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Rationally extended shape invariant potentials in arbitrary D-dimensions associated with exceptional $X_m$ polynomials (1412.5445v1)
Published 16 Dec 2014 in quant-ph, hep-th, math-ph, and math.MP
Abstract: Rationally extended shape invariant potentials in arbitrary D-dimensions are obtained by using point canonical transformation (PCT) method. The bound-state solutions of these exactly solvable potentials can be written in terms of X_m Laguerre or X_m Jacobi exceptional orthogonal polynomials. These potentials are isospectral to their usual counterparts and possess translationally shape invariance property.