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Название: Derivation of the transport equation for electrons moving through random impurities
Автор: Herbert Spohn
A single (nonrelativistic, spinless) electron subject to a constant external electric field interacts with impurities located on an infinitely extended lattice by a potential of random strength. The random strength is given by a field of Gaussian random variables. We show the existence of the averaged dynamics and prove that in the weak coupling limit fixed, one obtains the usual transport equation for the velocity distribution.