Spectral properties of magnetic Hamiltonians on the half-plane

Vincent Bruneau, Institut de Mathématique de Bordeaux, France

Abstract

We are interested in the Schrödinger operator with constant magnetic field in dimension 2 perturbed by an electric potential. After a review of the results in the whole plane and on a band, we will study the phenomena of spectral accumulation in the case of the half-plane with Dirichlet or Neumann boundary condition. These results on the half-plane, are drawn from works in collaboration with P. Miranda and G. Raikov.