Thermodynamics of the harmonic oscillator using coherent states

Abstract

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.

6 pages, 2 postscript figures, uses 'epsfig.sty'. Submitted to Europhysics Letters. Introduction changed and references added for the revised version. More information available at http://obelix.physik.uni-osnabrueck.de/~schnack/

References in corpus (7)

• Fermionic Molecular Dynamics
• The nuclear liquid-gas phase transition within Fermionic Molecular Dynamics
• Quantum Fluctuation Effects on Nuclear Fragment Formation
• Statistical properties of antisymmetrized molecular dynamics for non-nucleon-emission and nucleon-emission processes
• Quantum Molecular Dynamics of Partially Ionized Plasmas
• Quantum Fluctuations Affect the Critical Properties of Noble Gases
• Molecular dynamics investigations on a quantum system in a thermostat

Cited by in corpus (8)

• Molecular Dynamics for Fermions
• Measurement-based quantum heat engine in a multilevel system
• Heisenberg-Fisher thermal uncertainty measure
• Escort--Husimi distributions, Fisher information and nonextensivity
• Fisher information, Wehrl entropy, and Landau Diamagnetism
• Nose-Hoover dynamics for coherent states
• Quantum statistical information contained in a semi-classical Fisher--Husimi measure
• Nose-Hoover sampling of quantum entangled distribution functions