SIGMA 5 (2009), 089, 2 pages      arXiv:0908.2341      https://doi.org/10.3842/SIGMA.2009.089
Contribution to the Proceedings of the 5-th Microconference Analytic and Algebraic Methods V

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

Bijan Bagchi ^a and 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

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

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.

Key words: non-Hermitian Hamiltonians; deformed canonical commutation relations; minimal length.

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References

1. Bagchi B., Fring A., Minimal length in quantum mechanics and non-Hermitian Hamiltonian systems, arXiv:0907.5354.
2. Jana T.K., Roy P., Non-Hermitian quantum mechanics with minimal length uncertainty, SIGMA 5 (2009), 083, 7 pages, arXiv:0908.1755.