Comment on ''Non-Hermitian Quantum Mechanics with Minimal Length Uncertainty''

We demonstrate that the recent paper by Jana and Roy entitled ''Non-Hermitian quantum mechanics with minimal length uncertainty'' [SIGMA 5 (2009), 083, 7 pages, arXiv:0908.1755] contains various misconceptions. We compare with an analysis on the same topic carried out previously...

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Veröffentlicht in:Symmetry, Integrability and Geometry: Methods and Applications
Datum:2009
Hauptverfasser: Bagchi, B., Fring, A.
Format: Artikel
Sprache:Englisch
Veröffentlicht: Інститут математики НАН України 2009
Online Zugang:https://nasplib.isofts.kiev.ua/handle/123456789/149130
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Zitieren:Comment on ''Non-Hermitian Quantum Mechanics with Minimal Length Uncertainty'' / B. Bagchi, A. Fring // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 2 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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author Bagchi, B.
Fring, A.
author_facet Bagchi, B.
Fring, A.
citation_txt Comment on ''Non-Hermitian Quantum Mechanics with Minimal Length Uncertainty'' / B. Bagchi, A. Fring // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 2 назв. — англ.
collection DSpace DC
container_title Symmetry, Integrability and Geometry: Methods and Applications
description We demonstrate that the recent paper by Jana and Roy entitled ''Non-Hermitian quantum mechanics with minimal length uncertainty'' [SIGMA 5 (2009), 083, 7 pages, arXiv:0908.1755] contains various misconceptions. We compare with an analysis on the same topic carried out previously in our manuscript [arXiv:0907.5354]. In particular, we show that the metric operators computed for the deformed non-Hermitian Swanson models differs in both cases and is inconsistent in the former.
first_indexed 2025-12-01T02:22:33Z
format Article
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institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
issn 1815-0659
language English
last_indexed 2025-12-01T02:22:33Z
publishDate 2009
publisher Інститут математики НАН України
record_format dspace
spelling Bagchi, B.
Fring, A.
2019-02-19T17:34:55Z
2019-02-19T17:34:55Z
2009
Comment on ''Non-Hermitian Quantum Mechanics with Minimal Length Uncertainty'' / B. Bagchi, A. Fring // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 2 назв. — англ.
1815-0659
2000 Mathematics Subject Classification: 81Q10; 46C15; 81Q12
https://nasplib.isofts.kiev.ua/handle/123456789/149130
We demonstrate that the recent paper by Jana and Roy entitled ''Non-Hermitian quantum mechanics with minimal length uncertainty'' [SIGMA 5 (2009), 083, 7 pages, arXiv:0908.1755] contains various misconceptions. We compare with an analysis on the same topic carried out previously in our manuscript [arXiv:0907.5354]. In particular, we show that the metric operators computed for the deformed non-Hermitian Swanson models differs in both cases and is inconsistent in the former.
This paper is a contribution to the Proceedings of the 5-th Microconference “Analytic and Algebraic Methods V”.
en
Інститут математики НАН України
Symmetry, Integrability and Geometry: Methods and Applications
Comment on ''Non-Hermitian Quantum Mechanics with Minimal Length Uncertainty''
Article
published earlier
spellingShingle Comment on ''Non-Hermitian Quantum Mechanics with Minimal Length Uncertainty''
Bagchi, B.
Fring, A.
title Comment on ''Non-Hermitian Quantum Mechanics with Minimal Length Uncertainty''
title_full Comment on ''Non-Hermitian Quantum Mechanics with Minimal Length Uncertainty''
title_fullStr Comment on ''Non-Hermitian Quantum Mechanics with Minimal Length Uncertainty''
title_full_unstemmed Comment on ''Non-Hermitian Quantum Mechanics with Minimal Length Uncertainty''
title_short Comment on ''Non-Hermitian Quantum Mechanics with Minimal Length Uncertainty''
title_sort comment on ''non-hermitian quantum mechanics with minimal length uncertainty''
url https://nasplib.isofts.kiev.ua/handle/123456789/149130
work_keys_str_mv AT bagchib commentonnonhermitianquantummechanicswithminimallengthuncertainty
AT fringa commentonnonhermitianquantummechanicswithminimallengthuncertainty