Marco Lenci
Ergodic Properties of the Quantum Ideal Gas in the
Maxwell-Boltzmann Statistics
(83K, LaTeX)
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.