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

TL;DR

This paper critiques a recent study on non-Hermitian quantum mechanics with minimal length, highlighting misconceptions and discrepancies in the computation of metric operators compared to prior analysis.

Contribution

It clarifies misconceptions in the recent paper and provides a consistent analysis of metric operators in non-Hermitian quantum models.

Findings

The metric operators in the recent paper differ from previous results.

The metric operators in the recent paper are inconsistent.

The paper corrects the analysis of non-Hermitian models with minimal length.

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.