Wegner estimate and localization for random magnetic fields
type: Item
instance of: scholarly article
title: Wegner estimate and localization for random magnetic fields
zbMATH Open document ID: 1153.82009
author: Naomasa Ueki
published in: Osaka Journal of Mathematics
publication date: 2008-11-07T00:00:00Z
full work available at URL: https://projecteuclid.org/euclid.ojm/1221656642
review text: The paper deals with Schrödinger's operator with magnetic field, and its extends \textit{P. D. Hislop} and \textit{F. Kopp}'s method [J. Funct. Anal. 195, 12--47 (2002; Zbl 1013.60046)] to obtain more accurate Wegner estimates. One considers successively random magnetic Schrödinger's operators without scalar potentials, random Pauli Hamiltonians with an anomalous magnetic moment, random magnetic Schrödinger's operators with nonrandom scalar potentials and eventually operators involving Gaussian random vector potentials. In each case Wegner type estimates are obtained, as well as bounds on the infimum of the spectrum.
Mathematics Subject Classification ID: 82B44
Mathematics Subject Classification ID: 35R60
Mathematics Subject Classification ID: 47B80
Mathematics Subject Classification ID: 47N55
Mathematics Subject Classification ID: 60H25
Mathematics Subject Classification ID: 82B05
zbMATH DE Number: 5363221
zbMATH Keywords: Wegner estimate
zbMATH Keywords: Schrödinger operator
zbMATH Keywords: Anderson localization
reviewed by: Guy Jumarie
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 5363221