QLunch: Léo Morin

Speaker: Léo Morin, Aarhus University

Title: Semiclassical spectrum of the magnetic Laplacian with inhomogeneous magnetic fields

Abstract: We describe some spectral properties of magnetic Lapacians in the semiclassical limit, depending on the variations of the field. In this regime, we observe quantum footprints of the classical dynamics in the spectrum. When the magnetic field has a single well, we deduce asymptotic expansions of semi-excited eigenvalues, and Weyl laws.