A note on fractional moments for the one-dimensional continuum Anderson model

被引：9

作者：

Hamza, Eman ^{[2
]}

Sims, Robert ^{[3
]}

Stolz, Guenter ^{[1
]}

机构：

[1] Univ Alabama, Dept Math, Birmingham, AL 35294 USA

[2] Cairo Univ, Fac Sci, Dept Phys, Cairo 12613, Egypt

[3] Univ Arizona, Dept Math, Tucson, AZ 85721 USA

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2010年 / 365卷 / 02期

基金：

美国国家科学基金会;

关键词：

Anderson model; Fractional moments method; Anderson localization; SCHRODINGER-OPERATORS; LOCALIZATION; BERNOULLI; FLUCTUATION; BOUNDS;

D O I：

10.1016/j.jmaa.2009.11.005

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We give a proof of dynamical localization in the form of exponential decay of spatial correlations in the time evolution for the one-dimensional continuum Anderson model via the fractional moments method. This follows via exponential decay of fractional moments of the Green function, which is shown to hold at arbitrary energy and for any single-site distribution with bounded, compactly supported density. (C) 2009 Elsevier Inc. All rights reserved.

引用

页码：435 / 446

页数：12

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