Hartree-Fock approximation for the time-evolution of extended Fermi gases at high density
报告人：Benjamin Schlein (University of Zurich)
时间：2025-06-13 09:30-11:30
地点：智华楼四元厅
Abstract: 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.
