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Application of the K-Orbit Method to a Solution of Thermodynamics Problems for Noncompact Lie Groups

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Abstract

A method of solving the main thermodynamics problem of homogeneous spaces for noncompact manifolds (on the example of the noncompact unimodular Lie groups) is suggested in the present paper. The method is based on the K-orbit formalism. A formula is derived that allows the statistical sum in noncompact spaces and the Green's function of a scalar particle in background gravitational field to be calculated. The method is illustrated by an example.

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Authors and Affiliations

  1. Omsk State University, Russia

    V. V. Mikheev & I. V. Shirokov

Authors
  1. V. V. Mikheev
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  2. I. V. Shirokov
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Mikheev, V.V., Shirokov, I.V. Application of the K-Orbit Method to a Solution of Thermodynamics Problems for Noncompact Lie Groups. Russian Physics Journal 46, 6–14 (2003). https://doi.org/10.1023/A:1024036232577

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