A shadow of the repulsive Rutherford scattering and Hamilton vector
Classical Physics
2021-03-03 v1
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).
Keywords
Cite
@article{arxiv.2101.03543,
title = {A shadow of the repulsive Rutherford scattering and Hamilton vector},
author = {D. A. Shatilov and Z. K. Silagadze},
journal= {arXiv preprint arXiv:2101.03543},
year = {2021}
}
Comments
8 pages, 2 figures, to be published in European Journal of Physics