Non-Hermitian Quantum Mechanics with Minimal Length Uncertainty

Details Non-Hermitian Quantum Mechanics with Minimal Length Uncertainty Non-Hermitian Quantum Mechanics with Minimal Length Uncertainty

2009-08-12

arxiv.org/abs/0908.1755v1

SIGMA.5:083,2009

Physics

Quantum Physics

Scientific paper

10.3842/SIGMA.2009.083

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 $\eta$ pseudo-Hermitian and the metric operator is found explicitly in both the cases.

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