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Pré-Publication, Document De Travail Année : 2023

Spectral asymptotics of the Neumann Laplacian with variable magnetic field on a smooth bounded domain in three dimensions

Résumé

This article is devoted the semiclassical spectral analysis of the Neumann magnetic Laplacian on a smooth bounded domain in three dimensions. Under a generic assumption on the variable magnetic field (involving a localization of the eigenfunctions near the boundary), we establish a semiclassical expansion of the lowest eigenvalues. In particular, we prove that the eigenvalues become simple in the semiclassical limit.
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Dates et versions

hal-04146514 , version 1 (30-06-2023)

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Paternité

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  • HAL Id : hal-04146514 , version 1

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Maha Aafarani, Khaled Abou Alfa, Frédéric Hérau, Nicolas Raymond. Spectral asymptotics of the Neumann Laplacian with variable magnetic field on a smooth bounded domain in three dimensions. 2023. ⟨hal-04146514⟩
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