Abstract for the talk at 27.06.2014 (11:00 h)Arbeitsgemeinschaft ANGEWANDTE ANALYSIS
Claudia Raithel (The University of Texas at Austin, USA)
On the Mean-Field Dynamics of a Fermion Gas
We will briefly consider the mean-field limit of systems of N bosons. Afterwards, we will introduce the Fock space representation and speak about the case when, instead of bosons, we have systems of N fermions. In particular, we will observe that, given certain initial data and regularity of the interaction potential, a system of many fermions will display Hartree-Fock dynamics in the mean-field regime.