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Spectral analysis of the direct sum hamiltonian operators

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dc.authoridAllahverdiev, Bilender P./0000-0002-9315-4652
dc.authorscopusid6603246569
dc.authorscopusid36661368600
dc.authorwosidAllahverdiev, Bilender/Itv-3966-2023
dc.contributor.authorAllahverdiev, Bilender P.
dc.contributor.authorUğurlu, Ekin
dc.contributor.authorUgurlu, Ekin
dc.contributor.authorID238990tr_TR
dc.date.accessioned2018-09-12T08:32:46Z
dc.date.available2018-09-12T08:32:46Z
dc.date.issued2016
dc.departmentÇankaya Universityen_US
dc.department-temp[Allahverdiev, Bilender P.] Suleyman Demirel Univ, Dept Math, TR-32260 Isparta, Turkey; [Ugurlu, Ekin] Cankaya Univ, Dept Math & Comp Sci, TR-06530 Ankara, Turkeyen_US
dc.descriptionAllahverdiev, Bilender P./0000-0002-9315-4652en_US
dc.description.abstractIn this paper we investigate the deficiency indices theory and the selfad-joint and nonselfadjoint (dissipative, accumulative) extensions of the minimal symmetric direct sum Hamiltonian operators. In particular using the equivalence of the Lax-Phillips scattering matrix and the Sz.-Nagy-Foias characteristic function, we prove that all root (eigen and associated) vectors of the maximal dissipative extensions of the minimal symmetric direct sum Hamiltonian operators are complete in the Hilbert spaces.en_US
dc.description.publishedMonth10
dc.description.woscitationindexScience Citation Index Expanded
dc.identifier.citationAllahverdiev B.P., Uğurlu, E. (2016). Spectral analysis of the direct sum hamiltonian operators. Quaestiones Mathematicae, 39(6), 733-750. http://dx.doi.org/10.2989/16073606.2015.1134697en_US
dc.identifier.doi10.2989/16073606.2015.1134697
dc.identifier.endpage750en_US
dc.identifier.issn1607-3606
dc.identifier.issn1727-933X
dc.identifier.issue6en_US
dc.identifier.scopus2-s2.0-84978636456
dc.identifier.scopusqualityQ2
dc.identifier.startpage733en_US
dc.identifier.urihttps://doi.org/10.2989/16073606.2015.1134697
dc.identifier.volume39en_US
dc.identifier.wosWOS:000386443500003
dc.identifier.wosqualityQ3
dc.language.isoenen_US
dc.publisherNatl inquiry Services Centre Pty Ltden_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subject47A20en_US
dc.subject47A40en_US
dc.subject47A75en_US
dc.subject47B44en_US
dc.subject34L40en_US
dc.subject34B40en_US
dc.subject34L25en_US
dc.subject47A45en_US
dc.subjectHamiltonian Systemen_US
dc.subjectDissipative Operatoren_US
dc.subjectCharacteristic Functionen_US
dc.subjectScattering Matrixen_US
dc.subjectCompleteness Theoremen_US
dc.titleSpectral analysis of the direct sum hamiltonian operatorstr_TR
dc.titleSpectral Analysis of the Direct Sum Hamiltonian Operatorsen_US
dc.typeArticleen_US
dspace.entity.typePublication
relation.isAuthorOfPublication3ed3f5e7-664c-4705-8ea5-43fa2a1f53d3
relation.isAuthorOfPublication.latestForDiscovery3ed3f5e7-664c-4705-8ea5-43fa2a1f53d3

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