Localization at low energies for attractive Poisson random Schrödinger operators

Details Localization at low energies for attractive Poisson random Schrödinger operators Localization at low energies for attractive Poisson random Schrödinger operators

2006-03-13

arxiv.org/abs/math-ph/0603035v2

Physics

Mathematical Physics

Minor corrections, typos

Scientific paper

We prove exponential and dynamical localization at low energies for the
Schr\"odinger operator with an attractive Poisson random potential in any
dimension. We also conclude that the eigenvalues in that spectral region of
localization have finite multiplicity.

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