Quantum kinetic equation in the closed-time-path formalism

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 62, Issue 5, 2000, Pages 5953-5966

  Koide, Jun ^a  

^a KEIO UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

CORRELATION METHODS; EQUATIONS OF MOTION; GREEN'S FUNCTION; INTEGRATION; LAGRANGE MULTIPLIERS; MARKOV PROCESSES;

BOLTZMANN EQUATIONS; QUANTUM KINETIC EQUATION;

QUANTUM THEORY;

EID: 0034316636     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.62.5953     Document Type: Article

References (41)

1. J. Koide, J. Phys. A 33, L127 (2000).
2. L. P. Kadanoff and G. Baym, Quantum Statistical Mechanics (Benjamin, New York, 1962).
3. P. Lipavský, V. Špička and B. Velický, Phys. Rev. B 34, 6933 (1986).
4. V. G. Morozov and G. Röpke, Ann. Phys. (N.Y.) 278, 127 (1999).
5. I. D. Lawrie, J. Phys. A 21, L823 (1988);
6. I. D. LawriePhys. Rev. D 40, 3330 (1989);
7. I. D. Lawrie and D. B. McKernan, Phys. Rev. D 55, 2290 (1997).
8. I. D. Lawrie, J. Phys. A 25, 6493 (1992).
9. A. Niégawa, Phys. Lett. B 416, 137 (1998);
10. A. NiégawaProg. Theor. Phys. 102, 1 (1999).
11. Y. Yamanaka, H. Umezawa, K. Nakamura, and T. Arimitsu, Int. J. Mod. Phys. A 9, 1153 (1994);
12. Int. J. Mod. Phys. AH. Chu and H. Umezawa, 9, 1703 (1994);
13. Int. J. Mod. Phys. AH. ChuH. Umezawa9, 2363 (1994).
14. R. Fukuda, Phys. Rev. Lett. 61, 1549 (1988).
15. R. Fukuda, M. Komachiya, S. Yokojima, Y. Suzuki, K. Okumura, and T. Inagaki, Prog. Theor. Phys. Suppl. 121, 1 (1995).
16. P. Danielewicz, Ann. Phys. (N.Y.) 152, 239 (1984).
17. M. Wagner, Phys. Rev. B 44, 6104 (1991).
18. R. Fukuda and M. Sumino, Phys. Rev. A 44, 6252 (1991);
19. J. Schwinger, J. Math. Phys. 45. 3559
20. J. Schwinger, J. Math. Phys. 2, 407 (1961);
21. L. V. Keldysh, Zh. Eksp. Teor. Fiz. 47, 1515 (1964) [Sov. Phys. JETP 20, 1018 (1965)];
22. N. P. Landsman and Ch. G. van Weert, Phys. Rep. 145, 141 (1987), and references cited therein.
23. K. Chou, Z. Su, B. Hao, and L. Yu, Phys. Rep. 118, 1 (1985).
24. K. Morawetz and G. Roepke, Phys. Rev. E 51, 4246 (1995).
25. K. Morawetz, Phys. Lett. A 199, 241 (1995);
26. M. Bonitz, D. Kremp, D. C. Scott, R. Binder, W. D. Kraeft, and H. S. Köhler, J. Phys.: Condens. Matter 8, 6057 (1996);
27. D. Kremp, Th. Bornath, M. Bonitz, and M. Schlanges, Physica B 228, 72 (1996);
28. K. Morawetz and H. S. Köhler, Eur. Phys. J. A 4, 291 (1999).
29. D. Kremp, M. Bonitz, W. D. Kraeft, and M. Schlanges, Ann. Phys. (N.Y.) 258, 320 (1997).
30. Yu. L. Klimontnovich, Kinetic Theory of Nonideal Gases & Nonideal Plasmas (Pergamon, Oxford, 1982).
31. A. I. Akhiezer and S. V. Peletminskii, Methods of Statistical Physics (Pergamon, Oxford, 1981).
32. D. Kremp, M. Schlanges, and Th. Bornath, J. Stat. Phys. 41, 661 (1985);
33. A. Sedrakian and G. Röpke, Ann. Phys. (N.Y.) 266, 524 (1998).
34. S. Fujita, J. Math. Phys. 6, 1877 (1965);
35. A. G. Hall, J. Phys. A 8, 214 (1975).
36. D. Semkat, D. Kremp, and M. Bonitz, Phys. Rev. E 59, 1557 (1999).
37. D. Zubarev, V. Morozov and G. Röpke, Statistical Mechanics of Nonequilibrium Processes (Akademie Verlag, Berlin, 1997), Vols. 1 and 2.
38. D. Lee, S. Fujita, and F. Wu, Phys. Rev. A 2, 854 (1970).
39. H. Haug and C. Ell, Phys. Rev. B 46, 2126 (1992);
40. G. Manzke, K. Henneberger, J. Heeg, K. El Sayed, S. Schuster, and H. Haug, Phys. Status Solidi B 188, 395 (1995).
41. M. Bonitz, J. W. Dufty, and C. S. Kim, Phys. Status Solidi B 206, 181 (1998).