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Symmetry, Integrability and Geometry: Methods and Applications, 2009, Volume 5, 089, 2 pp.
DOI: https://doi.org/10.3842/SIGMA.2009.089 (Mi sigma435) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Comment on “Non-Hermitian Quantum Mechanics with Minimal Length Uncertainty”

Bijan Bagchia, Andreas Fringb

a Department of Applied Mathematics, University of Calcutta, 92 Acharya Prafulla Chandra Road, Kolkata 700 009, India
b Centre for Mathematical Science, City University London, Northampton Square, London EC1V 0HB, UK
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DOI: https://doi.org/10.3842/SIGMA.2009.089
Abstract: 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.
Keywords: non-Hermitian Hamiltonians; deformed canonical commutation relations; minimal length.
Received: August 18, 2009; Published online September 17, 2009
Bibliographic databases:
Document Type: Article
MSC: 81Q10; 46C15; 81Q12
Language: English
Citation: Bijan Bagchi, Andreas Fring, “Comment on “Non-Hermitian Quantum Mechanics with Minimal Length Uncertainty””, SIGMA, 5 (2009), 089, 2 pp.
Citation in format AMSBIB
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