On the kinetics of subsystems interacting with Bosons

V.F. Los' and A.G. Martynenko

Physica A: Statistical Mechanics and its Applications, 1986, vol. 138, issue 3, 518-536

Abstract: A closed Markovian equation for the density matrix of a subsystem interacting with a boson field is obtained. Boson amplitudes are exclued from this equation. The generalized Boltzmann equation for the case of the weak electron-phonon interaction, the kinetic equation for the density matrix and the Fokker-Planck equation for the distribution function of the polaron in the Feynman model (arbitrary coupling) and the Thornber-Feynman result for nonlinear conductivity in polar crystals are obtained with the aid of corresponding approximations for the subsystem dynamics in the equation obtained. A possibility for the calculation of corrections to the Boltzmann equation is shown.

Date: 1986
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:138:y:1986:i:3:p:518-536

DOI: 10.1016/0378-4371(86)90031-2

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