麦克斯韦方程组的推导
Obtaining Maxwell's equations heuristically
摘要:
本文从运动电荷受洛伦兹力的实验事实出发,应用简单性(仅一阶导数)和线性性(叠加原理)的基本原理,证明了电磁场的微观麦克斯韦方程组的结构可以利用空间反演和时间反演下场的变换性质来推导。利用电荷守恒和电磁波以光速传播的实验事实以及洛伦兹力的伽利略不变性,使我们能够自然地引入任意的电动力学单位。
英文摘要:
Starting from the experimental fact that a moving charge experiences the Lorentz force and applying the fundamental principles of simplicity (first order derivatives only) and linearity (superposition principle), we show that the structure of the microscopic Maxwell equations for the electromagnetic fields can be deduced heuristically by using the transformation properties of the fields under space inversion and time reversal. Using the experimental facts of charge conservation and that electromagnetic waves propagate with the speed of light together with Galileo invariance of the Lorentz force allows us to introduce arbitrary electrodynamic units naturally.
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