Uniform WKB approximation of Coulomb wave functions for arbitrary partial wave
Mathematical Physics
2009-11-13 v1 math.MP
Abstract
Coulomb wave functions are difficult to compute numerically for extremely low energies, even with direct numerical integration. Hence, it is more convenient to use asymptotic formulas in this region. It is the object of this paper to derive analytical asymptotic formulas valid for arbitrary energies and partial waves. Moreover, it is possible to extend these formulas for complex values of parameters.
Cite
@article{arxiv.0812.2437,
title = {Uniform WKB approximation of Coulomb wave functions for arbitrary partial wave},
author = {N. Michel},
journal= {arXiv preprint arXiv:0812.2437},
year = {2009}
}
Comments
5 pages, 2 figures