Mathematics

In this talk we discuss a recent result on the representation of the scattering matrix in terms of an abstract Weyl function. The general result can be  applied to scattering problems for Schrödinger operators with delta-type interactions on hyper-surfaces, and scattering problems involving Neumann and Robin realizations of Schrödinger operators on unbounded domains. In both applications we obtain formulas for the corresponding scattering matrices in terms of Dirichlet-to-Neumann maps. This talk is based on joint work with Mark Malamud and Hagen Neidhardt