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arXiv · 2101.03543

A shadow of the repulsive Rutherford scattering and Hamilton vector

D. A. Shatilov·Z. K. Silagadze
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Abstract

The fact that repulsive Rutherford scattering casts a paraboloidal shadow is rarely exploited in introductory mechanics textbooks. Another rarely used construction in such textbooks is the Hamilton vector, a cousin of the more famous Laplace-Runge-Lenz vector. We will show how the latter (Hamilton's vector) can be used to explain and clarify the former (paraboloidal shadow).

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D. A. Shatilov, Z. K. Silagadze. 2021-01-10. A shadow of the repulsive Rutherford scattering and Hamilton vector. https://doi.org/10.1088/1361-6404/abd98b

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