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

Bagchi, B. and Fring, A. (2009). Comment on "Non-Hermitian Quantum Mechanics with Minimal Length Uncertainty". Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), 5(089), doi: 10.3842/SIGMA.2009.089

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.

Publication Type: Article
Publisher Keywords: non-Hermitian Hamiltonians, deformed canonical commutation relations, minimal length
Subjects: Q Science > QC Physics
Departments: School of Mathematics, Computer Science & Engineering > Mathematics
URI: http://openaccess.city.ac.uk/id/eprint/748
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