| Issue |
EPL
Volume 83, Number 1, July 2008
|
|
|---|---|---|
| Article Number | 10002 | |
| Number of page(s) | 3 | |
| Section | General | |
| DOI | https://doi.org/10.1209/0295-5075/83/10002 | |
| Published online | 11 June 2008 | |
Uniform WKB approximation of Coulomb wave functions for arbitrary partial wave
Department of Physics, Graduate School of Science, Kyoto University - Kyoto 606-8502, Japan
Received:
26
February
2008
Accepted:
14
May
2008
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 the parameters.
PACS: 02.30.Fn – Several complex variables and analytic spaces / 02.30.Gp – Special functions
© EPLA, 2008
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