Coulomb-distorted plane wave: partial wave expansion and asymptotic forms

Hornyák, István and Kruppa, András Tibor (2013) Coulomb-distorted plane wave: partial wave expansion and asymptotic forms. JOURNAL OF MATHEMATICAL PHYSICS, 54. ISSN 0022-2488

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Abstract

Partial wave expansion of the Coulomb-distorted plane wave is determined and stud- ied. Dominant and sub-dominant asymptotic expansion terms are given and leading order three-dimensional asymptotic form is derived. The generalized hypergeometric function 2F2(a, a; a + l + 1, a − l; z) is expressed with the help of confluent hyper- geometric functions and the asymptotic expansion of 2F2(a, a; a + l + 1, a − l; z) is simplified.

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