Comparison of thermodynamic characteristics in the ordinary quantum and classical approaches

Lev Sakhnovich

Physica A: Statistical Mechanics and its Applications, 2011, vol. 390, issue 21, 3679-3686

Abstract: We fix the temperature T and consider a new extremal problem. As a result, basic formulas for the ordinary quantum mean energy and the Boltzmann–Gibbs–Shannon entropy are derived. We also compare the quantum and classical approaches without a demand for Planck’s constant being small. Important inequalities for statistical sum, quantum energy, quantum entropy, and their classical analogs follow.

Keywords: Entropy; Mean energy; Statistical sum; Equilibrium system; Wiener integration (search for similar items in EconPapers)
Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:390:y:2011:i:21:p:3679-3686

DOI: 10.1016/j.physa.2011.06.002

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