Skip to main content
SpringerLink
Log in

The BBGKY hierarchy in quantum statistical mechanics

  • Published:
Communications in Mathematical Physics Aims and scope Submit manuscript

Abstract

It is shown that the infinite volume limit of the equilibrium reduced density matrices, shown by Ginibre to exist at low densities, satisfy the quantum time independent BBGKY hierarchy of equations. This extends analogous results for classical systems due to Gallavotti.

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.

Similar content being viewed by others

References

  1. Gallavotti, G.: Nuovo Cimento52b, 208 (1968).

    Google Scholar 

  2. Ruelle, D.: Statistical Mechanics. New York: Benjamin 1969.

    Google Scholar 

  3. Ginibre, J.: J. Math. Phys.6, 238 (1965).

    Google Scholar 

  4. Ginibre, J.: J. Math. Phys.6, 252 (1965).

    Google Scholar 

  5. Bogoliubov, N. N.: Lectures in quantum statistics, Vol. 1. New York: Gordon & Breach 1967.

    Google Scholar 

  6. Ginibre, J.: Some applications of functional integration in statistical mechanics. Les Houches Summer School Lecture. New York: Gordon & Breach 1970.

    Google Scholar 

  7. Kac, M.: Probability and related topics in physical sciences. London: Interscience 1959.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Belfer Graduate School of Science, Yeshiva University, New York, USA

    Sezar Fesciyan

Authors
  1. Sezar Fesciyan
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Supported by AFOSR Contract Number F44620-71-C-0013.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Fesciyan, S. The BBGKY hierarchy in quantum statistical mechanics. Commun.Math. Phys. 30, 11–22 (1973). https://doi.org/10.1007/BF01646684

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01646684

Keywords

Search

Navigation