Quantum Fokker-Planck theory in a non-Gaussian-Markovian medium

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 58, Issue 4, 1998, Pages 2721-2732

  Yan, YiJing ^a  

^a HONG KONG UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Hong Kong)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001030482     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.58.2721     Document Type: Article

References (53)

1. A. Abragam, The Principles of Nuclear Magnetism (Clarendon, Oxford, 1961).
2. R. K. Wangsness and F. Bloch, Phys. Rev. 89, 728 (1953).PHRVAO
3. F. Bloch, Phys. Rev. 105, 1206 (1957).PHRVAO
4. A. G. Redfield, Adv. Magn. Reson. 1, 1 (1965).ADMGAX
5. C. P. Slichter, Principles of Magnetic Resonance (Springer-Verlag, New York, 1990).
6. Quantum Statistics in Optics and Solid State Physics. Statistical Treatment of Open Systems by Generalized Master Equations, edited by F. Haake, Springer Tracts in Modern Physics Vol. 66 (Springer, Berlin, 1973).
7. H. Haken, Laser Theory (Springer, Berlin, 1970).
8. W. H. Louisell, Quantum Statistical Properties of Radiation (Wiley, New York, 1973).
9. G. R. Fleming, Chemical Applications of Ultrafast Spectroscopy (Oxford University Press, New York, 1986).
10. A. H. Zewail, Femtochemistry: Ultrafast Dynamics of the Chemical Bond (World Scientific, Singapore, 1994), Vols. I and II.
11. S. Mukamel, The Principles of Nonlinear Optical Spectroscopy (Oxford University Press, New York, 1995).
12. R. W. Zwanzig, J. Chem. Phys. 33, 423 (1960).JCPSA6
13. R. W. Zwanzig, Lectures in Theoretical Physics (Wiley, New York, 1961), Vol. III.
14. R. W. Zwanzig, Annu. Rev. Phys. Chem. 16, 67 (1965).ARPLAP
15. H. Mori, Prog. Theor. Phys. 33, 423 (1965).PTPKAV
16. N. G. van Kampen, Stochastic Processes in Physics and Chemistry (North-Holland, Amsterdam, 1992).
17. B. Bagchi and G. R. Fleming, J. Phys. Chem. 94, 9 (1990).JPCHAX
18. J. M. Jean, G. R. Fleming, and R. A. Friesner, J. Phys. Chem. 95, 253 (1991).JPCHAX
19. J. M. Jean and G. R. Fleming, J. Chem. Phys. 103, 2092 (1995).JCPSA6
20. D. R. Yarkony, J. Phys. Chem. 100, 18 612 (1996).JPCHAX
21. R. A. Marcus, Annu. Rev. Phys. Chem. 15, 155 (1964).ARPLAP
22. R. J. P. Williams, Mol. Phys. 68, 1 (1989).MOPHAM
23. U. Fano, Phys. Rev. 131, 259 (1963).PHRVAO
24. B. J. Berne, in Physical Chemistry, An Advanced Treatise, edited by H. Eyring, W. Jost, and D. Henderson (Academic, New York, 1971), Vol. 8B, p. 539.
25. K. Blum, Density Matrix Theory and Applications (Plenum, New York, 1981).
26. S. Mukamel, Adv. Chem. Phys. 47, 509 (1981).ADCPAA
27. Selected Papers on Noise and Stochastic Processes, edited by N. Wax (Dover, New York, 1954).
28. H. Risken, The Fokker-Planck Equation, 2nd ed. (Springer, Berlin, 1984).
29. H. Dekker, Phys. Rev. A 16, 2126 (1977).PLRAAN
30. H. Dekker, Physica A 95, 311 (1979).PHYADX
31. H. Dekker, Phys. Rep. 80, 1 (1981).PRPLCM
32. R. P. Feynman and A. R. Hibbs, Quantum Mechanics and Path Integrals (McGraw-Hill, New York, 1965).
33. R. P. Feynman and F. L. Vernon, Ann. Phys. (N.Y.) 24, 118 (1963).APNYA6
34. A. O. Caldeira and A. J. Leggett, Physica A 121, 587 (1983).PHYADX
35. Y. Tanimura and R. Kubo, J. Phys. Soc. Jpn. 58, 101 (1989).JUPSAU
36. Y. Tanimura and P. G. Wolynes, Phys. Rev. A 43, 4131 (1991).PLRAAN
37. Y. Tanimura and P. G. Wolynes, J. Chem. Phys. 96, 8485 (1992).JCPSA6
38. Y. Tanimura and S. Mukamel, J. Chem. Phys. 101, 3049 (1994).JCPSA6
39. Y. Tanimura and Y. Maruyama, J. Chem. Phys. 107, 1779 (1997).JCPSA6
40. A. Schmid, J. Low Temp. Phys. 49, 609 (1982).JLTPAC
41. J. Cao, J. Chem. Phys. 107, 3204 (1997).JCPSA6
42. Y. J. Yan and S. Mukamel, J. Chem. Phys. 89, 5160 (1988).JCPSA6
43. R. Kubo, Rep. Prog. Phys. 29, 255 (1966).RPPHAG
44. R. Kubo, Adv. Chem. Phys. 15, 101 (1969).ADCPAA
45. N. Bloembergen, E. M. Purcell, and R. V. Pound, Phys. Rev. 73, 679 (1948).PHRVAO
46. P. W. Anderson and P. R. Weiss, Rev. Mod. Phys. 25, 269 (1953).RMPHAT
47. D. Forster, Hydrodynamics Fluctuations, Broken Symmetry, and Correlation Functions (Benjamin, London, 1975).
48. W. T. Pollard and R. A. Friesner, J. Chem. Phys. 100, 5054 (1994).JCPSA6
49. A. K. Felts, W. T. Pollard, and R. A. Friesner, J. Phys. Chem. 99, 2929 (1995).JPCHAX
50. W. T. Pollard, A. K. Felts, and R. A. Friesner, Adv. Chem. Phys. 93, 77 (1996).ADCPAA
51. Y. Tanimura and S. Mukamel, Phys. Rev. E 47, 118 (1993).PLEEE8
52. R. Kubo, M. Toda, and N. Hashitsume, Statistical Physics (Springer-Verlag, Berlin, 1985).
53. L. Onsager, Can. J. Chem. 55, 1819 (1977). CJCHAG