Geodesic
On the kinetics of systems in alternating external fields
Teoretičeskaâ i matematičeskaâ fizika, Tome 7 (1971) no. 3, pp. 395-411 
S. V. Peletminskii; V. D. Tsukanov. On the kinetics of systems in alternating external fields. Teoretičeskaâ i matematičeskaâ fizika, Tome 7 (1971) no. 3, pp. 395-411. http://geodesic.mathdoc.fr/item/TMF_1971_7_3_a9/
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     author = {S. V. Peletminskii and V. D. Tsukanov},
     title = {On the kinetics of systems in alternating external fields},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     volume = {7},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1971_7_3_a9/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

A study is made of the role of ergodic relationships (related to the Hamiltonian of the zeroth approximation $\mathscr H_0$) in the construction of kinetics when there are alternating external fields.The integral equations obtained for the density matrix determine the non-Markov nature of the evolution of a system in a high-frequency external field. In the low-density approximation kinetic equations are obtained for the Wigner distr ibution function with a collision integral that is nonlocal in the time. A study is made of the relationship between the questions considered in this paper and the nonequilibrium statistical operator method of Zubarev and Kalashnikov.

[1] N. N. Bogolyubov, Preprint 781, OIYaI, 1961 | MR

[2] S. V. Peletminskii, A. A. Yatsenko, ZhETF, 53 (1967), 1327

[3] S. V. Peletminskii, A. A. Yatsenko, Preprint ITF-685, Kiev

[4] S. V. Peletminskii, A. A. Yatsenko, TMF, 3 (1970), 287

[5] V. P. Silin, ZhETF, 38 (1960), 1771 ; ЖЭТФ, 41 (1961), 861 | MR | Zbl

[6] R. Nyuton, Teoriya rasseyaniya voln i chastits, «Mir», 1969 | MR

[7] D. N. Zubarev, TMF, 3 (1970), 276 | MR

[8] D. N. Zubarev, V. P. Kalashnikov, TMF, 3 (1970), 126 | MR