Resolvent estimates for perturbations by large magnetic potentials
Journal Article
·
· Journal of Mathematical Physics
- Departamento de Matemática, Universidade Federal de Pernambuco, CEP. 50540-740 Recife-Pe (Brazil)
- Département de Mathématiques, Université de Nantes, UMR 6629 du CNRS, 2, rue de la Houssinière, BP 92208, 44332 Nantes Cedex 03 (France)
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.
- OSTI ID:
- 22251571
- Journal Information:
- Journal of Mathematical Physics, Vol. 55, Issue 2; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
- Country of Publication:
- United States
- Language:
- English
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