Research Group:
Speaker:
Jussi Behrndt
Institution:
TU Graz
Schedule:
Thursday, January 28, 2016 - 14:15 to 15:45
Location:
A-136
Abstract:
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