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math-ph2025
Derivation of Hartree-Fock Dynamics and Semiclassical Commutator Estimates for Fermions in a Magnetic Field
Niels Benedikter, Chiara Boccato, Domenico Monaco +1
We study the quantum dynamics of a large number of interacting fermionic particles in a constant magnetic field. In a coupled mean-field and semiclassical scaling limit, we show th…
math-ph2023
Weyl laws for interacting particles
Ngoc Nhi Nguyen
We study grand-canonical interacting fermionic systems in the mean-field regime, in a trapping potential. We provide the first order term of integrated and pointwise Weyl laws, but…