Nonequivalent operator representations for Bose-condensed systems

Laser Physics

Volumn 16, Issue 3, 2006, Pages 511-525

  Yukalov, V I ^a,b  

^a FREIE UNIVERSITÄT BERLIN   (Germany)

^b JOINT INSTITUTE FOR NUCLEAR RESEARCH   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; EQUATIONS OF MOTION; HAMILTONIANS; LINEARIZATION; SPECTRUM ANALYSIS; THERMODYNAMIC PROPERTIES;

BOSE SYSTEMS; CANONICAL TRANSFORMATIONS; CONSERVATION LAWS; FIELD OPERATORS;

STEAM CONDENSATE;

EID: 33750317999     PISSN: 1054660X     EISSN: 15556611     Source Type: Journal    
DOI: 10.1134/S1054660X06030145     Document Type: Article

References (50)

1. P. W. Courteille, V. S. Bagnato, and V. I. Yukalov, Laser Phys. 11, 659 (2001).
2. D. S. Hall, Am. J. Phys. 71, 649 (2003).
3. J. O. Andersen, Rev. Mod. Phys. 76, 599 (2004).
4. K. Bongs and K. Sengstock, Rep. Prog. Phys. 67, 907 (2004).
5. V. I. Yukalov, Laser Phys. Lett. 1, 435 (2004).
6. V. I. Yukalov, in Encyclopedia of Nonlinear Science, Ed. by A. Scott (Routledge, New York, 2005).
7. N. N. Bogolubov, J. Phys. 11, 23 (1947).
8. N. N. Bogolubov, Moscow Univ. Phys. Bull. 7, 43 (1947).
9. N. N. Bogoliubov, Lectures on Quantum Statistics (Gordon and Breach, New York, 1967; Naukova Dumka, Kiev, 1970), Vol. 1.
10. N. N. Bogoliubov, Lectures on Quantum Statistics (Gordon and Breach, New York, 1967; Naukova Dumka, Kiev, 1970), Vol. 2.
11. J. Ginibre, Commun. Math. Phys. 8, 26 (1968).
12. S. T. Beliaev, JETP 7, 289 (1958).
13. S. T. Beliaev, JETP 7, 299 (1958).
14. N. M. Hugenholtz and D. Pines, Phys. Rev. 116, 489 (1959).
15. P. C. Hohenberg and P. C. Martin, Ann. Phys. 34, 291 (1965).
16. V. N. Popov and L. D. Faddeev, JETP 20, 890 (1965).
17. V. N. Popov, JETP 20, 1185 (1965).
18. V. N. Popov, Functional Integrals in Quantum Field Theory and Statistical Physics (Reidel, Dordrecht, 1983).
19. V. N. Popov, Functional Integrals and Collective Modes (Cambridge Univ., New York, 1987).
20. A. L. Fetter, Ann. Phys. 70, 67 (1972).
21. P. O. Fedichev and G. V. Schlyapnikov, Phys. Rev. A 58, 3146 (1998).
22. S. A. Morgan, J. Phys. B 33, 3847 (2000).
23. S. A. Morgan, Phys. Rev. A 69, 023609 (2004).
24. A. J. Geddes, S. A. Morgan, and D. A. W. Hutchinson, cond-math/0503561 (2005).
25. S. A. Morgan, cond-math/0503585 (2005).
26. D. A. W. Hutchinson et al., J. Phys. B 33, 3825 (2000).
27. G. Baym, Phys. Rev. 127, 1391 (1962).
28. J. Knoll, Y. B. Ivanov, and D. N. Voskresensky, Ann. Phys. 293, 126 (2001).
29. T. Kita, J. Phys. Soc. Jpn. 74, 1891 (2005).
30. Y. B. Ivanov, F. Riek, and J. Knoll, Phys. Rev. D 71, 105016 (2005).
31. H. Umezawa, H. Matsumoto, and M. Tachiki, Thermo Field Dynamics and Condensed States (North-Holland, Amsterdam, 1982).
32. V. I. Yukalov, Many-Body Theory (Berlin Univ., Berlin, 2005).
33. V. I. Yukalov, Statistical Green's Functions (Queen's Univ., Kingston, 1998).
34. L. Van Hove, Physica 21, 901 (1955).
35. L. Van Hove, Physica 22, 343 (1956).
36. V. I. Yukalov, Phys. Rep. 208, 395 (1991).
37. V. I. Yukalov, Int. J. Mod. Phys. B 17, 2333 (2003).
38. V. I. Yukalov, E. P. Yukalova, and V. S. Bagnato, Phys. Rev. A 56, 4845 (1997).
39. V. I. Yukalov, E. P. Yukalova, and V. S. Bagnato, Phys. Rev. A 66, 043 602 (2002).
40. V. I. Yukalov and E. P. Yukalova, J. Phys. A 35, 8603 (2002).
41. V. I. Yukalov, K. P. Marzlin, and E. P. Yukalova, Phys. Rev. A 69, 023 620 (2004).
42. K. Huang, Statistical Mechanics (Wiley, New York, 1963).
43. N. G. Berloff and P. M. Roberts, J. Phys. A 32, 5611 (1999).
44. N. G. Berloff, J. Low Temp. Phys. 116, 359 (1999).
45. H. H. Sørensen, cond-math/0502126 (2005).
46. V. I. Yukalov and E. P. Yukalova, Laser Phys. Lett. 2, 506 (2005).
47. D. Ter Haar, Lectures on Selected Topics in Statistical Mechanics (Pergamon, Oxford, 1977).
48. Z. Idziaszek, Phys. Rev. A 71, 053604 (2005).
49. V. I. Yukalov, Laser Phys. Lett. 2, 156 (2005).
50. V. I. Yukalov, Phys. Lett. A 340, 369 (2005).