Skip to main content
Log in

Bogolyubov canonical transformation and collective states of bosonic fields

  • 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

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

Instant access to the full article PDF.

Literature Cited

  1. N. N. Bogolyubov, Izv. Akad. Nauk SSSR, Ser. Fiz.,11, 77 (1947).

    Google Scholar 

  2. N. N. Bogolyubov, V. V. Tolmachev, and D. V. Shirkov, A New Method in the Theory of Superconductivity, New York (1959).

  3. V. G. Soloviev, Theory of Complex Nuclei, Pergamon Press, Oxford (1976).

    Google Scholar 

  4. S. V. Tyablikov, Methods of Quantum Theory of Magnetism, Plenum Press, New York (1967).

    Google Scholar 

  5. A. S. Davydov, Theory of Solids [in Russian], Nauka, Moscow (1976).

    Google Scholar 

  6. D. Stoler, Phys. Rev. D,1, 3217 (1970);4, 1925 (1970).

    Google Scholar 

  7. D. F. Walls, Nature,306, 141 (1983).

    Google Scholar 

  8. Y. Yamamoto and H. A. Haus, Rev. Mod. Phys.,58, 1001 (1986).

    Google Scholar 

  9. N. N. Bogolyubov (Jr), M. Kozerovski, Chan Kuang, and A. S. Shumovskii, Fiz. Elem. Chastits At. Yadra,19, 831 (1988).

    Google Scholar 

  10. R. Slasher, L. Hollberg, B. Yurke, J. Mertz, and J. Valley, Phys. Rev. Lett.,55, 2409 (1985).

    Google Scholar 

  11. Ling-An Wu, H. J. Kimble, J. L. Hall, and H. Wu, Phys. Rev. Lett.,57, 2520 (1986).

    Google Scholar 

  12. Min Xiao, Ling-An Wi, and H. J. Kimble, Phys. Rev. Lett.,59, 278 (1987).

    Google Scholar 

  13. S. Ya. Kilin, Quantum Optics [in Russian], Nauka i Tekhnika, Minsk (1990).

    Google Scholar 

  14. A. S. Shumovskii, Dokl. Akad. Nauk SSSR,316, No. 2 (1990).

  15. J. Perina, Quantum Statistics of Linear and Nonlinear Optical Phenomena, Reidel, Dordrecht (1984).

    Google Scholar 

  16. A. S. Shumovsky and K. A. Rustamov, in: Selected Topics in Statistical Mechanics (eds. A. A. Logunov, N. N. Bogolyubov, A. G. Kadyshevsky, and A. S. Shumovsky), World Scientific (1990), p. 255.

  17. R. Loudon, Rep. Prog. Phys.,43, 913 (1980).

    Google Scholar 

  18. N. N. Bogolyubov (Jr), A. S. Shumovsky, and Tran Quang, Phys. Lett. A,123, 71 (1987).

    Google Scholar 

  19. A. S. Shumovsky and Tran Quang, in: Interaction of Electromagnetic Field with Condensed Matter (eds. N. N. Bogolyubov (Jr), A. S. Shumovsky, and V. I. Yukalov) World Scientific (1990), p. 162.

Download references

Authors

Additional information

Joint Institute for Nuclear Research, Dubna. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 89, No. 3, pp. 438–445, December, 1991.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Shumovskii, A.S. Bogolyubov canonical transformation and collective states of bosonic fields. Theor Math Phys 89, 1323–1329 (1991). https://doi.org/10.1007/BF01017828

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01017828

Keywords

Navigation