Skip to main content
Log in

Application of functional integration to the derivation of the low-frequency asymptotic behaviour of Green's functions and kinetic equations for a nonideal Bose gas

  • 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, On the Hydrodynamics of a Superfluid Liquid [in Russian], Preprint JINR R-1395, Dubna (1963).

  2. Z. Galasevich, Asymptotic Calculation of Green's Functions in the Approximation of a Viscous Fluid for Superfluid Bose Systems [in Russian], Preprint JINR R-1517, Dubna (1964).

  3. P. C. Hohenberg and P. C. Martin, Ann. Phys.,34, 291 (1965).

    Google Scholar 

  4. V. A. Krasnikov, Dokl. Akad. Nauk SSSR,174, 1037 (1967).

    Google Scholar 

  5. S. T. Belyaev, Zh. Éksp. Teor. Fiz.,34, 417 433 (1958).

    Google Scholar 

  6. N. M. Hugengoltz and D. Pines, Phys. Rev.,116, 489 (1959).

    Google Scholar 

  7. V. N. Popov and L. D. Faddeev, Zh. Éksp. Teor. Fiz.,47, 1315 (1964).

    Google Scholar 

  8. V. N. Popov, Zh. Éksp. Teor. Fiz.,47, 1759 (1964); Vestnik LGU, No. 22, 22, 58 (1965).

    Google Scholar 

  9. Li Cheng-Chung, Dokl. Akad. Nauk SSSR,164, 1269 (1965);169, 1054 (1966).

    Google Scholar 

  10. J. W. Kane and L. P. Kadanoff J. Math. Phys.,6, 1902 (1965).

    Google Scholar 

  11. S. V. Peletminskii, V. D. Tsukanov, and A. A. Yatsenko, Preprint [in Russian] ITF-68-51, Institute of Theoretical Physics, Kiev (1968).

  12. E. S. Fradkin, Trudy FIAN,29, 7 (1965).

    Google Scholar 

  13. G. M. Eliashberg, Zh. Éksp. Teor. Fiz.,41, 1241 (1961).

    Google Scholar 

  14. S. Chapman and T. G. Cowling, Mathematical Theory of Non-Uniform Gases, Cambridge (1952).

  15. I. M. Khalatnikov, Introduction to the Theory of Superfluidity [in Russian], Nauka (1965).

  16. A. A. Abrikosov, L. P. Gorkov, and I. E. Dzyaloshinski, Methods of Quantum Field Theory in Statistical Physics, Englewood Cliffs (1963).

  17. V. N. Popov, Zh. éksp. Teor. Fiz.,58, 257 (1970).

    Google Scholar 

Download references

Authors

Additional information

Leningrad Branch, V. A. Steklov Mathematics Institute, Academy of Sciences of the USSR. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 6, No. 1, pp. 90–108, January, 1971.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Popov, V.N. Application of functional integration to the derivation of the low-frequency asymptotic behaviour of Green's functions and kinetic equations for a nonideal Bose gas. Theor Math Phys 6, 65–77 (1971). https://doi.org/10.1007/BF01037581

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01037581

Keywords

Navigation