A short proof of the Gaillard-Matveev theorem based on shape invariance arguments
arXiv:1211.2392
Abstract
We propose a simple alternative proof of the Wronskian representation formula obtained by Gaillard and Matveev for the Darboux-Pöschl-Teller (DPT) potentials. It rests on the use of singular Darboux-Bäcklund transformations applied to the free particle system combined to the shape invariance properties of the DPT.