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Alternative routes to the retarded potentials

机译:延迟潜力的替代路线

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摘要

Two procedures to introduce the familiar retarded potentials of Maxwell's equations are reviewed. The first well-known procedure makes use of the Lorenz-gauge potentials of Maxwell's equations. The second less-known procedure applies the retarded Helmholtz theorem to Maxwell's equations. Both procedures are compared in the context of an undergraduate presentation of electrodynamics. The covariant form of both procedures is discussed for completeness. As a related discussion, two procedures to introduce the unfamiliar instantaneous potentials of Maxwell's equations are also reviewed. The first procedure applies the standard Helmholtz theorem to Maxwell's equations and the second one uses the Coulomb-gauge potentials of Maxwell's equations. The retarded and instantaneous forms of the potentials of Maxwell's equations are briefly commented upon. The retarded Helmholtz theorem is used to introduce the retarded potentials of Maxwell's equations with magnetic monopoles.
机译:综述了两个介绍麦克斯韦方程式潜在的潜在的两个程序。 第一种众所周知的程序利用Maxwell等式的Lorenz-Caum。 第二个鲜明的程序将延迟的Helmholtz定理应用于Maxwell等式。 在电动力学本科介绍的情况下,两种程序都比较。 两种程序的协调形式讨论完整性。 作为相关讨论,还审查了两个介绍麦克斯韦方程式瞬间潜力的两个程序。 第一个程序将标准Helmholtz定理应用于Maxwell的方程,第二个程序使用Maxwell方程的库仑仪势。 简要评论了Maxwell方程潜力的延迟和瞬时形式。 延迟的Helmholtz定理用于引入Maxwell等式与磁垄断的延迟电位。

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