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.
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页码：525 / 528
页数：4
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