Jussi Behrndt, Mark M. Malamud, Hagen Neidhardt
Published 2007-12-19Version 1
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.
Scattering matrices and Weyl functions
A lower Wegner estimate and bounds on the spectral shift function for continuum random Schrödinger operators
Asymptotics near +-m of the spectral shift function for Dirac operators with non-constant magnetic fields
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