Pseudo-hermitian and PT-symmetric quantum systems with energy-dependent potentialsBound-state solutions and energy spectra

Authors

Axel Schulze-Halberg, Indiana University Northwest
Pinaki Roy, Indian Statistical Institute, Kolkata

Article Type

Research Article

Publication Title

Annals of Physics

Abstract

We introduce generalized versions of complex Scarf and Morse-type potentials that contain 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.

First Page

78

Last Page

92

DOI

10.1016/j.aop.2017.02.014

Publication Date

5-1-2017

Comments

Open Access, Green

Recommended Citation

Schulze-Halberg, Axel and Roy, Pinaki, "Pseudo-hermitian and PT-symmetric quantum systems with energy-dependent potentialsBound-state solutions and energy spectra" (2017). Journal Articles. 2591.
https://digitalcommons.isical.ac.in/journal-articles/2591