Strong-electric-field eigenvalue asymptotics for the perturbed magnetic Schrödinger operator

We consider the Schrödinger operator with constant full-rank magnetic field, perturbed by an electric potential which decays at infinity, and has a constant sign. We study the asymptotic behaviour for large values of the electric-field coupling constant of the eigenvalues situated in the gaps of the essential spectrum of the unperturbed operator.Partly supported by the Bulgarian Science Foundation under contract MM 33/91