We present some results on 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.
Semiclassical analysis of the Neumann Laplacian with constant magnetic field in three dimensions
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Nom de l'orateur
Frédéric Herau
Etablissement de l'orateur
LMJL
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Lieu de l'exposé