Anderson localization for time periodic random Schrodinger operators

被引：9

作者：

Soffer, A ^{[1
]}

Wang, WM

机构：

[1] Rutgers State Univ, Dept Math, New Brunswick, NJ 08903 USA

[2] CNRS, UMR 8628, F-75700 Paris, France

[3] Princeton Univ, Dept Math & Phys, Princeton, NJ USA

来源：

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS | 2003年 / 28卷 / 1-2期

基金：

美国国家科学基金会;

关键词：

Anderson localization; quasi-energy operator; Floquet operator;

D O I：

10.1081/PDE-120019385

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove that at large disorder, Anderson localization in Z(d) is stable under localized time-periodic perturbations by proving that the associated quasi-energy operator has pure point spectrum. The formulation of this problem is motivated by questions of Anderson localization for non-linear Schrodinger equations.

引用

页码：333 / 347

页数：15

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