Olga Aryasova (Inst. of Geophysics, Nat. Acad. of Sciences of Ukraine / Friedrich–Schiller–Univ. Jena)
Elke Rosenberger (UP)
The well known theory of the Tunneling Effect for Schrödinger Operators with multi well potential can be generalized to operators acting on smooth sections of a vector bundle over a Riemannian manifold. We describe how this generalization can be done and which assumptions on the manifold seem to be necessary.