Thermodynamics of the harmonic oscillator using coherent states
Universität Osnabrück, Fachbereich Physik
Barbarastr. 7, D-49069 Osnabrück, Germany
Accepted: 12 January 1999
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.
PACS: 05.30.-d – Quantum statistical mechanics / 05.30.Ch – Quantum ensemble theory / 02.70.Ns – Molecular dynamics and particle methods
© EDP Sciences, 1999