Inverse Spectral Problems for Tridiagonal N by N Complex Hamiltonians
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 nu...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2009 |
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| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2009
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/149241 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Inverse Spectral Problems for Tridiagonal N by N Complex Hamiltonians / G.Sh. Guseinov// Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 23 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862747193744556032 |
|---|---|
| author | Guseinov, G.Sh. |
| author_facet | Guseinov, G.Sh. |
| citation_txt | Inverse Spectral Problems for Tridiagonal N by N Complex Hamiltonians / G.Sh. Guseinov// Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 23 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | 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.
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| first_indexed | 2025-12-07T20:49:34Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-149241 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T20:49:34Z |
| publishDate | 2009 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Guseinov, G.Sh. 2019-02-19T19:14:32Z 2019-02-19T19:14:32Z 2009 Inverse Spectral Problems for Tridiagonal N by N Complex Hamiltonians / G.Sh. Guseinov// Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 23 назв. — англ. 1815-0659 2000 Mathematics Subject Classification: 15A29; 39A10 https://nasplib.isofts.kiev.ua/handle/123456789/149241 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. This paper is a contribution to the Proceedings of the VIIth Workshop “Quantum Physics with NonHermitian Operators” (June 29 – July 11, 2008, Benasque, Spain). This work was supported by Grant 106T549 from the Scientific and Technological Research Council of Turkey (TUBITAK). en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Inverse Spectral Problems for Tridiagonal N by N Complex Hamiltonians Article published earlier |
| spellingShingle | Inverse Spectral Problems for Tridiagonal N by N Complex Hamiltonians Guseinov, G.Sh. |
| title | Inverse Spectral Problems for Tridiagonal N by N Complex Hamiltonians |
| title_full | Inverse Spectral Problems for Tridiagonal N by N Complex Hamiltonians |
| title_fullStr | Inverse Spectral Problems for Tridiagonal N by N Complex Hamiltonians |
| title_full_unstemmed | Inverse Spectral Problems for Tridiagonal N by N Complex Hamiltonians |
| title_short | Inverse Spectral Problems for Tridiagonal N by N Complex Hamiltonians |
| title_sort | inverse spectral problems for tridiagonal n by n complex hamiltonians |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/149241 |
| work_keys_str_mv | AT guseinovgsh inversespectralproblemsfortridiagonalnbyncomplexhamiltonians |