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Organizers: Maria Esteban (Paris-Dauphine) & Mathieu Lewin (Cergy)


Victor Nistor (Penn State, USA): "Regularity results for the eigenfunctions of the n-electron Scrhoedinger operator"
Monday 27 May 2013, 15:30 - 16:30
Amphi Darboux


Abstract: I will present a global regularity result for the eigenfunctions of the n-electron Schroedinger operator. More precisely, let (-Δ + V)u = λ u, with u square integrable and V of Coulomb type. Let r be the distance to the singularities of V. Then rαα u is square integrable for all multi-indices α. The fact that we obtain global results and that there are no restrictions on α allows us to obtain higher order approximation (numerical) methods for eigenfunctions. I will explain this in detail in a particular case of interest for Density Functional Theory. This is joint work with Catarina Carvalho and Bernd Ammann. Some extensions are joint work with Vladimir Georgescu.