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

Peter Madsen (CEREMADE, Paris)
Mathematics Seminar
Thursday, 12 March, 2020 | 15:15–16:00 | Aud. D3 (1531-215)
Contact: Søren Fournais
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.