电磁学最小作用原理述评第一部分:连续性方程和洛伦兹力的推导

2022 International Conference on Software, Telecommunications and Computer Networks (SoftCOM) Pub Date : 2022-09-22 DOI:10.23919/softcom55329.2022.9911297

Dragan Poliak

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引用次数: 2

摘要

本文讨论了电荷和洛伦兹力的连续性方程的推导。从经典力学中的哈密顿原理出发及其应用。，规范不变性1得到运动带电粒子的拉格朗日量。由相应的拉格朗日量得到连续性方程和洛伦兹力方程。在附录中给出了函数最小化的数学细节。

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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Review of Least Action Principle in Electromagnetics Part I: Derivation of Continuity Equation and Lorentz Force

The paper deals with a derivation of equation of continuity for electric charge and Lorentz force. Starting from Hamilton's principle in classical mechanics and applying., gauge invariance one obtains Lagrangian for a moving charged particle. Equation of continuity and Lorentz force are obtained from the corresponding Lagrangian. The mathematical details of the functional minimization are given in Appendices.

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2022 International Conference on Software, Telecommunications and Computer Networks (SoftCOM)

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