Mean-field evolution and semiclassical limit of many interacting fermions
Chiara Saffirio (University of Basel)
Abstract: We will review recent progresses in the derivation of effective evolution equations for the dynamics of many weakly interacting fermions. We will focus on the mean-field regime and couple it with a semiclassical limit to obtain, as the number of particles goes to infinity, the Hartree-Fock and the Vlasov equations. We will comment on the class of singular interactions and quantum states that we are able to treat, drawing a comparison with the PDE theory of the limiting equations. Based on joint works with J. Chong and L. Laflèche.
mathematical physics
Audience: researchers in the discipline
One world IAMP mathematical physics seminar
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| Organizers: | Margherita Disertori*, Wojciech Dybalski*, Ian Jauslin, Hal Tasaki* |
| *contact for this listing |