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Semi-classical resolvent estimates for Schrödinger operators

Article type: Research Article

Authors: Vodev, Georgi

Affiliations: Université de Nantes, Département de Mathématiques, UMR 6629 du CNRS, 2, rue de la Houssinière, BP 92208, 44332 Nantes Cedex 03, France. E-mail: vodev@math.univ-nantes.fr

Abstract: We prove optimal resolvent estimates for self-adjoint operators of the form P(h)=(ih∇+b(x,h))2+V(x,h) on L2(Rn), n≥3, where 0<h<<1 is a semi-classical parameter and the coefficients have very little regularity with respect to the radial variable only.

Keywords: resolvent, Schrödinger operators

DOI: 10.3233/ASY-2012-1134

Journal: Asymptotic Analysis, vol. 81, no. 2, pp. 157-170, 2013

Published: 2013
Price: EUR 27.50
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