Skip to main content
SpringerLink
Log in

Quantum nonstationary oscillator: Models and applications

  • Published:
Journal of Russian Laser Research Aims and scope

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

References

  1. I. A. Malkin and V. I. Man’ko,Phys. Lett. A31, 243 (1970).

    Article  ADS  Google Scholar 

  2. I. A. Malkin and V. I. Man’ko,Lebedev Physics Institute Preprint No. 15 (1971).

  3. V. I. Man’ko, in:Coherent States in Quantum Theory [in Russian] (Mir, Moscow, 1972), p. 5.

    Google Scholar 

  4. I. A. Malkin and V. I. Man’ko,Zh. Eksp. Teor. Fiz. 59, 1746 (1970) [Sov. Phys. JETP 32, 949 (1971)].

    Google Scholar 

  5. V. V. Dodonov, I. A. Malkin, and V. I. Man’ko,Teor. Mat. Fiz. 24, 164 (1975).

    MathSciNet  Google Scholar 

  6. V. V. Dodonov, I. A. Malkin, and V. I. Man’ko,Int. J. Theor. Phys. 14, 37 (1975).

    Article  MathSciNet  Google Scholar 

  7. I. A. Malkin and V. I. Man’ko,Dynamical Symmetries and Coherent States of Quantum Systems [in Russian] (Nauka, Moscow, 1979).

    Google Scholar 

  8. V. V. Dodonov and V. I. Man’ko, in:Proceedings of Lebedev Physics Institute (Nauka, Moscow, 1983), vol. 152, p. 145 [English translation: Supplemental (Nova Science, Commack, N. Y., 1988), vol. 176, p. 197].

    Google Scholar 

  9. V. V. Dodonov, E. V. Kurmyshev, and V. I. Man’ko, in:Proceedings of Lebedev Physics Institute (Nauka, Moscow, 1983), vol. 176, p. 128 [English translation: (Nova Science, Commack, N. Y., 1988), vol. 176, p. 169].

    Google Scholar 

  10. V. V. Dodonov and V. I. Man’ko, in:Modern Nonlinear Optics, Part 3, ed. by M. Evans and S. Kielich (Wiley, N.Y., 1994,Advances in Chemical Physics Series, vol.LXXXV), p. 499.

    Google Scholar 

  11. K. Husimi,Progr. Theor. Phys. 9, 381 (1953).

    Article  ADS  MathSciNet  Google Scholar 

  12. K. W. H. Stevens,Proc. Phys. Soc. London 72, 1027 (1958).

    Article  MathSciNet  MATH  Google Scholar 

  13. H. Dekker,Phys. Repts 80, 1 (1981).

    Article  ADS  MathSciNet  Google Scholar 

  14. U. M. Titulaer,Physica 70, 257 (1973).

    Article  MathSciNet  ADS  Google Scholar 

  15. R. G. Littlejohn,Phys. Repts. 138, 193 (1986).

    Article  ADS  MathSciNet  Google Scholar 

  16. V. V. Dodonov and V. I. Man’ko, in:Invariants and Evolution of Nonstationary Quantum Systems, Proceedings of Lebedev Physics Institute (Nauka, Moscow, 1987), vol. 183, p. 182 [English translation: (Nova Science, Commack, N. Y., 1989), vol. 183, p. 63].

    Google Scholar 

  17. J. J. Schwinger,Math. Phys. 2, 407 (1961).

    Article  MATH  ADS  MathSciNet  Google Scholar 

  18. W. H. Louisell and R. L. Walker,Phys. Rev. B137, 204 (1965).

    Article  ADS  Google Scholar 

  19. W. G. Ford, M. Kac, and P. Mazur,J. Math. Phys. 6, 504 (1965).

    Article  MATH  MathSciNet  ADS  Google Scholar 

  20. W. Weidlich and F. Haake,Z. Phys. 185, 30 (1965).

    Article  MATH  ADS  Google Scholar 

  21. V. M. Fain and Ya. I. Khanin,Quantum Radiophysics [in Russian] (Sovetskoye Radio, Moscow, 1965).

    Google Scholar 

  22. P. Ullersma,Physica 32, 27 (1966).

    Article  ADS  MathSciNet  Google Scholar 

  23. B. Ya. Zel’dovich, A. M. Perelomov, and V. S. Popov,Zh. Eksp. Teor. Fiz. 55, 589 (1968).

    Google Scholar 

  24. R. J. Glauber, in:Rend. Scuola Int. Fis. “E. Fermi,” vol.XLII, ed. by R. J. Glauber (Academic Press, N. Y., 1969), p. 32.

