Use of Green Functions in Atomic and Molecular Calculations. III. Second-Order Perturbation of the Hydrogen Molecular Ion

Abstract

We have derived analytical expressions for the second-order perturbation energy of a hydrogen atom, perturbed by a point charge λ at a distance R. Here the charge λ is taken as the perturbation parameter. The calculations make use of Green-function techniques and of the hydrogen-atom Green function that we derived in a previous publication.