Bijan Bagchi, Andreas Fring, “Comment on “Non-Hermitian Quantum Mechanics with Minimal Length Uncertainty””, SIGMA, 2009, Volume 5,089, 2 pp.

This article is cited in 1 paper

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

Bijan Bagchi^a, Andreas Fring^b

^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

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.

MSC: 81Q10; 46C15; 81Q12

Received: August 18, 2009; Published online September 17, 2009

Language: English

DOI: 10.3842/SIGMA.2009.089