Prepotential approach to solvable rational extensions of Harmonic Oscillator and Morse potentials
Mathematical Physics
2015-05-28 v3 math.MP
Spectral Theory
Exactly Solvable and Integrable Systems
Quantum Physics
Abstract
We show how the recently discovered solvable rational extensions of Harmonic Oscillator and Morse potentials can be constructed in a direct and systematic way, without the need of supersymmetry, shape invariance, Darboux-Crum and Darboux-B\"acklund transformations
Keywords
Cite
@article{arxiv.1105.3670,
title = {Prepotential approach to solvable rational extensions of Harmonic Oscillator and Morse potentials},
author = {C. -L. Ho},
journal= {arXiv preprint arXiv:1105.3670},
year = {2015}
}
Comments
7 pages, no figures. Sect II considerably shortened, discussions on ground states added. Version to appear in J. Math. Phys