Séminaire AN-EDP (Niels Benedikter). Effective Dynamics for the Fermion Quantum Many-Body Problem : Hartree-Fock Theory and Beyond

Jeudi 11 février 14:00-15:00 - Niels Benedikter - Université de Milan

Résumé : 95 years after the publication of the Schrödinger equation, the quantum many-body problem still remains a mathematical challenge. The derivation of effective evolution equations provides a tool for an approximate solution, deriving physical predictions in certain scaling limits. I will discuss the coupled mean-field and semiclassical scaling limit for high-density fermionic systems, and sketch the derivation of the time-dependent Hartree-Fock equation in this limit. I will also present some recent results that can be seen as a next-order correction to Hartree-Fock theory, based on a new bosonization method.

Séminaire AN-EDP (Niels Benedikter). Effective Dynamics for the Fermion Quantum Many-Body Problem : Hartree-Fock Theory and Beyond  Version PDF