Jussi Behrndt, Mark M. Malamud, Hagen Neidhardt
Trace formulae for dissipative and coupled scattering systems
(451K, pdf)

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.