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

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

2010-10-22

arxiv.org/abs/1010.4717v2

Physics

Mathematical Physics

An improved and slighly corrected version

Scientific paper

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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