Vol. 7, No. 7, 2014

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Resolvent estimates for the magnetic Schrödinger operator

Georgi Vodev

Vol. 7 (2014), No. 7, 1639–1648
Abstract

We prove optimal high-frequency resolvent estimates for self-adjoint operators of the form

G = Δ + ib(x) + i b(x) + V (x)

on L2(n), n 3, where b(x) and V (x) are large magnetic and electric potentials, respectively.

Keywords
magnetic potential, resolvent estimates
Mathematical Subject Classification 2010
Primary: 47A10
Milestones
Received: 2 January 2014
Revised: 17 May 2014
Accepted: 30 June 2014
Published: 12 December 2014
Authors
Georgi Vodev
Département de Mathématiques, UMR 6629 du CNRS
Université de Nantes
2, rue de la Houssiniere, BP 92208
44332 Nantes Cedex 03
France