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Effective classical partition functions

Feynman, R. P. and Kleinert, H. (1986) Effective classical partition functions. Physical Review A, 34 (6). pp. 5080-5084. ISSN 1050-2947. doi:10.1103/PhysRevA.34.5080.

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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.

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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.
Issue or Number:6
Record Number:CaltechAUTHORS:FEYpra86
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:3553
Deposited By: Tony Diaz
Deposited On:14 Jun 2006
Last Modified:08 Nov 2021 19:57

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