    Google Scholar 

  25. E. Braun and S. V. Godoy,Physica A86, 337 (1977).

    Article  ADS  Google Scholar 

  26. M. Razavy,Nuovo Cim. B64, 396 (1981).

    Article  MathSciNet  ADS  Google Scholar 

  27. A. O. Caldeira and A. J. Leggett,Ann. Phys. (N.Y.)149, 374 (1983).

    Article  ADS  Google Scholar 

  28. K. Lindenberg and B. J. West,Phys. Rev. A30, 568 (1984).

    Article  ADS  MathSciNet  Google Scholar 

  29. I. A. Pedrosa and B. Baseia,Phys. Rev. D30, 765 (1984).

    Article  ADS  MathSciNet  Google Scholar 

  30. E. Braun,Physica A129, 262 (1985).

    Article  ADS  MathSciNet  Google Scholar 

  31. C. Yannouleas,Physica A132, 1 (1985).

    Article  ADS  MathSciNet  Google Scholar 

  32. P. S. Riseborough, P. Hänggi, and U. Weiss,Phys. Rev. A31, 471 (1985).

    Article  ADS  Google Scholar 

  33. H. Dekker,Phys. Rev. A31, 1067 (1985);33, 2140 (1986);Physica A133, 1 (1985).

    Article  ADS  Google Scholar 

  34. G. I. Papadopoulos,J. Phys. A18, 1945 (1985).

    Article  ADS  MathSciNet  Google Scholar 

  35. F. Haake and R. Reibold,Phys. Rev. A32, 2462 (1985).

    Article  ADS  Google Scholar 

  36. F. Haake and D. F. Walls,Phys. Rev. A36, 730 (1987).

    Article  ADS  MathSciNet  Google Scholar 

  37. A. Pimpale and M. Razavy,Phys. Rev. A36, 2739 (1987).

    Article  ADS  Google Scholar 

  38. G. W. Ford, J. T. Lewis, and R. F. O’Connell,Phys. Rev. A37, 4419 (1988);Ann. Phys. (N.Y.)185, 270 (1988);J. Stat. Phys. 53, 439 (1988).

    Article  ADS  MathSciNet  Google Scholar 

  39. V. V. Dodonov and V. I. Man’ko, in:Proceedings of Lebedev Physics Institute (Nauka, Moscow, 1986), vol. 167, p. 7 [English translation: (Nova Science, Commack, N. Y. 1987), vol. 167, p. 7].

    Google Scholar 

  40. E. P. Wigner, in:Perspectives in Quantum Theory, ed. by W. Yourgrau and A. van der Merwe (MIT Press, Cambridge, Mass., 1971), p. 25; M. Hillery, R. F. O’Connell, M. O. Scully, and E. P. Wigner,Phys. Repts. 106, 121 (1984).

    Google Scholar 

  41. V. V. Dodonov and V. I. Man’ko, in:Proceedings of Lebedev Physics Institute (Nauka, Moscow, 1986), vol. 176, p. 40 [English translation: (Nova Science, Commack, N. Y., 1988), vol. 176, p. 53].

    Google Scholar 

  42. D. F. Walls and G. J. Milburn,Phys. Rev. A31, 2403 (1985).

    Article  ADS  MathSciNet  Google Scholar 

  43. V. V. Dodonov and V. I. Man’ko, in:Group Theoretical Methods in Physics, Proceedings of the Second International Seminar, Zvenigorod, Russia, 24–26 November 1982, ed. by M. A. Markov, V. I. Man’ko, and A. E. Shabad, vol. 1 (Harwood Academic Publ., Chur, 1985), p. 705.

    Google Scholar 

  44. A. Barchielli,Nuovo Cim. B74, 113 (1983).

    MathSciNet  ADS  Google Scholar 

  45. H. Dekker and M. C. Valsakumar,Phys. Lett. A104, 67 (1984).

    Article  ADS  MathSciNet  Google Scholar 

  46. A. SĂndulescu and H. Scutaru,JINR Rapid Communications, Dubna, Russia, No. 10, p. 5 (1985);Ann. Phys. (N.Y.)173, 277 (1987).

