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Quantum Thermodynamics

Comparison of Thermodynamic Characteristics in Ordinary Quantum and Classical Approaches and Game Theory

arXiv
Authors: Lev Sakhnovich

Year

2010

Paper ID

10737

Status

Preprint

Abstract Read

~2 min

Abstract Words

65

Citations

N/A

Abstract

We fix the temperature T and consider mean energy and Boltzmann-Gibbs-Shannon entropy as two players of a game. As a result, basic formulas for the ordinary quantum mean energy and the Boltzmann-Gibbs-Shannon entropy are derived. We compare also the quantum and classical approaches without a demand for Plank's constant being small. Important inequalities for statistical sum, quantum energy, quantum entropy, and their classical analogs follow.

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  • We fix the temperature T and consider mean energy and Boltzmann-Gibbs-Shannon entropy as two players of a game.

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