Comment on Non-Hermitian quantum mechanics with minimal length uncertainty

DOI10.3842/SIGMA.2009.089zbMath1188.81077arXiv0908.2341OpenAlexW1980923760MaRDI QIDQ970275

Publication date: 17 May 2010

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

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.

Full work available at URL: https://arxiv.org/abs/0908.2341

File on IPFS (Hint: this is only the Hash - if you get a timeout, this file is not available on our server.)

zbMATH Keywords

minimal length non-Hermitian Hamiltonians deformed canonical commutation relations

Mathematics Subject Classification ID

Characterizations of Hilbert spaces (46C15) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Nonselfadjoint operator theory in quantum theory including creation and destruction operators (81Q12)

This page was built for publication: Comment on Non-Hermitian quantum mechanics with minimal length uncertainty