  47. R. Alicki and J. Messer,J. Phys. A15, 3543 (1982).

    Article  ADS  MathSciNet  Google Scholar 

  48. V. V. Dodonov and O. V. Man’ko,Physica A130, 353 (1985).

    Article  ADS  MathSciNet  Google Scholar 

  49. V. V. Dodonov and O. V. Man’ko,Teor. Mat. Fiz. 65, 93 (1985).

    MathSciNet  Google Scholar 

  50. E. A. Akhundova, V. V. Dodonov, and V. I. Man’ko,Physica A115, 215 (1982).

    Article  ADS  Google Scholar 

  51. B. L. Schumaker,Phys. Repts. 135, 317 (1986).

    Article  ADS  MathSciNet  Google Scholar 

  52. V. V. Dodonov and V. I. Man’ko, in:Invariants and Evolution of Nonstationary Quantum Systems, Proceedings of Lebedev Physics Institute (Nauka, Moscow, 1987), vol. 183, p. 5 [English translation: (Nova Science, Commack, N. Y., 1989), vol. 183, p. 3].

    Google Scholar 

  53. R. J. Glauber, in:Group Theoretical Methods in Physics, Proceedings of the International Seminar, Zvenigorod, Russia, 24–26 November 1982, vol.II, ed. by M. A. Markov (Nauka, Moscow, 1983), p. 165.

    Google Scholar 

  54. H. Bateman,Phys. Rev. 38, 815 (1931).

    Article  MATH  ADS  MathSciNet  Google Scholar 

  55. P. Morse and H. Feshbach,Methods of Theoretical Physics, vol.1 (McGraw-Hill, N. Y., 1953).

    Google Scholar 

  56. Y. Tikochinsky,J. Math. Phys. 19, 888 (1978).

    Article  ADS  MathSciNet  Google Scholar 

  57. V. V. Dodonov, V. I. Man’ko, and V. D. Skarzhinsky,Hadronic J. 4, 1734 (1981);Nuovo Cim. B69, 185 (1982);Proceedings of Lebedev Physics Institute, Supplemental (Nova Science, Commack, N. Y., 1988), vol. 176, p. 49.

    MATH  MathSciNet  Google Scholar 

  58. P. Havas,Nuovo Cim. Suppl. 5, 363 (1957); R. M. Santilli,Foundations of Theoretical Mechanics. I: The Inverse Problem in Newtonian Mechanics (Springer, Berlin, 1978).

    MATH  MathSciNet  Google Scholar 

  59. R. J. Glauber and V. I. Man’ko,Zh. Eksp. Teor. Fiz. 87, 790 (1984) [Sov. Phys. JETP60, 450 (1984)]; in:Proceedings of Lebedev Physics Institute (Nauka, Moscow, 1987), vol. 167, p. 130 [English translation: (Nova Science, Commack, N. Y., 1987), vol. 167].

    ADS  MathSciNet  Google Scholar 

  60. I. A. Malkin and V. I. Man’ko,Zh. Eksp. Teor. Fiz. 55, 1014 (1968).

    Google Scholar 

  61. A. Feldman and A. H. Kahn,Phys. Rev. B1, 4584 (1970).

    Article  ADS  Google Scholar 

  62. B. R. Johnson, J. O. Hirschfelder, and K. H. Yang,Rev. Mod. Phys. 55, 109 (1983).

    Article  ADS  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. P.N. Lebedev Physical Institute, Russian Academy of Sciences, Leninsky Pr. 53, 117924, Moscow, Russia

    V. V. Dodonov, O. V. Man’ko & V. I. Man’ko

Authors
  1. V. V. Dodonov
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. O. V. Man’ko
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. V. I. Man’ko
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Trudy Fizicheskogo Instituta im. P. N. Lebedeva (Proceedings of the Lebedev Physical Institute, Russian Academy of Sciences, Moscow), Vol. 191, pp. 171–185, 198–210, 214–245, 1989.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Dodonov, V.V., Man’ko, O.V. & Man’ko, V.I. Quantum nonstationary oscillator: Models and applications. J Russ Laser Res 16, 1–56 (1995). https://doi.org/10.1007/BF02581075

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02581075

Keywords

Search

Navigation