On the Spectrum of a Discrete Non-Hermitian Quantum System
In this paper, we develop spectral analysis of a discrete non-Hermitian quantum system that is a discrete counterpart of some continuous quantum systems on a complex contour. In particular, simple conditions for discreteness of the spectrum are established.
Gespeichert in:
| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Datum: | 2009 |
| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
Інститут математики НАН України
2009
|
| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/149256 |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | On the Spectrum of a Discrete Non-Hermitian Quantum System / E. Ergun // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 17 назв. — англ. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862730287444656128 |
|---|---|
| author | Ergun, E. |
| author_facet | Ergun, E. |
| citation_txt | On the Spectrum of a Discrete Non-Hermitian Quantum System / E. Ergun // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 17 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | In this paper, we develop spectral analysis of a discrete non-Hermitian quantum system that is a discrete counterpart of some continuous quantum systems on a complex contour. In particular, simple conditions for discreteness of the spectrum are established.
|
| first_indexed | 2025-12-07T19:19:37Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-149256 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T19:19:37Z |
| publishDate | 2009 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Ergun, E. 2019-02-19T19:26:41Z 2019-02-19T19:26:41Z 2009 On the Spectrum of a Discrete Non-Hermitian Quantum System / E. Ergun // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 17 назв. — англ. 1815-0659 2000 Mathematics Subject Classification: 39A70; 81Q10 https://nasplib.isofts.kiev.ua/handle/123456789/149256 In this paper, we develop spectral analysis of a discrete non-Hermitian quantum system that is a discrete counterpart of some continuous quantum systems on a complex contour. In particular, simple conditions for discreteness of the spectrum are established. 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). The author thanks Mesude Saglam and Gusein Guseinov for useful discussions. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications On the Spectrum of a Discrete Non-Hermitian Quantum System Article published earlier |
| spellingShingle | On the Spectrum of a Discrete Non-Hermitian Quantum System Ergun, E. |
| title | On the Spectrum of a Discrete Non-Hermitian Quantum System |
| title_full | On the Spectrum of a Discrete Non-Hermitian Quantum System |
| title_fullStr | On the Spectrum of a Discrete Non-Hermitian Quantum System |
| title_full_unstemmed | On the Spectrum of a Discrete Non-Hermitian Quantum System |
| title_short | On the Spectrum of a Discrete Non-Hermitian Quantum System |
| title_sort | on the spectrum of a discrete non-hermitian quantum system |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/149256 |
| work_keys_str_mv | AT ergune onthespectrumofadiscretenonhermitianquantumsystem |