On localization for the Schr\"odinger operator with a Poisson random potential
数学物理
2007-05-23 v2 math.MP
摘要
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.
引用
@article{arxiv.math-ph/0506012,
title = {On localization for the Schr\"odinger operator with a Poisson random potential},
author = {Francois Germinet and Peter Hislop and Abel Klein},
journal= {arXiv preprint arXiv:math-ph/0506012},
year = {2007}
}