Non-Hermitian Quantum Mechanics with Minimal Length Uncertainty
We study non-Hermitian quantum mechanics in the presence of a minimal length. In particular we obtain exact solutions of a non-Hermitian displaced harmonic oscillator and the Swanson model with minimal length uncertainty. The spectrum in both the cases are found to be real. It is also shown that the...
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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Дата: | 2009 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2009
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/149124 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Non-Hermitian Quantum Mechanics with Minimal Length Uncertainty / T.K. Jana, P. Roy // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 27 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862576860407267328 |
|---|---|
| author | Jana, T.K. Roy, P. |
| author_facet | Jana, T.K. Roy, P. |
| citation_txt | Non-Hermitian Quantum Mechanics with Minimal Length Uncertainty / T.K. Jana, P. Roy // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 27 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | We study non-Hermitian quantum mechanics in the presence of a minimal length. In particular we obtain exact solutions of a non-Hermitian displaced harmonic oscillator and the Swanson model with minimal length uncertainty. The spectrum in both the cases are found to be real. It is also shown that the models are η pseudo-Hermitian and the metric operator is found explicitly in both the cases.
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| first_indexed | 2025-11-26T15:28:28Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-149124 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-11-26T15:28:28Z |
| publishDate | 2009 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Jana, T.K. Roy, P. 2019-02-19T17:32:52Z 2019-02-19T17:32:52Z 2009 Non-Hermitian Quantum Mechanics with Minimal Length Uncertainty / T.K. Jana, P. Roy // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 27 назв. — англ. 1815-0659 2000 Mathematics Subject Classification: 81Q05; 81S05 https://nasplib.isofts.kiev.ua/handle/123456789/149124 We study non-Hermitian quantum mechanics in the presence of a minimal length. In particular we obtain exact solutions of a non-Hermitian displaced harmonic oscillator and the Swanson model with minimal length uncertainty. The spectrum in both the cases are found to be real. It is also shown that the models are η pseudo-Hermitian and the metric operator is found explicitly in both the cases. This paper is a contribution to the Proceedings of the 5-th Microconference “Analytic and Algebraic Methods V”. The authors would like to thank the referees for suggesting improvements. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Non-Hermitian Quantum Mechanics with Minimal Length Uncertainty Article published earlier |
| spellingShingle | Non-Hermitian Quantum Mechanics with Minimal Length Uncertainty Jana, T.K. Roy, P. |
| title | Non-Hermitian Quantum Mechanics with Minimal Length Uncertainty |
| title_full | Non-Hermitian Quantum Mechanics with Minimal Length Uncertainty |
| title_fullStr | Non-Hermitian Quantum Mechanics with Minimal Length Uncertainty |
| title_full_unstemmed | Non-Hermitian Quantum Mechanics with Minimal Length Uncertainty |
| title_short | Non-Hermitian Quantum Mechanics with Minimal Length Uncertainty |
| title_sort | non-hermitian quantum mechanics with minimal length uncertainty |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/149124 |
| work_keys_str_mv | AT janatk nonhermitianquantummechanicswithminimallengthuncertainty AT royp nonhermitianquantummechanicswithminimallengthuncertainty |