Geodesic
Wigner function and diffusion in collisionfree media of quantum particles
Teoriâ veroâtnostej i ee primeneniâ, Tome 51 (2006) no. 1, pp. 109-125 Cet article a éte moissonné depuis la source Math-Net.Ru

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A quantum Poincaré model (realizing behavior of ideal gas of noninteracting quantum Bolztman particles) is introduced. We use the fact that the evolution of the Wigner function corresponding to a quantum system with a quadratic Hamiltonian coincides with the evolution of a probability distribution on a phase space of the Hamiltonian system, the quantization of which gives the quantum system under consideration.
Mots-clés : Poincaré model
Keywords: Wigner function, Heisenberg equation, Hamiltonian equation, Weyl operator, Weyl function, ideal gas. 
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V. V. Kozlov; O. G. Smolyanov. Wigner function and diffusion in collisionfree media of quantum particles. Teoriâ veroâtnostej i ee primeneniâ, Tome 51 (2006) no. 1, pp. 109-125. http://geodesic.mathdoc.fr/item/TVP_2006_51_1_a7/

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