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Communications in Mathematical Physics

, Volume 30, Issue 1, pp 11–22 | Cite as

The BBGKY hierarchy in quantum statistical mechanics

  • Sezar Fesciyan
Article

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.

Keywords

Neural Network Statistical Physic Complex System Nonlinear Dynamics Statistical Mechanic 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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    Gallavotti, G.: Nuovo Cimento52b, 208 (1968).Google Scholar
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    Ruelle, D.: Statistical Mechanics. New York: Benjamin 1969.Google Scholar
  3. 3.
    Ginibre, J.: J. Math. Phys.6, 238 (1965).Google Scholar
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    Ginibre, J.: J. Math. Phys.6, 252 (1965).Google Scholar
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    Bogoliubov, N. N.: Lectures in quantum statistics, Vol. 1. New York: Gordon & Breach 1967.Google Scholar
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    Ginibre, J.: Some applications of functional integration in statistical mechanics. Les Houches Summer School Lecture. New York: Gordon & Breach 1970.Google Scholar
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    Kac, M.: Probability and related topics in physical sciences. London: Interscience 1959.Google Scholar

Copyright information

© Springer-Verlag 1973

Authors and Affiliations

  • Sezar Fesciyan
    • 1
  1. 1.Belfer Graduate School of ScienceYeshiva UniversityNew YorkUSA

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