Wednesday, April 24, 2013

1304.6247 (I. Hornyak et al.)

Coulomb-distorted plane wave: partial wave expansion and asymptotic

I. Hornyak, A. T. Kruppa
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 $_2F_2(a,a;a+l+1,a-l;z)$ is expressed with the help of confluent hypergeometric functions and the asymptotic expansion of $_2F_2(a,a;a+l+1,a-l;z)$ is simplified.
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