Pseudo-Hermitian and PT -symmetric quantum systems with energy-dependent potentials: Bound-state solutions and energy spectra
Mathematical Physics
2017-04-26 v1 math.MP
Quantum Physics
Abstract
We introduce generalized versions of complex Scarf and Morse-type potentials that con- tain energy-dependent parameters. PT -symmetry and pseudo-hermiticity of the associated quantum systems are discussed, and a modified orthogonality relation and pseudo-norm are constructed. We show that despite energy-dependence, our systems can admit real energy spectra and normalizable solutions of bound-state type.
Keywords
Cite
@article{arxiv.1702.05558,
title = {Pseudo-Hermitian and PT -symmetric quantum systems with energy-dependent potentials: Bound-state solutions and energy spectra},
author = {Axel Schulze-Halberg and Pinaki Roy},
journal= {arXiv preprint arXiv:1702.05558},
year = {2017}
}
Comments
18 pages