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Hartree-Fock approximation for the time-evolution of extended Fermi gases at high density

Mathphys Analysis Seminar

Date
Thursday, April 3, 2025 16:15 - 17:15
Speaker
Benjamin Schlein (University of Zürich)
Location
Office Bldg West / Ground floor / Heinzel Seminar Room (I21.EG.101)
Series
Seminar/Talk
Tags
Mathematics and CS Seminar
Host
Laszlo Erdös
Contact

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.


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