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Estimations semi-classiques pour l'opérateur de Schrödinger à potentiel de type coulombien et avec champ magnétique

Article type: Research Article

Authors: Mohamed, Abderemane

Affiliations: Université de Nantes, Faculté des Sciences, Département de Mathématiques URA 760, 2, rue de la Houssinière, 44072 Nantes Cedex 03, France

Abstract: We give a BKW method in the semiclassical analysis of a Schrödinger operator in a magnetic field, with an electrical potential having singularities of Coulombian type. As applications, we obtain sharp estimates for the splitting in the double wells problem and for the first band in the periodic problem.

DOI: 10.3233/ASY-1991-4303

Journal: Asymptotic Analysis, vol. 4, no. 3, pp. 235-255, 1991

Revision received 14 July 1990
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Published: 1991
Price: EUR 27.50
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