On the Schrödinger-Langevin picture and the master equation

Physica A: Statistical Mechanics and its Applications

Volumn 234, Issue 1-2, 1996, Pages 322-340

  Cáceres, Manuel O ^a   Chattah, Ana K ^b  

^a INSTITUTO BALSEIRO   (Argentina)

^b UNIVERSIDAD NACIONAL DE CÓRDOBA   (Argentina)

Author keywords

[No Author keywords available]

Indexed keywords

MARKOV PROCESSES; MATRIX ALGEBRA; PARTIAL DIFFERENTIAL EQUATIONS; STATISTICAL MECHANICS; THERMAL EFFECTS;

NONEQUILIBRIUM MANY BODY QUANTUM STATISTICAL MECHANIC SYSTEMS; QUANTUM MASTER EQUATION (QME); QUANTUM NOISE; SCHRODINGER-LANGEVIN PICTURE;

QUANTUM THEORY;

EID: 0030418635     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0378-4371(96)00263-4     Document Type: Article

References (31)

1. F. Haake, in: Springer Tracts in Modern Physics, Vol. 66 (Springer, Berlin, 1973).
2. H. Spohn Rev. Mod. Phys. 53 (1980) 569 and references therein.
3. A.O Caldeira and A.J. Legget, Physica A 121 (1983) 587; Ann. Phys. (USA) 149 (1983) 374; Erratum: Ann. Phys. (USA) 153 (1984) 445.
4. A.O Caldeira and A.J. Legget, Physica A 121 (1983) 587; Ann. Phys. (USA) 149 (1983) 374; Erratum: Ann. Phys. (USA) 153 (1984) 445.
5. (a) R.L. Stratonovich in: Nonlinear Nonequilibrium Thermodynamics (Nauka, Moscow, 1985).
6. (b) R.L. Stratonovich, in: Nonlinear Nonequilibrium Thermodynamics Vol. II (Springer, Berlin, 1993).
7. R.F. Fox in: Noise in Nonlinear Dynamical Systems, Vol II, eds, F. Moss and P.V.E. McClintock (Cambridge University Press, New York, 1989).
8. (a) C.W. Gardiner in: Handbook of Stochastic Methods (Springer, Berlin, 1983);
9. (b) C.W. Gardiner in: Quantum Noise (Springer, Berlin, 1991) and references therein.
10. R.P. Feynman and A. R. Hibbs, in: Quantum Mechanics and Path Integrals (McGraw-Hill, New York, 1965) and references therein.
11. (a) V. Gorini, A. Kossakowski and E.C.G. Sudarshan, J. Math. Phys. 17 (1976) 821;
12. (b) G. Lindblad Commun. Math. Phys. 48 (1976) 119.
13. A. Kossakowski Bull. Acad. Sci. Sér. Math. Astr. Phys. 20 (1972) 1021 .
14. N.G. van Kampen, in: Stochastic Processes in Physics and Chemistry, revised and enlarged second edition (North-Holland, Amsterdam, 1992).
15. Ref.[10, P.452].
16. G.W. For, M. Kac and P. Mazur, J. Math. Phys. 6 (1965) 504.
17. M. Lax, M. Phys. Rev. 172 (1968) 350.
18. R. Kubo and N. Hashitsume, Supp. Prog. Theor. Phys. 46, (1970) 210.
19. Cáceres M.O. and A.K. Chattah (submitted for publication).
20. V(ρ) .
21. M.O. Cáceres and A.K. Chattah in: Coherent Approach to Fluctuations, eds. M. Susuki and N. Kawashima (World Scientific, Singapore, 1996) P.237.
22. J.V. Pule and A. Verbeure, J. Math. Phys. 20 (1979) 733.
23. E.B. Davies, Commun. Math. Phys. 15 (1969) 277.
24. A. Kossakowski Rep. Math. Phys. 3 (1972) 247.
25. E.J. Wigner Phys. Rev. 40 (1932) 749.
26. H. Hussimi Proc. Phys. Math. Soc. Jpn. 22 (1940) 264 .
27. H. Kleinert in: Path Integrals in Quantum Mechanics, Statistics and Polymer Physics (World Scientific, Singapore, 1990), and references therein.
28. R. Zwanzig Phys. Rev., 124 (1961) 983.
29. A. Suarez, R. Silbey and I. Oppenheim, J. Chem. Phys. 97 (1992) 5101.
30. W. Fischer, H. Leschke and P. Müller, Phys. Rev. Lett. 73 (1994) 1578.
31. L. Golubovic, S. Feng and F.A. Zeng, Phys. Rev. Lett. 67 (1991) 2115.