Abstract

A high-temperature approximation for the discretized path-integral quantum Monte Carlo (PIQMC) method is formulated. At higher temperatures, all P fictitious classical particles representing a single quantum particle stay close together, and an efficient approximation is obtained when, in the primitive short-time propagator, an essentially local harmonic approximation is used for the external potential at the common centre of mass of P fictitious particles - the integration over P - 1 dimensions can then be carried out analytically, and a classical formula of the effective-potential type is obtained for the partition function.

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