Generalization of Band Theory to Include Self-Energy Corrections

Abstract

A one-particle Schrödinger-like equation is found whose eigenvalues in certain cases are identical with the energies of the many electron states of a semiconductor or insulator including self energy corrections. The one particle Hamiltonian is expressed in terms of the Coulomb interaction as modified by polarization processes. The relation is given between the modified Coulomb interaction and the dielectric function which is the generalization of the classical dielectric constant. Suggestions are made as to how the one-particle equation including self-energy effects might be solved in practice.