Trace formulae for dissipative and coupled scattering systems
classification
🧮 math-ph
math.MP
keywords
dissipativeextensionfunctionscatteringsystemsabstractbirman-kreinconsisting
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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.
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