Random Schrodinger operators with a background potential

被引：3

作者：

Asatryan, Hayk ^{[1
]}

Kirsch, Werner ^{[1
]}

机构：

[1] Fernuniv, Fac Math & Comp Sci, Univ Str 1, D-58097 Hagen, Germany

来源：

RANDOM OPERATORS AND STOCHASTIC EQUATIONS | 2019年 / 27卷 / 04期

关键词：

Random Schrodinger operators; essential spectrum; Anderson localization; integrated density of states; LARGE DISORDER; LOCALIZATION; DIFFUSION; ABSENCE;

D O I：

10.1515/rose-2019-2022

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

We consider one-dimensional random Schrodinger operators with a background potential, arising in the inverse scattering problem. We study the influence of the background potential on the essential spectrum of the random Schrodinger operator and obtain Anderson localization for a larger class of one-dimensional Schrodinger operators. Further, we prove the existence of the integrated density of states and give a formula for it.

引用

页码：253 / 259

页数：7

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