Filters

2006 - 20072

More filters

20192
Reset filters

Settings

Author: Neidhardt, Hagen × End date: 2009 × Start date: 2000 × Has files: Yes × Type: Text × Type: report × Subject: spectral shift function ×

Search Results

Now showing 1 - 2 of 2
  • Thumbnail Image
    Item
    Scattering matrices and Weyl functions
    (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.
  • Thumbnail Image
    Item
    Trace formulae for dissipative and coupled scattering systems
    (Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik, 2007) Behrndt, Jussi; Malamud, Mark; Neidhardt, Hagen
    For scattering systems consisting of a (family of) maximal dissipative extension(s) and a selfadjoint extension of a symmetric operator with finite deficiency indices, the spectral shift function is expressed in terms of an abstract Titchmarsh-Weyl function and a variant of the Birman-Krein formula is proved.