Self-adjoint Extensions of Schroedinger Operators with δ-magnetic Fields on Riemannian Manifolds

摘要

We consider the magnetic Schrodinger operator on a Riemannian manifold M. We assume the magnetic field is given by the sum of a regular field and the Dirac 5 measures supported on a discrete set F in M. We give a complete characterization of the self-adjoint extensions of the minimal operator, in terms of the boundary conditions. The result is an extension of the former results by Dabrowski-Siiovic'ek and Exner-Stovicek-Vytras.