On the spectrum of the semiclassical magnetic Laplacian with non-vanishing magnetic field

Léo Morin
Date and time
Conference - Multiscale problems in mathematical physics

The magnetic Laplacian is a Schrödinger operator with magnetic field. In this talk, we focus on its semi-excited spectrum in the semiclassical limit. We show how the classical cyclotron motion influence the semiclassical spectrum, and we deduce a precise description of the eigenvalues in magnetic wells.