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On localization for the Schrödinger operator with a Poisson random potential

Francois Germinet·Peter Hislop·Abel Klein
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Abstract

We prove exponential localization for the Schrödinger 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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Francois Germinet, Peter Hislop, Abel Klein. 2005-06-07. On localization for the Schrödinger operator with a Poisson random potential. https://arxiv.org/abs/math-ph/0506012

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