Wegner estimates and Anderson localization for alloy-type potentials
type: Item
instance of: scholarly article
title: Wegner estimates and Anderson localization for alloy-type potentials
zbMATH Open document ID: 0863.35069
DOI: 10.1007/PL00004521
author: Werner Kirsch
published in: Mathematische Zeitschrift
publication date: 1997-05-27T00:00:00Z
full work available at URL: https://eudml.org/doc/174863
review text: This paper proves a Wegner estimate for random Schrödinger operators on \(L^2(\mathbb{R}^d)\). This estimate is one of the main ingredients to prove Anderson localization via the multiscale analysis technique. The random potential considered is given by \(V_w(x)=q_i(w)f(x-i)\), where \(q_i\) are i.i.d. random variables with common distribution \(g(\lambda)d\lambda\). \(f\) is supposed to be nonnegative and strictly positive on an open set.
reviewed by: Werner Kirsch
Mathematics Subject Classification ID: 35P05
Mathematics Subject Classification ID: 35J10
zbMATH DE Number: 922491
zbMATH Keywords: Wegner estimate
zbMATH Keywords: Schrödinger operators
zbMATH Keywords: Anderson localization
MaRDI profile type: Publication
OpenAlex ID: W2032086015
description: scientific article; zbMATH DE number 922491