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.

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Опубліковано в: :Symmetry, Integrability and Geometry: Methods and Applications
Дата:2009
Автор: Ergun, E.
Формат: Стаття
Мова:English
Опубліковано: Інститут математики НАН України 2009
Онлайн доступ:https://nasplib.isofts.kiev.ua/handle/123456789/149256
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Цитувати: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.

Репозитарії

Digital Library of Periodicals of National Academy of Sciences of Ukraine
id nasplib_isofts_kiev_ua-123456789-149256
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
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
title On the Spectrum of a Discrete Non-Hermitian Quantum System
spellingShingle On the Spectrum of a Discrete Non-Hermitian Quantum System
Ergun, E.
title_short 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_sort on the spectrum of a discrete non-hermitian quantum system
author Ergun, E.
author_facet Ergun, E.
publishDate 2009
language English
container_title Symmetry, Integrability and Geometry: Methods and Applications
publisher Інститут математики НАН України
format Article
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.
issn 1815-0659
url https://nasplib.isofts.kiev.ua/handle/123456789/149256
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.
work_keys_str_mv AT ergune onthespectrumofadiscretenonhermitianquantumsystem
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last_indexed 2025-12-07T19:19:37Z
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