Comparison of thermodynamic characteristics in the ordinary quantum and classical approaches
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.
Year of publication: |
2011
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Authors: | Sakhnovich, Lev |
Published in: |
Physica A: Statistical Mechanics and its Applications. - Elsevier, ISSN 0378-4371. - Vol. 390.2011, 21, p. 3679-3686
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Publisher: |
Elsevier |
Subject: | Entropy | Mean energy | Statistical sum | Equilibrium system | Wiener integration |
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