四维速度与四维力的正交性及其在教学中的应用

The Orthogonality of 4-Vector Velocity and 4-Vector Force and Its Applications in Teaching

摘要: 根据四维速度与四维力的正交性，推导出了四维空间中库仑力的相对论表达式，由此推导出了相对论Lorentz力，并详细讨论它与Maxwell方程组的关系；本文指出这些推导形成了一种分析Maxwell方程组的新方法。在电磁学和电动力学教学中，如果从四维速度与四维力正交性出发，能够更好地理解相对论与Maxwell方程组之间的关系。

Abstract: According to the orthogonality of 4-vector velocity and 4-vector force, the Coulomb force between two charged particles is expressed in terms of relativistic 4-vectors, from which the relativistic Lorentz force is derived, and Maxwell equations are discussed in detail; it was pointed out that these derivations form a new method for analyzing the Maxwell equations. In the teaching of elec-tromagnetics and electrodynamics, the orthogonality of 4-vector velocity and 4-vector force pro-vides useful insights into the relationship of the relativity and the Maxwell equations.