Apr 3, 2025
Hartree-Fock approximation for the time-evolution of extended Fermi gases at high density
Mathphys Analysis Seminar
Date: April 3, 2025 |
4:15 pm –
5:15 pm
Speaker:
Benjamin Schlein, University of Zürich
Location: Office Bldg West / Ground floor / Heinzel Seminar Room (I21.EG.101)
Language:
English
We consider a gas of N fermions at large (but fixed, independent of N) density. We show that the many-body time-evolution can be approximated by the nonlinear Hartree-Fock equation. We establish convergence at the level of reduced one-particle density matrices, proving global bounds in the Hilbert-Schmidt norm. For fermions with relativistic dispersion, we also obtain convergence for the expectation of local observables. This is a joint work with Luca Fresta and Marcello Porta.
