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math-ph2022
Two Comments on the Derivation of the Time-Dependent Hartree-Fock Equation
Niels Benedikter, Davide Desio
We revisit the derivation of the time-dependent Hartree-Fock equation for interacting fermions in a regime coupling a mean-field and a semiclassical scaling, contributing two comme…
math-ph2022
Effective Dynamics of Interacting Fermions from Semiclassical Theory to the Random Phase Approximation
Niels Benedikter
I review results concerning the derivation of effective equations for the dynamics of interacting Fermi gases in a high-density regime of mean-field type. Three levels of effective…