Higher order SUSY-QM for P\"oschl-Teller potentials: coherent states and operator properties
Mathematical Physics
2012-12-04 v1 math.MP
Abstract
This work prolongs recent investigations by Bergeron et al [see 2012 J. Phys. A: Math. Theo. 45 244028] on new SUSYQM coherent states for P\"oschl-Teller potentials. It mainly addresses explicit computations of eigenfunctions and spectrum associated to the higher order hierarchic supersymmetric Hamiltonian. Analysis of relevant properties and normal and anti-normal forms is performed and discussed. Coherent states of the hierarchic first order differential operator of the P\"oschl-Teller Hamiltonian and their characteristics are studied.
Keywords
Cite
@article{arxiv.1212.0244,
title = {Higher order SUSY-QM for P\"oschl-Teller potentials: coherent states and operator properties},
author = {Mahouton Norbert Hounkonnou and Sama Arjika and Ezinvi Baloitcha},
journal= {arXiv preprint arXiv:1212.0244},
year = {2012}
}