Semiclassical statistical mechanics of fluids: Nonperturbative incorporation of quantum effects in classical many body models

Some of the basic equations of the equilibrium statistical mechanics of fluids involving the radial distribution function are derived in a nonperturbative semiclassical form by employing the phase space sampling approach in conjunction with a semiclassical pairwise interaction approximation. Analysis of the approximation suggests two practical models for effective potentials which automatically introduce the desired quantum effects into the classical equations