论文标题
四维图片III的教学价值III:麦克斯韦方程的解决方案
The pedagogical value of the four-dimensional picture III: Solutions to Maxwell's equations
论文作者
论文摘要
我们概述了解决麦克斯韦方程式的常规方法。我们将其作为起点,是向量电位的概念。在电动力学中介绍这一概念的理由是,麦克斯韦方程的集合似乎过于确定。我们证明了麦克斯韦方程的两个基本解决方案的存在,它们的线性组合包括各种经典电磁场配置。
We outline a regular way for solving Maxwell's equations. We take, as the starting point, the notion of vector potentials. The rationale for introducing this notion in electrodynamics is that the set of Maxwell's equations is seemingly overdetermined. We demonstrate the existence of two fundamental solutions to Maxwell's equations whose linear combinations comprise the whole variety of classical electromagnetic field configurations.