On the second-order corrections to the quantum canonical equilibrium density matrix

Journal of Chemical Physics

Volumn 113, Issue 4, 2000, Pages 1380-1390

  Geva, Eitan ^a   Rosenman, Efrat ^a   Tannor, David ^a  

^a WEIZMANN INSTITUTE OF SCIENCE   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; CORRELATION METHODS; MARKOV PROCESSES; PERTURBATION TECHNIQUES; STATISTICAL MECHANICS;

LAMB SHIFTS; QUANTUM CANONICAL EQUILIBRIUM DENSITY MATRIX; SECOND ORDER CORRECTIONS; WIGNER DISTRIBUTION;

QUANTUM THEORY;

EID: 0034226451     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.481928     Document Type: Article

References (39)

1. T. L. Hill, Statistical Mechanics (Dover, New York, 1954).
2. D. A. McQuarrie, Statistical Mechanics (Harper and Row, New York, 1976).
3. M. Toda, R. Kubo, and N. Saito, Statistical Physics I - Equilibrium Statistical Mechanics (Springer-Verlag, Berlin, 1983).
4. D. Chandler, Introduction to Modern Statistical Mechanics (Oxford University Press, New York, 1987).
5. E. T. Jaynes, Phys. Rev. 106, 620 (1957).
6. E. T. Jaynes, Phys. Rev. 108, 171 (1957).
7. H. Grabert, P. Schramm, and G. L. Ingold, Phys. Rep. 168, 117 (1988).
8. N. Makri and D. Makarov, J. Chem. Phys. 102, 4600 (1995).
9. N. Makri and D. Makarov, J. Chem. Phys. 102, 4611 (1995).
10. F. Haake, Quantum Statistics in Optics and Solid State Physics (Springer-Verlag, Berlin, 1973).
11. I. Oppenheim, K. E. Shuler, and G. H. Weiss, Stochastic Processes in Chemical Physics: The Master Equation (MIT Press, Cambridge, MA, 1977).
12. N. G. van Kampen, Stochastic Processes in Physics and Chemistry (North-Holland, Amsterdam, 1981).
13. R. Kubo, M. Toda, and N. Hashitsume, Statistical Physics II: Nonequilibrium Statistical Mechanics (Springer-Verlag, New York, 1985).
14. R. Alicki and K. Lendi, Quantum Dynamical Semigroups and Applications (Springer-Verlag, Berlin, 1987).
15. B. B. Laird, J. Budimir, and J. L. Skinner, J. Chem. Phys. 94, 4391 (1991).
16. E. Geva, R. Kosloff, and J. L. Skinner, J. Chem. Phys. 102, 8541 (1995).
17. E. Geva and R. Kosloff, J. Chem. Phys. 104, 7681 (1996).
18. D. Kohen, C. C. Marston, and D. J. Tannor, J. Chem. Phys. 107, 5236 (1997).
19. R. Kubo, M. Toda, and N. Hashitsume, Statistical Physics II - Nonequilibrium Statistical Mechanics (Springer-Verlag, Berlin, 1983).
20. B. B. Laird, J. Budimir, and J. L. Skinner, J. Chem. Phys. 94, 4391 (1991).
21. V. Romero-Rochin and I. Oppenheim, Physica (Utrecht) 155, 52 (1989).
22. C. Meier and D. Tannor, J. Chem. Phys. 111, 3365 (1999).
23. A. O. Caldeira and A. J. Leggett, Ann. Phys. 149, 374 (1983).
24. S. Mukamel, Principles of Nonlinear Optical Spectroscope (Oxford, New York, 1995).
25. R. K. Wangsness and F. Bloch, Phys. Rev. 89, 728 (1953).
26. A. G. Redfield, IBM J. Res. Dev. 1, 19 (1957).
27. C. C. P Slichter, Principles of Magnetic Resonance, 2nd ed. (Springer-Verlag, Berlin, 1978).
28. W. H. Louisell, Quantum Statistical Properties of Radiation (Wiley, New York, 1990).
29. W. T. Pollard and R. A. Friesner, J. Chem. Phys. 100, 5054 (1994).
30. D. Kohen and D. J. Tannor, J. Chem. Phys. 103, 6013 (1995).
31. J. Cao, J. Chem. Phys. 107, 3204 (1997).
32. A. Suárez, R. Silbey, and I. Oppenheim, J. Chem. Phys. 97, 5101 (1992).
33. A. M. Walsh and R. D. Coalson, Chem. Phys. Lett. 198, 293 (1992).
34. D. Kohen and D. J. Tannor, Adv. Chem. Phys. 111, 219 (2000).
35. G. Ashkenazi et al., Adv. Chem. Phys. 100, 229 (1997).
36. R. Kosloff, J. Phys. Chem. 92, 2087 (1988).
37. R. Kosloff, in Numerical Grid Methods and Their Application to Schrodinger's Equation, edited by C. Cerjan (Kluwer Academic, The Netherlands. 1993), p. 175.
38. R. Kosloff, in Dynamics of Molecules and Chemical Reactions, edited by D. T. Haar (Marcel Dekker, New York, 1996), p. 185.
39. W. E. Arnoldi, Q. Appl. Math. 9, 17 (1951).