Variational principle for the equilibrium wigner distribution function

W.G. Gibson

Physica A: Statistical Mechanics and its Applications, 1979, vol. 98, issue 1, 298-306

Abstract: A variational principle is derived for the equilibrium Wigner distribution function of quantum statistical mechanics. This provides an alternative to the usual Wigner-Kirkwood expansion method of calculating quantum corrections to the structural and thermodynamic properties of systems. As an illustration, the method is applied to the second virial coefficient of a Lennard-Jones gas, and it is found that the simplest trial function gives results superior to the Wigner-Kirkwood series.

Date: 1979
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:98:y:1979:i:1:p:298-306

DOI: 10.1016/0378-4371(79)90180-8

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