Integrals containing confluent hypergeometric functions with applications to perturbed singular potentials
Mathematical Physics
2009-11-10 v1 math.MP
Abstract
We show that many integrals containing products of confluent hypergeometric functions follow directly from one single integral that has a very simple formula in terms of Appell's double series F_2. We present some techniques for computing such series. Applications requiring the matrix elements of singular potentials and the perturbed Kratzer potential are presented.
Keywords
Cite
@article{arxiv.math-ph/0306043,
title = {Integrals containing confluent hypergeometric functions with applications to perturbed singular potentials},
author = {Nasser Saad and Richard L. Hall},
journal= {arXiv preprint arXiv:math-ph/0306043},
year = {2009}
}
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20 pages