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Conference on "Mathematical properties of large quantum systems"
Organizers: Maria J. Esteban (CNRS), Mathieu Lewin (CNRS), Robert Seiringer (McGill, Montréal) & Jan Philip Solovej (Copenhagen)


Benjamin Schlein (Bonn, Germany): "Mean field dynamics for fermions"
Friday 21 June 2013, 14:30 - 15:15
Amphi Hermite


For fermionic systems, the mean field regime is naturally coupled with a semiclassical limit. Asymptotically, the many body evolution can be described by the Vlasov equation. A better approximation to the Schroedinger dynamics can be obtained using the Hartree-Fock (or the Hartree) equation. In this talk, we will show precise bounds on the difference between the Schrödinger and the Hartree-Fock dynamics, for initial data close to Slater determinants with the correct semiclassical structure. This is a joint work with Niels Benedikter and Marcello Porta.