri, J. Ray Chaudhuri, and D. S. Ray, Physica D 125, 47 (1999).
16. B. C. Bag and D. S. Ray, J. Stat. Phys. 96, 271 (1999).
17. E. P. Wigner, Phys. Rev. 40, 749 (1932).
18. F. Haake, H. Risken, C. Savage, and D. F. Walls, Phys. Rev. A 34, 3969 (1986).
19. G. Gangopadhyay and D. S. Ray, J. Chem. Phys. 46, 4693 (1992).
20. P. G. Wolyness, Phys. Rev. Lett. 47, 968 (1981).
21. E. Pollak, in Dynamics of Molecules and Chemical Reactions edited by R. E. Wyatt and J. Z. H. Zhang (Marcell Dekker, New York, 1996), p. 617.
22. W. H. Miller, J. Chem. Phys. 62, 1899 (1975).
23. P. Hänggi and W. Hontscha, J. Chem. Phys. 88, 4094 (1988).