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A new family of shape invariantly deformed Darboux–Pöschl–Teller potentials with continuous ℓ

A new family of shape invariantly deformed Darboux–Pöschl–Teller potentials with continuous ℓ

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 …