Wegner estimate and localization for random magnetic fields

Ueki, Naomasa

doi:https://doi.org/10.18910/4565

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タイトル	Wegner estimate and localization for random magnetic fields
著者	NRID 1000080211069 1000080211069 著者名 Ueki, Naomasa
抄録	Inspired by a work of Hislop and Klopp, we prove precise Wegner estimates for three classes of Schrödinger operators, including Pauli Hamiltonians, with random magnetic fields. The support of the site vector potentials may be noncompact (long-range type random perturbation) and, for one class of the operators, the random vector potentials may be unbounded. In particular Gaussian random fields are also treated. Wegner estimates with correct volume dependence are applied to show Hölder estimates of the densities of states. We give also upper bounds on the infimum of the spectrum to show the existence of the Anderson localization near the infimum.
出版者	Osaka University and Osaka City University, Departments of Mathematics
収録物名	Osaka Journal of Mathematics
巻(号)	45(3)
ページ	565-608
刊行年月	2008-09
言語	英語
ハンドルURL	https://hdl.handle.net/11094/4565
DOI	https://doi.org/10.18910/4565
PISSN	00306126
NCID	AA00765910
アクセス権	open access
出版タイプ	Version of Record
カテゴリ	紀要論文 Departmental Bulletin Paper
カテゴリ	Osaka Journal of Mathematics / Volume 45, Number 3　(2008）

資源タイプ	紀要論文
ローカル資源タイプ	紀要論文
DCMI資源タイプ	text
作成日	2008-09
DCTERMS.bibliographicCitation	Osaka Journal of Mathematics. 2008, 45(3), p. 565-608
DC.title	Wegner estimate and localization for random magnetic fields
DC.creator	Ueki, Naomasa
DC.publisher	Osaka University and Osaka City University, Departments of Mathematics
DC.language' scheme='DCTERMS.RFC1766	英語
DC.type' scheme='DCTERMS.DCMIType	text
DCTERMS.issued' scheme='DCTERMS.W3CDTF	2008-09
DCTERMS.abstract	Inspired by a work of Hislop and Klopp, we prove precise Wegner estimates for three classes of Schrödinger operators, including Pauli Hamiltonians, with random magnetic fields. The support of the site vector potentials may be noncompact (long-range type random perturbation) and, for one class of the operators, the random vector potentials may be unbounded. In particular Gaussian random fields are also treated. Wegner estimates with correct volume dependence are applied to show Hölder estimates of the densities of states. We give also upper bounds on the infimum of the spectrum to show the existence of the Anderson localization near the infimum.
DC.identifier	10.18910/4565
DC.format	application/pdf
citation_doi	https://doi.org/10.18910/4565
citation_title	Wegner estimate and localization for random magnetic fields
citation_author	Ueki, Naomasa
citation_publisher	Osaka University and Osaka City University, Departments of Mathematics
citation_language	英語
citation_date	2008-09
citation_journal_title	Osaka Journal of Mathematics
citation_volume	45
citation_issue	3
citation_firstpage	565
citation_lastpage	608
citation_public_url	https://hdl.handle.net/11094/4565
citation_doi_detail	10.18910/4565

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