Coulomb-distorted plane wave: partial wave expansion and asymptotic forms
Mathematical Physics
2013-05-03 v1 math.MP
Abstract
Partial wave expansion of the Coulomb-distorted plane wave is determined and studied. Dominant and sub-dominant asymptotic expansion terms are given and leading order three-dimensional asymptotic form is derived. The generalized hypergeometric function is expressed with the help of confluent hypergeometric functions and the asymptotic expansion of is simplified.
Cite
@article{arxiv.1304.6247,
title = {Coulomb-distorted plane wave: partial wave expansion and asymptotic forms},
author = {I. Hornyak and A. T. Kruppa},
journal= {arXiv preprint arXiv:1304.6247},
year = {2013}
}