A shadow of the repulsive Rutherford scattering and Hamilton vector

D. A. Shatilov, Z. K. Silagadze

Research output: Contribution to journalArticlepeer-review

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).

Original languageEnglish
Article number035001
JournalEuropean Journal of Physics
Volume42
Issue number3
DOIs
Publication statusPublished - May 2021

Keywords

  • classical mechanics
  • Hamilton vector
  • Rutherford scattering

OECD FOS+WOS

  • 1.03 PHYSICAL SCIENCES AND ASTRONOMY

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