Skip to main content
SpringerLink
Log in

Derivation and investigation of an averaged quantum equation of motion for a nonlinear oscillator in the field of an harmonic force

  • 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. F. V. Bunkin, R. V. Karapetyan, and A. M. Prokhorov, Zh. Eksp. Teor. Fiz.,47, 216 (1965).

    Google Scholar 

  2. G. A. Askar'yan, Zh. Eksp. Teor. Fiz.,48, 666 (1965).

    Google Scholar 

  3. N. N. Bogolyubov and Yu. A. Mitropolsky, Asymptotic Methods in the Theory of Nonlinear Oscillations. Gordon and Breach, New York (1962).

    Google Scholar 

  4. H. D. Sen-Gupta, J. Phys. A: Gen. Phys.,3, 618 (1970).

    Google Scholar 

  5. M. L. Ter-Mikaelyan, Preprint No. 11, IFI AN ArmSSR, Erevan (1974).

  6. A. N. Oraevskii, A. A. Stepanov, and V. A. Shcheglov, Zh. Eksp. Teor. Fiz.,69, 1991 (1975).

    Google Scholar 

  7. V. P. Makarov and M. V. Fedorov, Zh. Eksp. Teor. Fiz.,70, 1185 (1976).

    Google Scholar 

  8. A. O. Melikyan, Zh. Eksp. Teor. Fiz.,68, 1228 (1975).

    Google Scholar 

  9. A. I. Baz', Ya. B. Zel'dovich, and A. M. Perelomov, Scattering, Reactions and Decay in Nonrelativistic Quantum Mechanics, Jerusalem (1969) (The Russian reference is to a later edition published by Nauka in 1971).

  10. V. I. Man'ko (ed.), Coherent States in Quantum Theory [Russian translation], Mir (1972).

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

    Google Scholar 

  12. N. R. Isenor, V. Merchant, R. S. Halsworth, and M. Richardson, Can. J. Phys.,51, 1281 (1973).

    Google Scholar 

  13. R. V. Ambartzumian, V. S. Doljikov, V. S. Letokhov, E. A. Ryabov, and N. V. Chekalin, Chem. Phys. Lett.,25, 515 (1974).

    Google Scholar 

  14. V. N. Sazonov and V. Yu. Finkel'shtein, Dokl. Akad. Nauk SSSR,231, 78 (1976).

    Google Scholar 

  15. V. A. Kravchenko and A. S. Prostnev, Dokl. Akad. Nauk SSSR,211, 73 (1973).

    Google Scholar 

Download references

Authors
  1. V. N. Sazonov
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

P. N. Lebedev Physics Institute, Academy of Sciences of the USSR. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 31, No. 1, pp. 107–117, April, 1977.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Sazonov, V.N. Derivation and investigation of an averaged quantum equation of motion for a nonlinear oscillator in the field of an harmonic force. Theor Math Phys 31, 349–356 (1977). https://doi.org/10.1007/BF01041242

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01041242

Keywords

Search

Navigation