Shape invariance in prepotential approach to exactly solvable models
Mathematical Physics
2015-05-13 v3 High Energy Physics - Theory
math.MP
Spectral Theory
Exactly Solvable and Integrable Systems
Quantum Physics
Abstract
In supersymmetric quantum mechanics, exact-solvability of one-dimensional quantum systems can be classified only with an additional assumption of integrability, the so-called shape invariance condition. In this paper we show that in the prepotential approach we proposed previously, shape invariance is automatically satisfied and needs not be assumed.
Cite
@article{arxiv.0811.1511,
title = {Shape invariance in prepotential approach to exactly solvable models},
author = {Choon-Lin Ho},
journal= {arXiv preprint arXiv:0811.1511},
year = {2015}
}
Comments
14 pages, no figures