论文标题

电动力学的速度量规电位

Velocity Gauge Potentials in Electrodynamics

论文作者

Giri, D. V., Tesche, Frederick M., Morgan, Michael A.

论文摘要

向量和标量电势用于解决涉及电磁(EM)场的边界值问题。通过选择非唯一的仪表关系,这些电势是独一无二的。最常用的仪表是以洛伦兹和库仑命名的仪表,两者都可以定义为所谓的速度量规或v-gauge的特殊情况。通常不向电动力学学生教授这个广义仪表。在本文中,我们回顾了包括EM场不变性在内的速度仪的属性,并通过示例演示了其应用。

Vector and scalar potentials are used for convenience in solving boundary value problems involving electromagnetic (EM) fields. The potentials are made unique by choosing a non-unique gauge relationship. The most commonly used gauges are those named for Lorenz and Coulomb, both of which may be defined as special cases of what is termed the velocity gauge, or v-gauge. This generalized gauge is not usually taught to students of electrodynamics. In this paper, we review properties of the velocity gauge, including EM field invariance, and demonstrate its application via an example.

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