Rationally extended shape invariant potentials in arbitrary D-dimensions associated with exceptional $X_m$ polynomials
Quantum Physics
2014-12-18 v1 High Energy Physics - Theory
Mathematical Physics
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.
Cite
@article{arxiv.1412.5445,
title = {Rationally extended shape invariant potentials in arbitrary D-dimensions associated with exceptional $X_m$ polynomials},
author = {Rajesh Kumar Yadav and Nisha Kumari and Avinash Khare and Bhabani Prasad Mandal},
journal= {arXiv preprint arXiv:1412.5445},
year = {2014}
}
Comments
18 pages, Latex, No figs