# Non-Hermitian Quantum Mechanics with Minimal Length Uncertainty ?

@article{Jana2009NonHermitianQM,
title={Non-Hermitian Quantum Mechanics with Minimal Length Uncertainty ?},
author={T. K. Jana and Pinaki Roy},
journal={Symmetry Integrability and Geometry-methods and Applications},
year={2009},
volume={5},
pages={083}
}
• Published 12 August 2009
• Physics
• Symmetry Integrability and Geometry-methods and Applications
We study non-Hermitian quantum mechanics in the presence of a minimal length. In particular we obtain exact solutions of a non-Hermitian displaced harmonic oscillator and the Swanson model with minimal length uncertainty. The spectrum in both the cases are found to be real. It is also shown that the models are pseudo-Hermitian and the metric operator is found explicitly in both the cases.

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

• Physics
• 2009
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

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### Reply to Comment on "Non Hermitian Quantum Mechanics with Minimal Length Uncertainty", arXiv:0908.2341

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It is shown that the results of ref [1] are consistent. In ref [1] Swanson model with the following Hamiltonian was considered H = ωaa + λa + δa 2 + ω 2 (1) where λ 6= δ are real numbers and a, a are

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