NonHermitian Quantum Mechanics with Minimal Length Uncertainty
Abstract
We study nonHermitian quantum mechanics in the presence of a minimal length. In particular we obtain exact solutions of a nonHermitian 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 η pseudoHermitian and the metric operator is found explicitly in both the cases.
 Publication:

SIGMA
 Pub Date:
 August 2009
 DOI:
 10.3842/SIGMA.2009.083
 arXiv:
 arXiv:0908.1755
 Bibcode:
 2009SIGMA...5..083J
 Keywords:

 nonHermitian;
 minimal length;
 Quantum Physics
 EPrint:
 SIGMA.5:083,2009