Aarhus Universitets segl

CANCELLED The quantum uniform electron gas and local density approximation in density functional theory

Peter Madsen (CEREMADE, Paris)
Torsdag 12. marts 2020 15:15–16:00 Aud. D3 (1531-215)
Mathematics seminar
The local density approximation for the Schrödinger energy of Coulomb systems at a prescribed particle density has been widely used in physics and chemistry for a long time, but only recently has the validity of the approximation been proven rigorously in the grand canonical setting by Lewin, Lieb, and Seiringer. In this talk I will briefly present the new developments and discuss an ongoing project to generalize the results to the canonical setting. A central difficulty for this is to construct quantum trial states with a given fixed particle density.
This is joint work with Mathieu Lewin.
Kontakt: Søren Fournais Revideret: 12.03.2020