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

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