Eigenvalue clusters of the Landau Hamiltonian in the exterior of a compact domain

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/135218We consider the Schrodinger operator with a constant magnetic field in the exterior of a compact domain on the plane. The spectrum of this operator consists of clusters of eigenvalues around the Landau levels. We discuss the rate of accumulation of eigenvalues in a fixed cluster.16 pages, LatexSpectral TheoryMathematical Physics35P20, 35Q40Eigenvalue clusters of the Landau Hamiltonian in the exterior of a compact domaintext