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arXiv · 1205.0712

Symmetries and the compatibility condition for the new translational shape invariant potentials

Arturo Ramos
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Abstract

In this letter we study a class of symmetries of the new translational extended shape invariant potentials. It is proved that a generalization of a compatibility condition introduced in a previous article is equivalent to the usual shape invariance condition. We focus on the recent examples of Odake and Sasaki (infinitely many polynomial, continuous $l$ and multi-index rational extensions). As a byproduct, we obtain new relations, to the best of our knowledge, for Laguerre, Jacobi polynomials and (confluent) hypergeometric functions.

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Arturo Ramos. 2012-05-03. Symmetries and the compatibility condition for the new translational shape invariant potentials. https://doi.org/10.1016/j.physleta.2012.10.033

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