A short proof of the Gaillard-Matveev theorem based on shape invariance arguments
Mathematical Physics
2012-11-14 v1 math.MP
Quantum Physics
Abstract
We propose a simple alternative proof of the Wronskian representation formula obtained by Gaillard and Matveev for the Darboux-P\"oschl-Teller (DPT) potentials. It rests on the use of singular Darboux-B\"acklund transformations applied to the free particle system combined to the shape invariance properties of the DPT.
Keywords
Cite
@article{arxiv.1211.2392,
title = {A short proof of the Gaillard-Matveev theorem based on shape invariance arguments},
author = {Yves Grandati},
journal= {arXiv preprint arXiv:1211.2392},
year = {2012}
}