A note on Coulomb scattering amplitude

Details A note on Coulomb scattering amplitude A note on Coulomb scattering amplitude

2003-10-03

arxiv.org/abs/quant-ph/0310019v1

Physics

Quantum Physics

6 pages

Scientific paper

The summation of the partial wave series for Coulomb scattering amplitude, $f^C(\theta)$ is avoided because the series is oscillatorily and divergent. Instead, $f^C(\theta)$ is obtained by solving the Schr{\"o}dinger equation in parabolic cylindrical co-ordinates which is not a general method. Here, we show that a reconstructed series, $(1-\cos\theta) ^2f^C(\theta)$, is both convergent and analytically summable.

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