Self‐Energy of Charge in Superlattice

Abstract

In /1/ the exact expression for the potential of a point charge in a periodic layered system, consisting of alternating layers with two different values of the dielectric constant is found. Knowing of the potential enables one to solve an exciton spectrum problem in such a system and this problem was solved in a certain region of parameter values. However, a s for the excitonic spectrum and for the single-particle one the interaction of each charge with the surrounding medium, which is polarized by the charge itself, may turn out to be essential. Such a "self-force" in the case of separate film, which is surrounded by a medium, the dielectric constant of which is much smaller than that of the film, was found in /2/.