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Bagchi, Bijan; Fring, Andreas (2009)
Publisher: National Academy of Science of Ukraine
Journal: Symmetry
Languages: English
Types: Article
Subjects: non-Hermitian Hamiltonians, QC, minimal length, Mathematics, deformed canonical commutation relations, High Energy Physics - Theory, QA1-939, Quantum Physics
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.
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    • [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.
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