On localization for the Schrödinger operator with a Poisson random potential

Physics – Mathematical Physics

Scientific paper

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Scientific paper

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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