Rational extensions of the trigonometric Darboux-Pöschl-Teller potential based on para-Jacobi polynomials
Rational extensions of the trigonometric Darboux-Pöschl-Teller potential based on para-Jacobi polynomials
The possibility for the Jacobi equation to admit, in some cases, general solutions that are polynomials has been recently highlighted by Calogero and Yi, who termed them para-Jacobi polynomials. Such polynomials are used here to build seed functions of a Darboux-Bäcklund transformation for the trigonometric Darboux-Pöschl-Teller potential. As a result, …