Skip to main content
SpringerLink
Log in

Kinetic equations in the method of two-time finite-temperature Green's functions. I. Renormalization of the collision integral

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

Abstract

A system of equations that includes a generalized kinetic equation and equations for the static correlation functions is constructed for a normal quantum system of interacting Bose and Fermi particles with two-body interaction on the basis of the method of two-time finite-temperature Green's functions. The equations are in general valid for systems with arbitrary density of the particles. A method of successive approximation that makes it possible to go beyond the usual low-density expansion is discussed. The proposed method leads to a renormalization of the collision integral and makes it possible to obtain correlation functions for the total energy density, including its potential part.

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

Similar content being viewed by others

References

  1. N. N. Bogolyubov, “Problems of a dynamical theory in statistical physics,” in:Studies in Statistical Mechanics, Vol. 1 (eds. J. de Boer and G. E. Uhlenbeck), North-Holland, Amsterdam (1962).

    Google Scholar 

  2. D. N. Zubarev and V. G. Morozov,Teor. Mat. Fiz.,60, 270 (1984).

    Google Scholar 

  3. D. N. Zubarev, V. G. Morozov, I. P. Omelyan, and M. V. Tokarchuk,Teor. Mat. Fiz.,87, 113 (1991).

    Google Scholar 

  4. D. N. Zubarev,Nonequilibrium Statistical Thermodynamics, Plenum, New York (1974).

    Google Scholar 

  5. N. N. Bogolyubov and S. V. Tyablikov,Dokl. Akad. Nauk SSSR,126, 53 (1959).

    Google Scholar 

  6. D. N. Zubarev,Usp. Fiz. Nauk,71, 71 (1960).

    Google Scholar 

  7. R. Kubo,J. Phys. Soc. Jpn.,12, 570 (1957).

    Google Scholar 

  8. Yu. A. Tserkovnikov,Teor. Mat. Fiz.,49, 219 (1981).

    Google Scholar 

  9. G. F. Mazenko,Phys. Rev. A,9, 360 (1974).

    Google Scholar 

  10. H. Mori,Prog. Theor. Phys.,33, 423 (1965).

    Google Scholar 

  11. Yu. A. Tserkovnikov,Teor. Mat. Fiz.,85, 258 (1990).

    Google Scholar 

  12. L. D. Faddeev,Tr. Mosk. Inst. Akad. Nauk SSSR,69 (1963).

Download references

Authors
  1. Yu. A. Tserkovnikov
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

V. A. Steklov Mathematics Institute, Russian Academy of Sciences. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 96, No. 3, pp. 351–372, September, 1993.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Tserkovnikov, Y.A. Kinetic equations in the method of two-time finite-temperature Green's functions. I. Renormalization of the collision integral. Theor Math Phys 96, 1013–1026 (1993). https://doi.org/10.1007/BF01019064

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01019064

Keywords

Search

Navigation