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Article Dans Une Revue Physics Letters A Année : 2014

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

Résumé

We propose a simple alternative proof of the Wronskian representation formula obtained by Gaillard and Matveev for the trigonometric Darboux-Poschl-Teller (TDPT) potentials. It rests on the use of singular Darboux-Backlund transformations applied to the free particle system combined to the shape invariance properties of the TDPT.

Dates et versions

hal-01513420 , version 1 (25-04-2017)

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Y. Grandati. A short proof of the Gaillard-Matveev theorem based on shape invariance arguments. Physics Letters A, 2014, 378 (26-27), pp.1755-1759. ⟨10.1016/j.physleta.2014.03.020⟩. ⟨hal-01513420⟩
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