(Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik, 2006) Behrndt, Jussi; Malamud, Mark M.; Neidhardt, Hagen
For a scattering system consisting of two selfadjoint extensions of a
symmetric operator A with finite deficiency indices, the scattering matrix
and the spectral shift function are calculated in terms of the Weyl function
associated with the boundary triplet for A* and a simple proof of the
Krein-Birman formula is given. The results are applied to singular
Sturm-Liouville operators with scalar- and matrix-valued potentials, to Dirac
operators and to Schroedinger operators with point interactions.
