Séminaire Orléans
Semiclassical analysis of the Neumann Laplacian with constant magnetic field in three dimensionsFrédéric Hérau (Nantes)
Thursday 04 September 2025 14:00 - Orléans - Salle de Séminaires
Résumé :
We present results about 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 five-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.
This is a joint work with Nicolas Raymond (Angers).
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