- 06-109 Jussi Behrndt, Mark M. Malamud, Hagen Neidhardt
- Scattering matrices and Weyl functions
(486K, pdf)
Apr 7, 06
-
Abstract ,
Paper (src),
View paper
(auto. generated pdf),
Index
of related papers
-
Abstract. For a scattering system $\{A_\Theta,A_0\}$ consisting of
selfadjoint extensions $A_\Theta$ and $A_0$ of a symmetric operator
$A$ with finite deficiency indices, the scattering matrix
$\{S_\Theta(\gl)\}$ and a spectral shift function
$\xi_\Theta$ 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 potentials, to
Dirac operators and to Schr\"odinger operators with point
interactions.
- Files:
06-109.src(
06-109.keywords ,
mp_arc.pdf.mm )