The truncated Coulomb potential revisited
Quantum Physics
2020-08-06 v1
Abstract
We apply the Frobenius method to the Schr\"{o}dinger equation with a truncated Coulomb potential. By means of the tree-term recurrence relation for the expansion coefficients we truncate the series and obtain exact eigenfunctions and eigenvalues. From a judicious arrangement of the exact eigenvalues we derive useful information about the whole spectrum of the problem and can obtain other eigenvalues by simple and straightforward interpolation.
Cite
@article{arxiv.2008.01773,
title = {The truncated Coulomb potential revisited},
author = {Francisco M. Fernández},
journal= {arXiv preprint arXiv:2008.01773},
year = {2020}
}