Abstract
By using an expression of Feynman and Hibbs for the partition function Z = Tr[exp[- β( p 2/2 m + V)]) in terms of integrals over paths with fixed means, and substituting for the potential V a local harmonic approximant (following Miller), we obtain an improved Pitzer—Gwinn approximation, as simple to use as the original one, but applicable to a much broader class of potentials. Systematic corrections, in the form of cumulant and Wigner—Kirkwood expansions are then obtained.
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