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arXiv · 1607.04505

Unified treatment of a class of spherically symmetric potentials: quasi-exact solution

Hossein Panahi·Marzieh Baradaran
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Abstract

In this paper, 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 sl(2). Then, we obtain the general exact solutions of the problem by employing the representation theory of sl(2) Lie algebra.

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Hossein Panahi, Marzieh Baradaran. 2016-07-13. Unified treatment of a class of spherically symmetric potentials: quasi-exact solution. https://arxiv.org/abs/1607.04505

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