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Aix-Marseille Université
Institut de Mathématiques de Marseille (I2M) - UMR 7373
Site Saint-Charles : 3 place Victor Hugo, Case 19, 13331 Marseille Cedex 3
Site Luminy : Campus de Luminy - Case 907 - 13288 Marseille Cedex 9

Séminaire

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

Frédéric Hérau
Université de Nantes
https://www.math.sciences.univ-nantes.fr/~herau/index.php

Date(s) : 17/05/2022   iCal
11h00 - 12h00

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. This is a joint work with N. Raymond.

Emplacement
I2M Chateau-Gombert - CMI, Salle de Séminaire R164 (1er étage)

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