Inverse Spectral Problems for Tridiagonal <i>N</i> by <i>N</i> Complex Hamiltonians
| dc.contributor.author | Guseinov, Gusein Sh. | |
| dc.date.accessioned | 2024-07-05T14:33:52Z | |
| dc.date.available | 2024-07-05T14:33:52Z | |
| dc.date.issued | 2009 | |
| 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.doi | 10.3842/SIGMA.2009.018 | |
| dc.identifier.issn | 1815-0659 | |
| dc.identifier.scopus | 2-s2.0-78751642049 | |
| dc.identifier.uri | https://doi.org/10.3842/SIGMA.2009.018 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14411/979 | |
| 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.rights | info:eu-repo/semantics/openAccess | en_US |
| 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 |
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| gdc.description.department | Atılım University | en_US |
| gdc.description.departmenttemp | Atilim Univ, Dept Math, TR-06836 Ankara, Turkey | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q3 | |
| gdc.description.volume | 5 | en_US |
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| gdc.oaire.keywords | Quantum Physics | |
| gdc.oaire.keywords | FOS: Physical sciences | |
| gdc.oaire.keywords | difference equation | |
| gdc.oaire.keywords | spectral data | |
| gdc.oaire.keywords | generalized spectral function | |
| gdc.oaire.keywords | Mathematics - Spectral Theory | |
| gdc.oaire.keywords | Jacobi matrix | |
| gdc.oaire.keywords | Mathematics - Classical Analysis and ODEs | |
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| gdc.oaire.keywords | Classical Analysis and ODEs (math.CA) | |
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| gdc.oaire.keywords | Quantum Physics (quant-ph) | |
| gdc.oaire.keywords | Spectral Theory (math.SP) | |
| gdc.oaire.keywords | Mathematics | |
| gdc.oaire.keywords | Eigenvalues, singular values, and eigenvectors | |
| gdc.oaire.keywords | complex tridiagonal matrices | |
| gdc.oaire.keywords | tridiagonal symmetric matrices | |
| gdc.oaire.keywords | inverse problems | |
| gdc.oaire.keywords | Hamiltonian matrix | |
| gdc.oaire.keywords | Inverse problems in linear algebra | |
| gdc.oaire.keywords | real eigenvalues | |
| gdc.oaire.keywords | Hermitian, skew-Hermitian, and related matrices | |
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| gdc.virtual.author | Hüseyin, Hüseyin Şirin | |
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