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Title: Resolvent estimates for perturbations by large magnetic potentials

We prove optimal high-frequency resolvent estimates for self-adjoint operators of the form G = −Δ + ib(x) · ∇ + i∇ · b(x) + V(x) on L{sup 2}(R{sup n}), n ⩾ 3, where b(x) and V(x) are large magnetic and electric potentials, respectively. No continuity of the magnetic potential is assumed.
Authors:
;  [1] ;  [2]
  1. Departamento de Matemática, Universidade Federal de Pernambuco, CEP. 50540-740 Recife-Pe (Brazil)
  2. Département de Mathématiques, Université de Nantes, UMR 6629 du CNRS, 2, rue de la Houssinière, BP 92208, 44332 Nantes Cedex 03 (France)
Publication Date:
OSTI Identifier:
22251571
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Mathematical Physics; Journal Volume: 55; Journal Issue: 2; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; DISTURBANCES; ELECTRIC POTENTIAL; PERTURBATION THEORY; POTENTIALS