Localization at low energies for attractive Poisson random Schr\"odinger operators
Mathematical Physics
2007-05-23 v2 math.MP
Abstract
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.
Keywords
Cite
@article{arxiv.math-ph/0603035,
title = {Localization at low energies for attractive Poisson random Schr\"odinger operators},
author = {François Germinet and Peter D. Hislop and Abel Klein},
journal= {arXiv preprint arXiv:math-ph/0603035},
year = {2007}
}
Comments
Minor corrections, typos