Abstract : We will consider the many-body evolution of initially confined fermions interacting through a singular potential. In a joint mean-field and semiclassical scaling and using second quantization techniques, we will show that, for mixed states enjoying a semiclassical structure, the many-body dynamics can be approximated in Schatten norms by the time-dependent Hartree-Fock equation. In particular, we will highlight the advantages and drawbacks of considering such strong topology instead of the quantum Wasserstein distance introduced in [F. Golse, C. Mouhot and T. Paul, Commun. Math. Phys. 343, 165-205 (2016]).
https://univ-cotedazur.zoom.us/j/6040812151 Meeting ID: 604 081 2151. Acces code: (None).