Geodesic
Wigner function and diffusion in collisionfree media of quantum particles
Teoriâ veroâtnostej i ee primeneniâ, Tome 51 (2006) no. 1, pp. 109-125

Voir la notice de l'article provenant de la source Math-Net.Ru

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.
Keywords: Poincaré model, Wigner function, Heisenberg equation, Hamiltonian equation, Weyl operator, Weyl function, ideal gas. 
@article{TVP_2006_51_1_a7,
     author = {V. V. Kozlov and O. G. Smolyanov},
     title = {Wigner function and diffusion in collisionfree media of quantum particles},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {109--125},
     publisher = {mathdoc},
     volume = {51},
     number = {1},
     year = {2006},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_2006_51_1_a7/}
}
TY  - JOUR
AU  - V. V. Kozlov
AU  - O. G. Smolyanov
TI  - Wigner function and diffusion in collisionfree media of quantum particles
JO  - Teoriâ veroâtnostej i ee primeneniâ
PY  - 2006
SP  - 109
EP  - 125
VL  - 51
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TVP_2006_51_1_a7/
LA  - ru
ID  - TVP_2006_51_1_a7
ER  - 
%0 Journal Article
%A V. V. Kozlov
%A O. G. Smolyanov
%T Wigner function and diffusion in collisionfree media of quantum particles
%J Teoriâ veroâtnostej i ee primeneniâ
%D 2006
%P 109-125
%V 51
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TVP_2006_51_1_a7/
%G ru
%F TVP_2006_51_1_a7
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/