Semiclassical analysis of the Neumann Laplacian with constant magnetic field in three dimensions

by Frédéric Hérau (Nantes)

Thursday Sep 4, 2025, 2:00 PM → 3:00 PM Europe/Paris

Salle de Séminaires (Orléans)

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).