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math-ph2003
Nonlinear Hartree equation as the mean field limit of weakly coupled fermions
Alexander Elgart, Laszlo Erdos, Benjamin Schlein +1
We consider a system of N weakly interacting fermions with a real analytic pair interaction. We prove that for a general class of initial data there exists a fixed time T such that…
math-ph2003
Adiabatic Charge Transport and the Kubo Formula for Landau Type Hamiltonians
Alexander Elgart, Benjamin Schlein
The adiabatic charge transport is investigated in a two dimensional Landau model perturbed by a bounded potential at zero temperature. We show that if the Fermi level lies in a spe…