Thermodynamics of the harmonic oscillator using coherent states

Details Thermodynamics of the harmonic oscillator using coherent states Thermodynamics of the harmonic oscillator using coherent states

1998-08-26

arxiv.org/abs/cond-mat/9808287v2

Europhysics Letters 45 (1999) 647-652

Physics

Condensed Matter

Statistical Mechanics

6 pages, 2 postscript figures, uses 'epsfig.sty'. Submitted to Europhysics Letters. Introduction changed and references added

Scientific paper

10.1209/epl/i1999-00216-4

The ongoing discussion whether thermodynamic properties can be extracted from a (possibly approximate) quantum mechanical time evolution using time averages is fed with an instructive example. It is shown for the harmonic oscillator how the Hilbert space or an appropriately defined phase space must be populated in terms of coherent states in order to obtain the quantum result respectively the classical one.

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