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arXiv · 1007.3800

A new family of shape invariantly deformed Darboux-P\"oschl-Teller potentials with continuous \ell

Satoru Odake·Ryu Sasaki
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Abstract

We present a new family of shape invariant potentials which could be called a ``continuous \ell version" of the potentials corresponding to the exceptional (X_{\ell}) J1 Jacobi polynomials constructed recently by the present authors. In a certain limit, it reduces to a continuous \ell family of shape invariant potentials related to the exceptional (X_{\ell}) L1 Laguerre polynomials. The latter was known as one example of the `conditionally exactly solvable potentials' on a half line.

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Satoru Odake, Ryu Sasaki. 2010-07-22. A new family of shape invariantly deformed Darboux-P\"oschl-Teller potentials with continuous \ell. https://doi.org/10.1088/1751-8113/44/19/195203

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