Finite Rank Perturbations, Scattering Matrices and Inverse Problems

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dc.creatorBehrndt, Jussi
dc.creatorMalamud, Mark M.
dc.creatorNeidhardt, Hagen
dc.date2009-02-20
dc.date.accessioned2026-07-07T12:45:01Z
dc.date.available2026-07-07T12:45:01Z
dc.descriptionIn this paper the scattering matrix of a scattering system consisting of two selfadjoint operators with finite dimensional resolvent difference is expressed in terms of a matrix Nevanlinna function. The problem is embedded into an extension theoretic framework and the theory of boundary triplets and associated Weyl functions for (in general nondensely defined) symmetric operators is applied. The representation results are extended to dissipative scattering systems and an explicit solution of an inverse scattering problem for the Lax-Phillips scattering matrix is presented.
dc.identifierhttps://arxiv.org/abs/0902.3568
dc.identifierhttp://arxiv.org/abs/0902.3568
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/220968
dc.subjectMathematical Physics
dc.subject47A40, 81U40, 47A55, 47B44
dc.titleFinite Rank Perturbations, Scattering Matrices and Inverse Problems
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