Ergodic Properties of the Quantum Ideal Gas in the Maxwell-Boltzmann Statistics
arXiv:chao-dyn/9605005 · doi:10.1063/1.531684
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.
35 pages, LaTeX