A mathematical analysis of the GW0 method for computing electronic excited energies of molecules
Mathematical Physics
2025-05-20 v3 math.MP
Abstract
This paper analyses the GW method for finite electronic systems. In a first step, we provide a mathematical framework for the usual one-body operators that appear naturally in many-body perturbation theory. We then discuss the GW equations which construct an approximation of the one-body Green's function, and give a rigorous mathematical formulation of these equations. Finally, we study the well-posedness of the GW0 equations, proving the existence of a unique solution to these equations in a perturbative regime.
Keywords
Cite
@article{arxiv.1506.01737,
title = {A mathematical analysis of the GW0 method for computing electronic excited energies of molecules},
author = {Eric Cancès and David Gontier and Gabriel Stoltz},
journal= {arXiv preprint arXiv:1506.01737},
year = {2025}
}