Wegner estimate for Gaussian random magnetic fields

For the Schrödinger operator on L2(R2) 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 Erdős and Hasler, and the theory of the Malliavin calcul...

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Bibliographic Details
Published inJournal of functional analysis Vol. 263; no. 7; pp. 2024 - 2050
Main Author Ueki, Naomasa
Format Journal Article
LanguageEnglish
Published Elsevier Inc 01.10.2012
Subjects
Anderson localization
Gaussian random field
Random magnetic field
Wegner estimate
Anderson localization
Gaussian random field
Random magnetic field
Wegner estimate
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Summary:For the Schrödinger operator on L2(R2) 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 Erdős and Hasler, and the theory of the Malliavin calculus.
ISSN:0022-1236
1096-0783
DOI:10.1016/j.jfa.2012.06.021