- 06-67 F. Germinet, P. Hislop, A. Klein
- Localization for Schroedinger operators with Poisson random potential
Mar 13, 06
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Abstract. We prove exponential and dynamical
localization for the Schroedinger 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.