Dispersion self-energy of an impurity in a dielectric

Abstract
The effect of an impurity on the spectral properties of a dielectric medium is analyzed, using the dispersion self-energy formalism. Estimates are made of the energy shifts of the impurity. The case of the free electron in a dielectric medium is discussed as the limit of a loosely bound impurity, and a generalization of the stationary polaron picture is derived. The effect of the finiteness of the dielectric medium on the energy shift is analyzed within this formalism, taking the example of an electron in a thin dielectric film.

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