Title: Wigner-Kirkwood quantum corrections for the pair distribution function in a plasma
Abstract: We study the quantum corrections for the pair distribution function ${g}_{2}{(r}_{12})$ in a one-component plasma. Our analysis is based on the ${\ensuremath{\Elzxh}}^{2}$ expansion of the Wigner-Kirkwood $N$-particle distribution function in phase space. A resulting expression for ${g}_{2}{(r}_{12})$ is derived exactly, at order ${\ensuremath{\Elzxh}}^{4},$ valid at any interparticle distance. This quantum pair distribution function is expressed in terms of the classical two-, three-, four-, and five-particle distribution functions. Analytical properties of this expression are studied, both for small and large ${r}_{12}.$ Accurate approximate expressions, depending only on the classical pair distribution function, are proposed.
Publication Year: 1998
Publication Date: 1998-04-01
Language: en
Type: article
Indexed In: ['crossref']
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Cited By Count: 3
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