Approximate Solutions of the Dunkl–Schrödinger Equation for the Hyperbolic Pöschl–Teller Potential
摘要
We construct an approximate solution to the Schrödinger equation for the hyperbolic Pöschl–Teller potential within the Dunkl formalism. Our approximation is based on a series expansion of the inverse quadratic term generated by the Dunkl operator. Two methods of establishing correct parity in the approximate solutions are discussed, and an example is presented.