Spectral Analysis of the Direct Sum Hamiltonian Operators
| dc.contributor.author | Ugurlu, Ekin | |
| dc.contributor.author | Allahverdiev, Bilender P. | |
| dc.date.accessioned | 2018-09-12T08:32:46Z | |
| dc.date.accessioned | 2025-09-18T14:10:27Z | |
| dc.date.available | 2018-09-12T08:32:46Z | |
| dc.date.available | 2025-09-18T14:10:27Z | |
| dc.date.issued | 2016 | |
| dc.description | Allahverdiev, Bilender P./0000-0002-9315-4652 | en_US |
| dc.description.abstract | In 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.identifier.citation | Allahverdiev B.P., Uğurlu, E. (2016). Spectral analysis of the direct sum hamiltonian operators. Quaestiones Mathematicae, 39(6), 733-750. http://dx.doi.org/10.2989/16073606.2015.1134697 | en_US |
| dc.identifier.doi | 10.2989/16073606.2015.1134697 | |
| dc.identifier.issn | 1607-3606 | |
| dc.identifier.issn | 1727-933X | |
| dc.identifier.scopus | 2-s2.0-84978636456 | |
| dc.identifier.uri | https://doi.org/10.2989/16073606.2015.1134697 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/13687 | |
| dc.language.iso | en | en_US |
| dc.publisher | Natl inquiry Services Centre Pty Ltd | en_US |
| dc.relation.ispartof | Quaestiones Mathematicae | |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | 47A20 | en_US |
| dc.subject | 47A40 | en_US |
| dc.subject | 47A75 | en_US |
| dc.subject | 47B44 | en_US |
| dc.subject | 34L40 | en_US |
| dc.subject | 34B40 | en_US |
| dc.subject | 34L25 | en_US |
| dc.subject | 47A45 | en_US |
| dc.subject | Hamiltonian System | en_US |
| dc.subject | Dissipative Operator | en_US |
| dc.subject | Characteristic Function | en_US |
| dc.subject | Scattering Matrix | en_US |
| dc.subject | Completeness Theorem | en_US |
| dc.title | Spectral Analysis of the Direct Sum Hamiltonian Operators | en_US |
| dc.title | Spectral analysis of the direct sum hamiltonian operators | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Allahverdiev, Bilender P./0000-0002-9315-4652 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Allahverdiev, Bilender P.] Suleyman Demirel Univ, Dept Math, TR-32260 Isparta, Turkey; [Ugurlu, Ekin] Cankaya Univ, Dept Math & Comp Sci, TR-06530 Ankara, Turkey | en_US |
| gdc.description.endpage | 750 | en_US |
| gdc.description.issue | 6 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q2 | |
| gdc.description.startpage | 733 | en_US |
| gdc.description.volume | 39 | en_US |
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| gdc.oaire.keywords | Hamiltonian system, dissipative operator, characteristic function, scattering matrix, completeness theorem | |
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