To the theory of electron mobility in Froehlich model of the polaron

Abstract

The new, exact, generalized quantum evolutionary (kinetic) equations for double-time equilibrium correlation functions and statistical operator of electron–phonon system are derived with the help of projection operator method without using the random phase approximation. Electronic conductivity and drift mobility consistent uniform quantum theory have been constructed for Froehlich model of the polaron with the help of these equations. This theory reproduces generalized Osaka result for electron’s mobility at small frequencies and FHIP(Feynman–Hellwarth–Iddings–Platzman) theory at high frequencies of applied external electric field on crystal, respectively