3 citations · 6 across the 5 of their papers we have counts for
5 papers
Mean Field Dynamics of Boson Stars
Alexander Elgart, Benjamin Schlein
We consider a quantum mechanical system of N bosons with relativistic dispersion interacting through a mean field Coulomb potential (attractive or repulsive). We choose the initial…
Gross-Pitaevskii Equation as the Mean Field Limit of Weakly Coupled Bosons
Alexander Elgart, Laszlo Erdos, Benjamin Schlein +1
We consider the dynamics of boson systems interacting through a pair potential where . We denote the solution to the -particl…
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…
Fractional Moment Methods for Anderson Localization in the Continuum
Michael Aizenman, Alexander Elgart, Sergey Naboko +2
The fractional moment method, which was initially developed in the discrete context for the analysis of the localization properties of lattice random operators, is extended to appl…
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…