Comment on "Non-Hermitian Quantum Mechanics with Minimal Length Uncertainty"
Bagchi, B. & Fring, A. (2009). Comment on "Non-Hermitian Quantum Mechanics with Minimal Length Uncertainty". Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), 5(089), article number 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 Science & Technology > Mathematics |
| SWORD Depositor: |
![[thumbnail of 0908.2341v2]](https://openaccess.city.ac.uk/style/images/fileicons/application_pdf.png)
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