Master kinetic equation for a particle in the field of randomly varying scatterers
Teoretičeskaâ i matematičeskaâ fizika, Tome 36 (1978) no. 2, pp. 240-251
Cet article a éte moissonné depuis la source Math-Net.Ru
A study is made of the quantum-mechanical scattering of a particle in the potential field of a collection of scatterers whose positions in space and switching-on times are distributed randomly. On the basis of the method of solution of the stochastic Liouville–von Neumann equation developed earlier by one of the authors, a kinetic equation (of the type of the Pauli equation) for the diagonal elements of the density matrix of the particle is derived under the condition of a homogeneous distribution of the scatterers in space. Rigorous inequaI ties are obtained that determine the accuracy of the kinetic equation, and from these there follow limiting conditions on its applicability for describing relaxation and scattering processes.
@article{TMF_1978_36_2_a7,
author = {Yu. N. Barabanenkov and V. D. Ozrin},
title = {Master kinetic equation for a~particle in the field of randomly varying scatterers},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {240--251},
year = {1978},
volume = {36},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1978_36_2_a7/}
}
TY - JOUR AU - Yu. N. Barabanenkov AU - V. D. Ozrin TI - Master kinetic equation for a particle in the field of randomly varying scatterers JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1978 SP - 240 EP - 251 VL - 36 IS - 2 UR - http://geodesic.mathdoc.fr/item/TMF_1978_36_2_a7/ LA - ru ID - TMF_1978_36_2_a7 ER -
Yu. N. Barabanenkov; V. D. Ozrin. Master kinetic equation for a particle in the field of randomly varying scatterers. Teoretičeskaâ i matematičeskaâ fizika, Tome 36 (1978) no. 2, pp. 240-251. http://geodesic.mathdoc.fr/item/TMF_1978_36_2_a7/
[1] Yu. N. Barabanenkov, TMF, 29 (1976), 244 | MR
[2] S. Fudzita, Vvedenie v neravnovesnuyu kvantovuyu statisticheskuyu mekhaniku, «Mir», 1969
[3] I. Prigozhin, Neravnovesnaya statisticheskaya mekhanika, «Mir», 1964
[4] Yu. L. Daletskii, M. G. Krein, Ustoichivost reshenii differentsialnykh uravnenii v banakhovom prostranstve, «Nauka», 1970 | MR
[5] Yu. N. Barabanenkov, V. D. Ozrin, Izv. VUZov, radiofizika, 20 (1977), 712 | MR
[6] U. Fano, Phys. Rev., 131 (1963), 252 | DOI