Eigenvalue asymptotics for locally perturbed second-order differential operators

摘要

We consider the appearance of discrete spectrum in spectral gaps of magnetic Schrodinger operators with electric background field under strong, localised perturbations. We show that for compactly supported perturbations the asymptotics of the counting function of the occurring eigenvalues in the limit of a strong perturbation does not depend on the magnetic field nor on the background field.