effective interaction

An effective electron-electron interaction potential in a metal film is numerically calculated within the jellium model.   The effect of the film thickness on this potential is studied and it is found that even minor changes in the film thickness cause significant changes in the behavior of this potential.

A system of electrons in a metal slab, which is described by the jellium model, is considered. The potential that forms a surface of the slab is modeled by the infinite square well potential. By using some approximations, the analytical expressions for effective inter-electron interaction inside the slab and outside it are obtained.