Department of Mathematical Sciences, Chalmers University of Technology and Göteborg University, 412 96 Göteborg, Sweden
Copyright © 2009 Mikael Persson. This is an open access article distributed under the
Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
We study the Schrödinger operator with a constant magnetic field in the exterior of a compact domain in
, . The spectrum of this operator consists of clusters of eigenvalues around the Landau levels. We
give asymptotic formulas for the rate of accumulation of eigenvalues in these clusters. When the compact is a Reinhardt domain we are able to show a more precise asymptotic formula.