A new family of shape invariantly deformed Darboux-Pöschl-Teller potentials with continuous \ell
arXiv:1007.3800 · doi:10.1088/1751-8113/44/19/195203
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.
19 pages. Sec.5(Summary and Comments): one sentence added in the first paragraph, several sentences modified in the last paragraph. References: one reference ([25]) added
References in corpus (5)
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