Tuesday, November 13, 2012

1211.2392 (Yves Grandati)

A short proof of the Gaillard-Matveev theorem based on shape invariance

Yves Grandati
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.
View original: http://arxiv.org/abs/1211.2392

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