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

Author: Eric Cancès, David Gontier, Gabriel Stoltz
Url: http://arxiv.org/abs/1506.01737
Format: Ps, Pdf
Year: 2015
Category: The GW method
Pages: 65
Clicks: 267

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.

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