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Pré-Publication, Document De Travail Année : 2022

Semiclassical spectral gaps of the 3D Neumann Laplacian with constant magnetic field

Résumé

This article deals with the spectral analysis of the semiclassical Neumann magnetic Laplacian on a smooth bounded domain in dimension three. When the magnetic field is constant and in the semiclassical limit, we establish a four-term asymptotic expansion of the low-lying eigenvalues, involving a geometric quantity along the apparent contour of the domain in the direction of the field. In particular, we prove that they are simple.
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Dates et versions

hal-03606341 , version 1 (11-03-2022)

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  • HAL Id : hal-03606341 , version 1

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Frédéric Hérau, Nicolas Raymond. Semiclassical spectral gaps of the 3D Neumann Laplacian with constant magnetic field. 2022. ⟨hal-03606341⟩
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