Rationally extended shape invariant potentials in arbitrary d dimensions associated with exceptional xm polynomials

Rajesh Kumar Yadav, Nisha Kumari, Avinash Khare, Bhabani Prasad Mandal

Rationally extended shape invariant potentials in arbitrary d dimensions associated with exceptional xm polynomials

Číslo: 6/2017
Periodikum: Acta Polytechnica
DOI: 10.14311/AP.2017.57.0477

Klíčová slova: exceptional orthogonal polynomial; point canonical transformation; rationally extended potential; shape invariance property, výjimečný ortogonální polynom; bodová kanonická transformace; racionálně rozšířený potenciál; vlastnost invariance tvaru

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Anotace: 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.