On localization for the Schrodinger operator with a Poisson random potential

被引：15

作者：

Germinet, F

Hislop, P

Klein, A

机构：

[1] Univ Cergy Pontoise, Dept Math, F-95302 Cergy Pontoise, France

[2] Univ Kentucky, Dept Math, Lexington, KY 40506 USA

[3] Univ Calif Irvine, Dept Math, Irvine, CA 92697 USA

来源：

COMPTES RENDUS MATHEMATIQUE | 2005年 / 341卷 / 08期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1016/j.crma.2005.09.001

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove exponential localization for the Schrodinger 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

页码：525 / 528

页数：4

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