Inverse Spectral Problems for Tridiagonal <i>N</i> by <i>N</i> Complex Hamiltonians
| dc.authorscopusid | 25026129500 | |
| dc.contributor.author | Guseinov, Gusein Sh. | |
| dc.contributor.other | Mathematics | |
| dc.date.accessioned | 2024-07-05T14:33:52Z | |
| dc.date.available | 2024-07-05T14:33:52Z | |
| dc.date.issued | 2009 | |
| dc.department | Atılım University | en_US |
| dc.department-temp | Atilim Univ, Dept Math, TR-06836 Ankara, Turkey | en_US |
| dc.description.abstract | In this paper, the concept of generalized spectral function is introduced for finite-order tridiagonal symmetric matrices (Jacobi matrices) with complex entries. The structure of the generalized spectral function is described in terms of spectral data consisting of the eigenvalues and normalizing numbers of the matrix. The inverse problems from generalized spectral function as well as from spectral data are investigated. In this way, a procedure for construction of complex tridiagonal matrices having real eigenvalues is obtained. | en_US |
| dc.identifier.citationcount | 14 | |
| dc.identifier.doi | 10.3842/SIGMA.2009.018 | |
| dc.identifier.issn | 1815-0659 | |
| dc.identifier.scopus | 2-s2.0-78751642049 | |
| dc.identifier.scopusquality | Q3 | |
| dc.identifier.uri | https://doi.org/10.3842/SIGMA.2009.018 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14411/979 | |
| dc.identifier.volume | 5 | en_US |
| dc.identifier.wos | WOS:000267267900018 | |
| dc.identifier.wosquality | Q4 | |
| dc.institutionauthor | Hüseyin, Hüseyin Şirin | |
| dc.language.iso | en | en_US |
| dc.publisher | Natl Acad Sci Ukraine, inst Math | en_US |
| dc.relation.ispartof | 7th Workshop on Quantum Physics with Non-Hermitian Operators -- JUN 29-JUL 11, 2007 -- Benasque, SPAIN | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.scopus.citedbyCount | 17 | |
| dc.subject | Jacobi matrix | en_US |
| dc.subject | difference equation | en_US |
| dc.subject | generalized spectral function | en_US |
| dc.subject | spectral data | en_US |
| dc.title | Inverse Spectral Problems for Tridiagonal <i>N</i> by <i>N</i> Complex Hamiltonians | en_US |
| dc.type | Article | en_US |
| dc.wos.citedbyCount | 14 | |
| dspace.entity.type | Publication | |
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