- 05-203 F. Germinet, P. Hislop, A. Klein
- On localization for the Schrodinger operator with a Poisson random potential
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.