57 citations · 222 across the 49 of their papers we have counts for
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Optimal Wegner estimate and the density of states for N-body, interacting Schrodinger operators with random potentials
Peter D. Hislop, Frederic Klopp
We prove an optimal one-volume Wegner estimate for interacting systems of quantum particles moving in the presence of random potentials. The proof is based on the scale-free un…
Edge currents and eigenvalue estimates for magnetic barrier Schrödinger operators
Nicolas Dombrowski, Peter D. Hislop, Eric Soccorsi
We study two-dimensional magnetic Schrödinger operators with a magnetic field that is equal to b>0 for x > 0 and (-b) for x < 0. This magnetic Schrödinger operator exhibits a magne…
Some remarks on resonances in even-dimensional Euclidean scattering
T. J. Christiansen, P. D. Hislop
The purpose of this paper is to prove some results about quantum mechanical black box scattering in even dimensions . We study the scattering matrix and prove some identi…
Edge states induced by Iwatsuka Hamiltonians with positive magnetic fields
Peter D. Hislop, Eric Soccorsi
We study purely magnetic Schrödinger operators in two-dimensions with magnetic fields that depend only on the -coordinate. The magnetic field is assumed to…