Skip to main content
SpringerLink
Log in

Semiclassical approximation for a nonlinear oscillator that is stochastic in the classical limit

  • Published:
Theoretical and Mathematical Physics Aims and scope Submit manuscript

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

Literature Cited

  1. G. M. Zaslavskii and B. V. Chirikov, Usp. Fiz. Nauk,105, 3 (1971).

    Google Scholar 

  2. G. M. Zaslavskii, Stochasticity of Dynamical Systems [in Russian], Nauka, Moscow (1984).

    Google Scholar 

  3. B. V. Chirikov, Phys. Rep.,52, 263 (1978).

    Google Scholar 

  4. A. Liberman and M. Lichtenberg, Regular and Stochastic Dynamics [Russian translation], Mir, Moscow (1984).

    Google Scholar 

  5. G. M. Zaslavsky, Phys. Rep.,80, 157 (1981).

    Google Scholar 

  6. B. V. Chirikov, F. M. Izrailev, and D. L. Shepelyansky, “Dynamical stochasticity in classical and quantum mechanics,” Sov. Scient. Rev.,26, 209 (1981).

    Google Scholar 

  7. G. P. Berman and G. M. Zaslavsky, Physica (Utrecht) A,91, 450 (1978).

    Google Scholar 

  8. G. P. Berman and G. M. Zaslavskii, Dokl. Akad. Nauk SSSR,240, 1082 (1978).

    Google Scholar 

  9. G. P. Berman and A. M. Iomin, Phys. Lett. A,95, 79 (1983).

    Google Scholar 

  10. R. J. Glauber, Phys. Rev.,131, 2766 (1963).

    Google Scholar 

  11. S. A. Kheifets and V. V. Sokolov, “On the quantum corrections to the stochastic motion of the nonlinear oscillator,” Preprint 80-133, Institute of Nuclear Physics, Novosibirsk (1980).

    Google Scholar 

  12. V. V. Sokolov, Teor. Mat. Fiz.,61, 128 (1984).

    Google Scholar 

  13. G. P. Berman and G. M. Zaslavsky, Physica (Utrecht) A,111, 17 (1982).

    Google Scholar 

  14. R. J. Glauber, “Coherence and detection of quanta,” in: Coherent States in Quantum Theory [Russian translations], Mir, Moscow (1972), p. 26.

    Google Scholar 

  15. J. R. Klauder and E. C. G. Sudarshan, Fundamentals of Quantum Optics, New York (1968).

  16. P. Carruthers and M. Nieto, Rev. Mod. Phys.,40, 411 (1968).

    Google Scholar 

  17. G. S. Agarwal and E. Wolf, Phys. Rev. D,2, 2161 (1970).

    Google Scholar 

  18. G. P. Berman, A. M. Iomin, and G. M. Zaslavsky, Physica (Utrecht) D,40, 113 (1981).

    Google Scholar 

Download references

Authors
  1. G. P. Berman
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. A. M. Iomin
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

L. V. Kirenski Institute of Physics, Siberian Branch, USSR Academy of Sciences. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 77, No. 2, pp. 277–284, November, 1988.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Berman, G.P., Iomin, A.M. Semiclassical approximation for a nonlinear oscillator that is stochastic in the classical limit. Theor Math Phys 77, 1197–1202 (1988). https://doi.org/10.1007/BF01016388

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01016388

Keywords

Search

Navigation