207 citations · 827 across the 40 of their papers we have counts for
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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…
Moment Analysis for Localization in Random Schroedinger Operators
Michael Aizenman, Alexander Elgart, Serguei Naboko +2
We study localization effects of disorder on the spectral and dynamical properties of Schroedinger operators with random potentials. The new results include exponentially decaying…
Transport and Dissipation in Quantum Pumps
J. E. Avron, A. Elgart, G. M. Graf +1
This paper is about adiabatic transport in quantum pumps. The notion of ``energy shift'', a self-adjoint operator dual to the Wigner time delay, plays a role in our approach: It de…
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…