Wegner estimate for Gaussian random magnetic fields

被引：2

作者：

Ueki, Naomasa ^{[1
]}

机构：

[1] Kyoto Univ, Grad Sch Human & Environm Studies, Kyoto 6068501, Japan

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2012年 / 263卷 / 07期

关键词：

Wegner estimate; Anderson localization; Random magnetic field; Gaussian random field; DENSITY-OF-STATES; ANDERSON LOCALIZATION; SCHRODINGER-OPERATORS;

D O I：

10.1016/j.jfa.2012.06.021

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For the Schrodinger operator on L-2(R-2) with the magnetic field which is a sample path of a stationary Gaussian random field, a Wegner type estimate applicable for the proof of the Anderson localization is proven by referring a recent method by Era's and Hasler, and the theory of the Malliavin calculus. 2012 Elsevier Inc. All rights reserved.

引用

页码：2024 / 2050

页数：27

共 23 条

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