Singularity in Potential, Perturbation and Variational Methods

Abstract

In this work, we carefully study the energy eigen-values and splitting of heavy quarkonia as there exist $1/r^3$ and ${\delta }^3(\vec{r})$ singular terms in the potential which make a direct numerical solution of the Schrödinger equation impossible. We compare the results obtained in terms of perturbation and variational methods with various treatments.

Comments: 14 pages, Latex