Application of the time-dependent projection operator technique: The nonlinear quantum master equation

Physica A: Statistical Mechanics and its Applications

Volumn 254, Issue 3-4, 1998, Pages 411-432

  Linden, O ^a   May, V ^a  

^a HUMBOLDT UNIVERSITY   (Germany)

Author keywords

Density matrix theory; Projection operator; Quantum master equation; Spectral density

Indexed keywords

DENSITY (OPTICAL); MATHEMATICAL OPERATORS; OSCILLATORS (ELECTRONIC); QUANTUM THEORY; STATISTICAL MECHANICS; STATISTICAL METHODS;

DENSITY MATRIX THEORY; HARMONIC OSCILLATORS; PROJECTION OPERATOR; QUANTUM MASTER EQUATION; SPECTRAL DENSITY; TIME DEPENDENT PROJECTION;

NONLINEAR EQUATIONS;

EID: 0032098726     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0378-4371(98)00046-6     Document Type: Article

References (50)

1. C.R. Willis, R.H. Picard, Phys. Rev. A 9 (1974) 1343.
2. L.R. Khundkar, A.H. Zewail, Annu. Rev. Phys. Chem. 41 (1990) 15.
3. J. Manz, A.W. Castleman Jr. (Eds.), Femtosecond Chemistry: The Berlin Conference; J. Phys. Chem. 97 (48)(1993).
4. J. Manz, L. Wöste (Eds.), Femtosecond Chemistry, Verlag Chemie, Weinheim, 1994.
5. M. Chergui (Ed.), Ultrafast Chemical and Physical Processes in Molecular Systems (Proceedings of Femtochemistry: The Lausanne Conference, World Scientific Publishing, Singapore, 1996).
6. G. Stock, W. Domcke, J. Opt. Soc. Am. B 7 (1990) 1970.
7. S. Mukamel, Annu. Rev. Phys. Chem. 41 (1990) 647.
8. J. Broeckhove, L. Lathouwers (Eds.), Time-Dependent Molecular Dynamics, Plenum Press, New York, 1992.
9. A. Garcìa-Vela, R.B. Gerber, D.G. Imre, J. Chem. Phys. 97 (1992) 7242.
10. A. Garcìa-Vela, R.B. Gerber, J. Chem. Phys. 98 (1993) 427.
11. R.B. Gerber, P. Jungwirth, to be published.
12. W.T. Pollard, C.H.B. Cruz, C.V. Shank, R.A. Mathies, J. Chem. Phys. 90 (1989) 199.
13. W.T. Pollard, S.-Y. Lee, R.A. Mathies, J. Chem. Phys. 92 (1990) 4012.
14. W.T. Pollard, S.L. Dexheimer, Q. Wang, L.A. Peteanu, C.V. Shank, R.A. Mathies, J. Phys. Chem. 96 (1992) 6147.
15. O. Kühn, V. May, M. Schreiber, J. Chem. Phys. 101 (1994) 10404.
16. J.M. Jean, R.A. Friesner, G.R. Fleming, J. Chem. Phys. 96 (1992) 5827.
17. J.M. Jean, G.R. Fleming, J. Chem. Phys. 103 (1995) 2092.
18. S. Mukamel, Principles of Nonlinear Optical Spectroscopy, Oxford University Press, Oxford, 1995.
19. O. Kühn, D. Malzahn, V. May, Int. J. Quant. Chem. 57 (1996) 343.
20. K. Blum, Density Matrix Theory and Applications, Plenum Press, New York, 1981.
21. R. Kubo, M. Toda, N. Hashitsume, Statistical Physics II, Nonequilibrium Statistical Mechanics, Springer, Berlin, 1983.
22. V.G. Bar'yakhtar, E.G. Petrov, Kinetic Phenomena in Solids, Naukova Dumka, Kiev, 1989.
23. S. Nakajima, Progr. Theor. Phys. 20 (1958) 948.
24. R. Zwanzig, J. Chem. Phys. 33 (1960) 1338; Phys. Rev. 124 (1961) 983.
25. R. Zwanzig, J. Chem. Phys. 33 (1960) 1338; Phys. Rev. 124 (1961) 983.
26. E. Fick, G. Sauermann, The Quantum Statistics of Dynamic Processes, Springer Series in Solid-State Sciences, vol. 86, Springer, Berlin, 1990.
27. Y. Tanimura, P.G. Wolynes, Phys. Rev. A 43 (1991) 4131.
28. D.E. Makarov, N. Makri, Phys. Rev. A 48 (1993) 3626.
29. N. Makri, D.E. Makarov, J. Chem. Phys. 102 (1995) 4600.
30. S. Krempel, M. Winterstetter, H. Plöhn, W. Domcke, J. Chem. Phys. 100 (1994) 926.
31. L.D. Landau, E.M. Lifschitz, Lehrbuch der Theoretischen Physik, Bd. IX, X, Akademie-Verlag, Berlin, 1983, in German.
32. H. Grabert, W. Weidlich, Z. Physik 268 (1974) 139.
33. F. Shibata, N. Hashitsume, Z. Physik B 34 (1979) 197.
34. V. May, M. Schreiber, Phys. Rev. A 46 (1992) 6925.
35. H. Haken, Quantenfeldtheorie des Festkörpers, Teubner-Verlag, 1973, in German.
36. J.N. Onuchic, D.N. Beratan, J.J. Hopfield, J. Phys. Chem. 90 (1986) 3707.
37. K.V. Mikkelsen, M.A. Ratner, Chem. Rev. 87 (1987) 113.
38. G. Palmer (Eds.), Long-range Electron Transfer in Biology, Springer, Berlin, 1991.
39. J.R. Bolton, N. Mataga, G. McLendon (Eds.), Electron Transfer in Inorganic, Organic, and Biological Systems, Advances in Chemistry, vol. 228, American Chemical Society, Washington, DC, 1991.
40. Z. Smerdachina, W. Siebrand, F. Zerbetto, Chem. Phys. 136 (1989) 285.
41. A. Stöckli, B.H. Meier, R. Kreis, R. Meyer, R.R. Ernst, J. Chem. Phys. 93 (1990) 1502.
42. R. Meyer, R.R. Ernst, J. Chem. Phys. 93 (1990) 5518.
43. D. Borgis, J.T. Hynes, Chem. Phys. 170 (1993) 315.
44. E.J. Rashba, M.D. Sturge (Eds.), Excitons, North-Holland, Amsterdam, 1982.
45. V.M. Agranovich, M.D. Galanin, Electronic Excitation Energy Transfer in Condensed Matter, in: Modern Problems in Condensed Matter Sciences, vol. 4, North-Holland, Amsterdam, 1983.
46. V.M. Kenkre, P. Reineker, Exciton Dynamics in Molecular Crystals and Aggregates, Springer, Berlin, 1982.
47. F.C. Spano, S. Mukamel, J. Chem. Phys. 91 (1989) 683.
48. F.C. Spano, S. Mukamel, Phys. Rev. A 40 (1989) 5783.
49. D.W. Brown, K. Lindenberg, B.J. West, Phys. Rev. Lett. 57 (1986) 2341.
50. I. Barvik, V. Capek, Phys. Rev. A 40 (1989) 9973.