dorsal/arxiv
View SchemaA note on Coulomb scattering amplitude
| Authors | Zafar Ahmed |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0310019 |
| URL | https://arxiv.org/abs/quant-ph/0310019 |
Abstract
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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"date_created": "2026-03-02T18:02:03.178000Z",
"date_modified": "2026-03-02T18:02:03.178000Z",
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"abstract": "The summation of the partial wave series for Coulomb scattering amplitude,\n$f^C(\\theta)$ is avoided because the series is oscillatorily and divergent.\nInstead, $f^C(\\theta)$ is obtained by solving the Schr{\\\"o}dinger equation in\nparabolic cylindrical co-ordinates which is not a general method. Here, we show\nthat a reconstructed series, $(1-\\cos\\theta) ^2f^C(\\theta)$, is both convergent\nand analytically summable.",
"arxiv_id": "quant-ph/0310019",
"authors": [
"Zafar Ahmed"
],
"categories": [
"quant-ph"
],
"title": "A note on Coulomb scattering amplitude",
"url": "https://arxiv.org/abs/quant-ph/0310019"
},
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