Localization at low energies for attractive Poisson random Schrödinger operators

2006/03/13 by Germinet, François, Hislop, Peter D., Klein, Abel
#82B44 #FOS: Physical sciences #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.math-ph/0603035

Abstract

We prove exponential and dynamical localization at low energies for the Schrödinger operator with an attractive Poisson random potential in any dimension. We also conclude that the eigenvalues in that spectral region of localization have finite multiplicity.

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