Rationally extended shape invariant potentials in arbitrary D-dimensions associated with exceptional Xₘ polynomials
Yadav, Rajesh Kumar · Kumari, Nisha · Khare, Avinash · Mandal, Bhabani Prasad
Original · EN
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 Xₘ Laguerre or Xₘ Jacobi exceptional orthogonal polynomials. These potentials are isospectral to their usual counterparts and possess translationally shape invariance property.
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