On the exact mean-field description of continuous quantum systems in equilibrium II

J. Maćkowiak

Physica A: Statistical Mechanics and its Applications, 1983, vol. 121, issue 1, 59-84

Abstract: The thermodynamic limit of free energy density of continuous quantum systems with bounded separable 2-body interactions, confined to a compact Riemann space, is investigated. It is shown that such systems, similarly as n-particle quantum systems in a bounded region in Rv, which were discussed in an earlier article, can be exactly described in this limit as noninteracting systems subject to a mean field, equal to the averaged 2-body interaction. The form of equations for the mean field depends on the statistics obeyed by the particles. Conditions for the values of inverse temperature, at which the mean-field description may be invalid, are derived. As an application of the method, a system of coupled oscillators on a sphere in Rv is investigated.

Date: 1983
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:121:y:1983:i:1:p:59-84

DOI: 10.1016/0378-4371(83)90242-X

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