A mathematical analysis of the GW0 method for computing electronic excited energies of molecules

Abstract

This article is concerned with the GW method for finite electronic systems. In the first step, we provide a mathematical framework for the usual one-body operators that appear naturally in many-body perturbation theory. We then give a rigorous mathematical formulation of the [Formula: see text] equations, and study the well-posedness of these equations, proving the existence of a unique solution in a perturbative regime.