评论文章 "关于牛顿壳点等价定理的说明" [Am. J. Phys. 90, 394 (2022)]

IF 0.8 4区教育学 Q3 EDUCATION, SCIENTIFIC DISCIPLINES

American Journal of Physics Pub Date : 2023-12-01 DOI:10.1119/5.0153897

Christian Carimalo

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引用次数: 0

摘要

当中心力量遵循幂律时，卡梅隆·里德(Cameron Reed) [Am。[j] . Phys. 90(5)， 394-396(2022)]表明，当且仅当势为牛顿势(F∝r−2)或胡克势(F∝r)时，位于球对称物体外部的测试粒子所受的力与源位于球中心时相同。这篇笔记分享了这个结果的另一个简单的证明，并根据所谓的中心力的嬗变定律对结果进行了评论。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Comment on the article “A note on Newton's shell-point equivalency theorem” [Am. J. Phys. 90, 394 (2022)]

When central forces follow a power law, Cameron Reed [Am. J. Phys. 90(5), 394–396 (2022)] showed that the resulting force on a test particle located outside an object with spherical symmetry is the same as if the source were located at the center of the sphere, if and only if the potential is either Newtonian, F ∝ r−2, or Hookean, F ∝ r. This Note shares another simple proof of this result and comments on the result in the light of the so-called transmutation law of central forces.

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来源期刊

American Journal of Physics 物理-物理：综合

CiteScore

1.80

自引率

11.10%

发文量

146

审稿时长

3 months

期刊介绍： The mission of the American Journal of Physics (AJP) is to publish articles on the educational and cultural aspects of physics that are useful, interesting, and accessible to a diverse audience of physics students, educators, and researchers. Our audience generally reads outside their specialties to broaden their understanding of physics and to expand and enhance their pedagogical toolkits at the undergraduate and graduate levels.