Unified Treatment of a Class of Spherically Symmetric Potentials: Quasi-Exact Solution

الملخص EN

We investigate the Schrödinger equation for a class of spherically symmetric potentials in a simple and unified manner using the Lie algebraic approach within the framework of quasi-exact solvability.

We illustrate that all models give rise to the same basic differential equation, which is expressible as an element of the universal enveloping algebra of s l ( 2 ) .

Then, we obtain the general exact solutions of the problem by employing the representation theory of s l ( 2 ) Lie algebra.