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Mean field evolution of fermions with Coulomb interactions

Speaker: 
Chiara Saffirio
Institution: 
University of Zurich
Schedule: 
Thursday, February 2, 2017 - 16:15 to 17:45
Location: 
A-136
Abstract: 

We will consider the many-body evolution of initially confined fermions in a joint mean-field and semiclassical scaling, focusing on the case of Coulomb interaction. We will show that, for initial states close to Slater determinants and under some conditions on the solution of the time-dependent Hatree-Fock equation, the many-body evolution converges towards the Hartree-Fock dynamics. This is a joint work with M. Porta, S. Rademacher, and B. Schlein.

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