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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.

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