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Variational calculation of the partition function of a system of electrons in a random field

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Abstract

A variational method is developed for calculating the partition function of a nondegenerate system of electrons in a Gaussian random field. Path integrals are used. The partition function with a model action that generalizes the one used by Feynman is calculated explicitly.

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Literature cited

  1. R. P. Feynman and A. R. Hibbs, Quantum Mechanics and Path Integrals, McGraw-Hill, New York (1965).

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  3. V. Bezák, Proc. Roy. Soc.,A315, 339 (1970).

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  4. S. V. Tyablikov, Methods of Quantum Theory of Magnetism, Plenum Press, New York (1967).

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Authors and Affiliations

  1. M. V. Lomonosov Moscow State University, USSR

    A. G. Mironov

Authors
  1. A. G. Mironov
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Additional information

Translated from IzvestiyaVysshikh Uchebnykh Zavedenii, Fizika, No. 2, pp. 47–52, February, 1976.

I thank V. L. Bonch-Bruevich for a helpful discussion.

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Mironov, A.G. Variational calculation of the partition function of a system of electrons in a random field. Soviet Physics Journal 19, 171–175 (1976). https://doi.org/10.1007/BF00942864

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  • DOI: https://doi.org/10.1007/BF00942864

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