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Equations for generating functionals in classical and quantum statistical mechanics

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Soviet Physics Journal Aims and scope

Abstract

This paper develops a formalism for the generating functionals for partial distribution functions in classical statistical mechanics and partial density matrices in quantum statistical mechanics. For the case of a large canonical ensemble, functional equations are written with respect to the functionals introduced. Each functional system creates a system of integral equations for distribution functions or density matrices.

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Literature cited

  1. N. N. Bogolyubov, Problems of Dynamic Theory in Statistical Physics [in Russian], GITTL (1946).

  2. É. A. Arinshtein, B. G. Abrosimov, and G. I. Nazin, Izv. VUZ. Fiz., No. 12, 137 (1969).

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  3. D. M. Gitman and É. A. Arinshtein, Izv. VUZ. Fiz., No. 8 (1968).

  4. D. M. Gitman, Izv. VUZ. Fiz., No. 12 (1969).

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Authors and Affiliations

  1. Tomsk Institute of Radioelectronics and Electron Technology, USSR

    É. A. Arinshtein & D. M. Gitman

Authors
  1. É. A. Arinshtein
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  2. D. M. Gitman
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Additional information

Translated from Izvestiya Vysshikh Uchebnykh Zavedenii Fizika, No. 9, pp. 98–102, September, 1971.

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Arinshtein, É.A., Gitman, D.M. Equations for generating functionals in classical and quantum statistical mechanics. Soviet Physics Journal 14, 1243–1246 (1971). https://doi.org/10.1007/BF00826876

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  • DOI: https://doi.org/10.1007/BF00826876

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