Ergodic Properties of the Quantum Ideal Gas in the Maxwell-Boltzmann Statistics

Details Ergodic Properties of the Quantum Ideal Gas in the Maxwell-Boltzmann Statistics Ergodic Properties of the Quantum Ideal Gas in the Maxwell-Boltzmann Statistics

1996-05-09

arxiv.org/abs/chao-dyn/9605005v1

J. Math. Phys. 37 (1996), no. 10, 5136-5157

Nonlinear Sciences

Chaotic Dynamics

35 pages, LaTeX

Scientific paper

10.1063/1.531684

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.

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