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arXiv · 1412.5445

Rationally extended shape invariant potentials in arbitrary D-dimensions associated with exceptional $X_m$ polynomials

Rajesh Kumar Yadav·Nisha Kumari·Avinash Khare·Bhabani Prasad Mandal
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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.

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Rajesh Kumar Yadav, Nisha Kumari, Avinash Khare, Bhabani Prasad Mandal. 2014-12-16. Rationally extended shape invariant potentials in arbitrary D-dimensions associated with exceptional $X_m$ polynomials. https://arxiv.org/abs/1412.5445

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