Ergodic Properties of the Quantum Ideal Gas in the Maxwell-Boltzmann Statistics
chao-dyn
2008-02-03 v1 Chaotic Dynamics
Exactly Solvable and Integrable Systems
Quantum Physics
solv-int
Abstract
It is proved that the quantization of the Volkovyski-Sinai model of ideal gas (in the Maxwell-Boltzmann statistics) enjoys at the thermodynamical limit the properties of mixing and ergodicity with respect to the quantum canonical Gibbs state. Plus, the average over the quantum state of a pseudo-differential operator is exactly the average over the classical canonical measure of its Weyl symbol.
Keywords
Cite
@article{arxiv.chao-dyn/9605005,
title = {Ergodic Properties of the Quantum Ideal Gas in the Maxwell-Boltzmann Statistics},
author = {Marco Lenci},
journal= {arXiv preprint arXiv:chao-dyn/9605005},
year = {2008}
}
Comments
35 pages, LaTeX