Semiclassical statistical mechanics of a v-dimensional fluid of hard v-spheres

Abstract

The problem of calculating quantum corrections to the equilibrium properties of v-dimensional fluids of hard v-spheres is studied. Asymptotic expressions, valid at high temperatures, are derived for the density independent radial distribution function and second virial coefficient. Expressions for the first order quantum corrections to the free energy, pressure and the nth virial coefficients are also given. Significant features are the large increase in quantum correction with increasing dimensionality.