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From the Laplacian with
variable magnetic field to the electric Laplacian in the
semiclassical limit
Nicolas Raymond |
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Vol. 6 (2013), No. 6, 1289–1326
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Abstract |
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We consider a twisted magnetic Laplacian with Neumann condition on a smooth and bounded domain of in the semiclassical limit . Under generic assumptions, we prove that the eigenvalues admit a complete asymptotic expansion in powers of . |
Keywords
semiclassical analysis, magnetic field, normal form
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Mathematical Subject Classification 2010
Primary: 35J10, 35P15
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Milestones
Received: 5 May 2012
Revised: 2 August 2012
Accepted: 18 October 2012
Published: 18 November 2013
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Authors |
| Nicolas Raymond | |
| Institut de recherche mathématique
de Rennes Université de Rennes 1 35042 Rennes Cedex France |
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