Scattering matrices and Weyl functions

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dc.bibliographicCitation.volume1121
dc.contributor.authorBehrndt, Jussi
dc.contributor.authorMalamud, Mark M.
dc.contributor.authorNeidhardt, Hagen
dc.date.accessioned2016-12-03T02:45:30Z
dc.date.available2019-06-28T08:20:25Z
dc.date.issued2006
dc.description.abstractFor a scattering system consisting of two selfadjoint extensions of a symmetric operator A with finite deficiency indices, the scattering matrix and the spectral shift function are calculated in terms of the Weyl function associated with the boundary triplet for A* and a simple proof of the Krein-Birman formula is given. The results are applied to singular Sturm-Liouville operators with scalar- and matrix-valued potentials, to Dirac operators and to Schroedinger operators with point interactions.
dc.description.versionpublishedVersioneng
dc.formatapplication/pdf
dc.identifier.issn0946-8633
dc.identifier.urihttps://doi.org/10.34657/3129
dc.identifier.urihttps://oa.tib.eu/renate/handle/123456789/3251
dc.language.isoengeng
dc.publisherBerlin : Weierstraß-Institut für Angewandte Analysis und Stochastik
dc.relation.ispartofseriesPreprint / Weierstraß-Institut für Angewandte Analysis und Stochastik , Volume 1121, ISSN 0946-8633eng
dc.rights.licenseDieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden.ger
dc.rights.licenseThis document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties.eng
dc.subjectScattering system
dc.subjectscattering matrix
dc.subjectboundary triplet
dc.subject(Titchmarsh-) Weyl function
dc.subjectspectral shift function
dc.subjectKrein-Birman formula
dc.subjectSturm-Liouville operator
dc.subjectDirac operator
dc.subjectSchrödinger operator
dc.subject.ddc510
dc.titleScattering matrices and Weyl functions
dc.typereporteng
dc.typeTexteng
dcterms.bibliographicCitation.journalTitlePreprint / Weierstraß-Institut für Angewandte Analysis und Stochastikeng
tib.accessRightsopenAccesseng
wgl.contributorWIASeng
wgl.subjectMathematikeng
wgl.typeReport / Forschungsbericht / Arbeitspapiereng
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