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David Gontier - "A mathematical study of the GW0 method for computing electronic excited states of molecules"

The aim of this talk is to present a mathematical framework to understand the properties of the GW0 method for finite systems, which has been proven very successful to predict electronic excited energies.

This method relies on the study of the one-body Green's function for electronic systems. The GW0 equations are obtained from many-body perturbation theory. They involve many operator-valued distributions, among which the dynamically screened Coulomb operator, the self-energy and the Green's function.

The mathematical definition of these operators will be clarified during the talk, and we will prove that the GW0
equations are well-posed in some perturbative regime.

This is joint work with Éric Cancès and Gabriel Stoltz.

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