Localization for Schrödinger operators with Poisson random potential
Abel Klein
University of California, Irvine, United StatesFrançois Germinet
Université de Cergy-Pontoise, FrancePeter D. Hislop
University of Kentucky, Lexington, United States

Abstract
We prove exponential and dynamical localization for the Schrödinger operator with a nonnegative Poisson random potential at the bottom of the spectrum in any dimension. We also conclude that the eigenvalues in that spectral region of localization have finite multiplicity. We prove similar localization results in a prescribed energy interval at the bottom of the spectrum provided the density of the Poisson process is large enough.
Cite this article
Abel Klein, François Germinet, Peter D. Hislop, Localization for Schrödinger operators with Poisson random potential. J. Eur. Math. Soc. 9 (2007), no. 3, pp. 577–607
DOI 10.4171/JEMS/89