05-203 F. Germinet, P. Hislop, A. Klein

On localization for the Schrodinger operator with a Poisson random potential (298K, pdf) Jun 7, 05

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Abstract. We prove exponential localization for the Schr\"odinger operator with a Poisson random potential at the bottom of the spectrum in any dimension. We also prove exponential localization in a prescribed interval for all large Poisson densities. In addition, we obtain dynamical localization and finite multiplicity of the eigenvalues.

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