Clusters of eigenvalues for the magnetic Laplacian with Robin condition
Research output: Contribution to journal › Article
We study the Schrödinger operator with a constant magnetic field in the exterior of a compact domain in Euclidean space. Functions in the domain of the operator are subject to a boundary condition of the third type (a magnetic Robin condition). In addition to the Landau levels, we obtain that the spectrum of this operator consists of clusters of eigenvalues around the Landau levels and that they do accumulate to the Landau levels from below. We give a precise asymptotic formula for the rate of accumulation of eigenvalues in these clusters, which is independent of the boundary condition.
|Research areas and keywords||
Subject classification (UKÄ) – MANDATORY
|Journal||Journal of Mathematical Physics|
|Publication status||Published - 2016 Jun 1|