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arXiv · 1506.01737

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

Eric Cancès·David Gontier·Gabriel Stoltz
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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.

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Eric Cancès, David Gontier, Gabriel Stoltz. 2015-06-04. A mathematical analysis of the GW0 method for computing electronic excited energies of molecules. https://doi.org/10.1142/s0129055x16500082

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