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Published December 1, 1986 | public
Journal Article Open

Effective classical partition functions

Abstract

We present a method by which a quantum-mechanical partition function can be approximated from below by an effective classical partition function. The associated potential is obtained by a simple smearing procedure. For a strongly anharmonic oscillator and a double-well potential, the lowest approximation gives a free energy which is accurate to a few percent, even at zero temperature.

Additional Information

©1986 The American Physical Society. Received 20 May 1986. This work has been supported in part by Deutsche Forschungsgemeinschaft (Bonn, Germany) under Grant No. K1 256 and the U. S. Department of Energy under Contract No. DEAT-03-81ER-40029.

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August 22, 2023
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