Scattering matrices and Weyl functions
| dc.bibliographicCitation.seriesTitle | WIAS Preprints | eng |
| dc.bibliographicCitation.volume | 1121 | |
| dc.contributor.author | Behrndt, Jussi | |
| dc.contributor.author | Malamud, Mark M. | |
| dc.contributor.author | Neidhardt, Hagen | |
| dc.date.accessioned | 2016-12-03T02:45:30Z | |
| dc.date.available | 2019-06-28T08:20:25Z | |
| dc.date.issued | 2006 | |
| dc.description.abstract | For 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.version | publishedVersion | eng |
| dc.format | application/pdf | |
| dc.identifier.issn | 0946-8633 | |
| dc.identifier.uri | https://doi.org/10.34657/3129 | |
| dc.identifier.uri | https://oa.tib.eu/renate/handle/123456789/3251 | |
| dc.language.iso | eng | eng |
| dc.publisher | Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik | |
| dc.relation.issn | 0946-8633 | eng |
| dc.rights.license | Dieses 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.license | This 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.subject.ddc | 510 | |
| dc.subject.other | Scattering system | eng |
| dc.subject.other | scattering matrix | eng |
| dc.subject.other | boundary triplet | eng |
| dc.subject.other | (Titchmarsh-) Weyl function | eng |
| dc.subject.other | spectral shift function | eng |
| dc.subject.other | Krein-Birman formula | eng |
| dc.subject.other | Sturm-Liouville operator | eng |
| dc.subject.other | Dirac operator | eng |
| dc.subject.other | Schrödinger operator | eng |
| dc.title | Scattering matrices and Weyl functions | |
| dc.type | Report | eng |
| dc.type | Text | eng |
| tib.accessRights | openAccess | eng |
| wgl.contributor | WIAS | eng |
| wgl.subject | Mathematik | eng |
| wgl.type | Report / Forschungsbericht / Arbeitspapier | eng |
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