The damped quantum oscillator and a classical representation of quantum mechanics

Theoretical and Mathematical Physics

Volumn 112, Issue 3, 1997, Pages 1172-1181

  Man'ko, V I ^a   Safonov, S S ^a  

^a LEBEDEV PHYSICAL INSTITUTE   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031312473     PISSN: 00405779     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02583048     Document Type: Article

References (32)

1. R. J. Glauber, "Coherence and quantum detection," in: Rend. Scoula Intern. Fis. E. Fermi XLII. 1967, Acad. Press, New York (1969), p. 32.
2. P. Ullersma, Physica, 32, No. 1, 27 (1966).
3. I. R. Senitzky, Phys. Rev., 119, 670 (1960).
4. M. D. Kostin, J. Chem. Phys., 57, 3589 (1983)
5. H. D. Doebler and G. A. Goldin, Phys. Lett. A, 162, 397 (1992).
6. V. V. Dodonov and S. S. Mizrahi, Ann. Phys., 237, 226 (1995).
7. P. Caldirola, Nuovo Cimento, 18, No. 9, 393 (1941).
8. E. Kanai, Progr. Theor. Phys., 3, 440 (1948).
9. S. Mancini, V. I. Man'ko, and P. Tombesi, Phys. Lett. A, 213, No. 1 (1996); to appear in Found. Phys.
10. S. Mancini, V. I. Man'ko, and P. Tombesi, Phys. Lett. A, 213, No. 1 (1996); to appear in Found. Phys.
11. O. V. Man'ko, J. Russ. Laser Res., 17, 439 (1996); to appear in Phys. Lett. A.
12. O. V. Man'ko, J. Russ. Laser Res., 17, 439 (1996); to appear in Phys. Lett. A.
13. V. I. Man'ko, "Energy levels of quantum system in the classical formulation of quantum mechanics," in: Proceedings of the APCTP Conference (Seoul, June 1996), World Scientific (1997), to appear; J. Russ. Laser Res., 17, 579 (1996).
14. V. I. Man'ko, "Energy levels of quantum system in the classical formulation of quantum mechanics," in: Proceedings of the APCTP Conference (Seoul, June 1996), World Scientific (1997), to appear; J. Russ. Laser Res., 17, 579 (1996).
15. K. Vogel and H. Risken, Phys. Rev. A, 40, 2847 (1989).
16. K. E. Cahill and R. J. Glauber, Phys. Rev., 177, 1882 (1969).
17. E. Wigner, Phys. Rev., 40, 749 (1932).
18. R. J. Glauber, Phys. Rev. Lett., 10, 84 (1963).
19. E. C. G. Sudarshan, Phys. Rev. Lett., 10, 277 (1963).
20. K. Husimi, Proc. Phys. Math. Soc. Japan, 23, 264 (1940).
21. Y. Kano, J. Math. Phys., 6, 1913 (1986).
22. V. G. Bagrov, V. V. Belov, and A. Y. Trifonov, Ann. Phys., 246, 231 (1996).
23. V. V. Belov and V. P. Maslov, Dokl. Akad. Nauk SSSR, 305, 574 (1989).
24. V. V. Dodonov and V. I. Man'ko, Phys. Rev. A, 20, 550 (1979).
25. L. F. Landovitz, A. M. Lezine, and W. M. Schreiber, J. Math. Phys., 21, 2159 (1980).
26. P. Croxson, Phys. Rev. A, 49, 588 (1994).
27. V. V. Dodonov and V. I. Man'ko, Proc. Lebedev Phys. Inst. [in Russian], Vol. 183, Nauka, Moscow (1987); V. V. Dodonov and V. I. Man'ko, "Invariants and evolution of nonstationary quantum system," in: Proceedings of the Lebedev Physical Institute. 183 (M. A. Markov, ed.), Nova Science, New York (1989).
28. V. V. Dodonov and V. I. Man'ko, Proc. Lebedev Phys. Inst. [in Russian], Vol. 183, Nauka, Moscow (1987); V. V. Dodonov and V. I. Man'ko, "Invariants and evolution of nonstationary quantum system," in: Proceedings of the Lebedev Physical Institute. 183 (M. A. Markov, ed.), Nova Science, New York (1989).
29. V. I. Man'ko, "Quantum mechanics and classical probability theory," in: Proceedings of International Conference "Symmetries in Science VIII," Bregenz (Austria), 1996 (B. Gruber, ed.), Plenum Press (1997), to appear.
30. P. Ermakov, Universitetskie Izvestiya (Kiev), 20, No. 9, 1 (1880).
31. H. R. Lewis and W. B. Riesenfeld, J. Math. Phys., 10, 1458 (1969).
32. I. A. Malkin, V. I. Man'ko, and D. A. Trifonov, Phys. Rev. D, 2, 1371 (1970).