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

Marco Lenci

doi:10.1063/1.531684

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

Marco Lenci

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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.

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Marco Lenci. 1996-05-09. Ergodic Properties of the Quantum Ideal Gas in the Maxwell-Boltzmann Statistics. https://doi.org/10.1063/1.531684

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