Comparison of Thermodynamic Characteristics in Ordinary Quantum and Classical Approaches and Game Theory
Mathematical Physics
2015-05-20 v2 math.MP
Probability
Spectral Theory
Quantum Physics
Abstract
We fix the temperature 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.
Keywords
Cite
@article{arxiv.1010.4717,
title = {Comparison of Thermodynamic Characteristics in Ordinary Quantum and Classical Approaches and Game Theory},
author = {Lev Sakhnovich},
journal= {arXiv preprint arXiv:1010.4717},
year = {2015}
}
Comments
An improved and slighly corrected version