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Comment on 'Non-Hermitian Quantum Mechanics with Minimal Length Uncertainty'
- Source :
- Symmetry, Integrability and Geometry: Methods and Applications, Vol 5, p 089 (2009)
- Publication Year :
- 2009
- Publisher :
- SIGMA (Symmetry, Integrability and Geometry: Methods and Application), 2009.
-
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.
- Subjects :
- High Energy Physics - Theory
Quantum Physics
non-Hermitian Hamiltonians
lcsh:Mathematics
minimal length
deformed canonical commutation relations
FOS: Physical sciences
Quantum algebra
Sigma
lcsh:QA1-939
Hermitian matrix
High Energy Physics - Theory (hep-th)
Quantum mechanics
Metric (mathematics)
Geometry and Topology
Quantum Physics (quant-ph)
QC
Mathematical Physics
Analysis
Mathematics
Mathematical physics
Subjects
Details
- ISSN :
- 18150659
- Database :
- OpenAIRE
- Journal :
- Symmetry, Integrability and Geometry: Methods and Applications
- Accession number :
- edsair.doi.dedup.....4a1b2c3336e4008346848c05304c7025
- Full Text :
- https://doi.org/10.3842/sigma.2009.089