
SIGMA 5 (2009), 089, 2 pages arXiv:0908.2341
http://dx.doi.org/10.3842/SIGMA.2009.089
Contribution to the Proceedings of the 5th Microconference Analytic and Algebraic Methods V
Comment on ''NonHermitian 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
''NonHermitian 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 nonHermitian Swanson models differs in both cases and is inconsistent in the former.
Key words:
nonHermitian Hamiltonians; deformed canonical commutation relations; minimal length.
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References
 Bagchi B., Fring A.,
Minimal length in quantum mechanics and nonHermitian Hamiltonian systems,
arXiv:0907.5354.
 Jana T.K., Roy P.,
NonHermitian quantum mechanics with minimal length uncertainty,
SIGMA 5 (2009), 083, 7 pages,
arXiv:0908.1755.

