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.
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页码：253 / 259
页数：7
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