On the new translational shape invariant potentials
Arturo Ramos
TL;DR
This paper investigates newly discovered translational shape invariant potentials, analyzing their properties, compatibility conditions, and providing additional examples beyond classical classifications.
Contribution
It introduces a detailed analysis of the properties and compatibility equations of new translational shape invariant potentials, expanding the known set of such potentials.
Findings
New examples of translational shape invariant potentials identified
Compatibility equations for these potentials analyzed
Additional potentials provided beyond classical classifications
Abstract
Recently, several authors have found new translational shape invariant potentials not present in classic classifications like that of Infeld and Hull. For example, Quesne on the one hand and Bougie, Gangopadhyaya and Mallow on the other have provided examples of them, consisting on deformations of the classical ones. We analyze the basic properties of the new examples and observe a compatibility equation which has to be satisfied by them. We study particular cases of such equation and give more examples of new translational shape invariant potentials.
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