On the quantum corrections to the radial distribution function and to the thermodynamic properties of fluids

Abstract

Defining the radial distribution function g(r) as the ratio of two configurational integrals of the Slater sum, the first quantum correction to the radial distribution function has been derived. This result has been used to obtain the first quantum correction to the thermodynamic properties of fluids. The cluster integrals appearing in the density expansion of g(r) have been discussed. It has been found that additional diagrams appear, in each order of density, in the radial distribution function due to the quantum correction. Numerical values of the first few cluster integrals have been evaluated using a gaussian model and the results discussed. Equations relating the three-body distribution function with two-body distribution functions and the first quantum correction term with the classical distribution functions have been derived.