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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