Geodesic
Generalized kinetic equation for a dynamical system interacting with a phonon field
Teoretičeskaâ i matematičeskaâ fizika, Tome 43 (1980) no. 1, pp. 3-17 
N. N. Bogolyubov; N. N. Bogolyubov (Jr.). Generalized kinetic equation for a dynamical system interacting with a phonon field. Teoretičeskaâ i matematičeskaâ fizika, Tome 43 (1980) no. 1, pp. 3-17. http://geodesic.mathdoc.fr/item/TMF_1980_43_1_a0/
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Voir la notice de l'article provenant de la source Math-Net.Ru

Derivation of the kinetic equation proposed in the paper [1] is generalised and methods of studying the electron-phonon system and excluding phonon operators from corresponding kinetic equation are formulated. In particular, the polaron kinetic equation is obtained for the interaction of the electron with the phonon field. If a certain approximation is made in this equation, it implies, for instance, the exact Boltzmann equation for the polaron.

[1] N. N. Bogolubov, Preprint JINR E17-11822, Dubna, 1978 | MR

[2] J. T. Devreese, R. Evard, Linear and Nonlinear Transport in Solids, Plenum Press, 1976, p. 91

[3] K. K. Thornber, R. P. Feynman, Phys. Rev., B1 (1970), 4099 | DOI

[4] N. N. Bogolyubov, Izbrannye trudy, t. 3, «Naukova dumka», Kiev, 1971, str. 213 | MR

[5] Dzh. Zaiman, Elektrony i fonony, IL, 1962