Abstract
The Bethe-Salpeter equation for scalar waves in a random dielectric medium is considered. An eigenfunction expansion and the Ward identity, generalized for the case of an energy dependent potential, are used to find the asymptotic solution. An exact expression for the diffusion constant is obtained in the form of the generalized Green-Kubo formula. Also the accepted point of view on the absence of diffusion in two-dimensional random systems is argued.
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