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Variational principle for the equilibrium wigner distribution function

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  • Gibson, W.G.

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.

Suggested Citation

  • Gibson, W.G., 1979. "Variational principle for the equilibrium wigner distribution function," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 98(1), pages 298-306.
    • Handle: RePEc:eee:phsmap:v:98:y:1979:i:1:p:298-306
    DOI: 10.1016/0378-4371(79)90180-8
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    1. Daniels, Raymond B. & Jordan, Robert H., 1965. "Physiographic History and the Soils, Entrenched Stream Systems, and Gullies, Harrison County, Iowa," Technical Bulletins 171348, United States Department of Agriculture, Economic Research Service.
    2. Robert W. Adams & John T. Wheeler, 1952. "External Economies and the Falling Supply Curve," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 20(1), pages 24-39.
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