Trace formulae for dissipative and coupled scattering systems
Mathematical Physics
2007-12-20 v1 math.MP
Abstract
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.
Cite
@article{arxiv.0712.3120,
title = {Trace formulae for dissipative and coupled scattering systems},
author = {Jussi Behrndt and Mark M. Malamud and Hagen Neidhardt},
journal= {arXiv preprint arXiv:0712.3120},
year = {2007}
}
Comments
38 pages