论文标题
关于Feynman关于电磁主义的手写笔记以及在领域引入潜力的想法
On Feynman's handwritten notes on electromagnetism and the idea of introducing potentials before fields
论文作者
论文摘要
理查德·费曼(Richard P. Feynman)在他最近发现的有关“处理电动力学的替代方法”的手写笔记中,猜测是从波浪方程中获取不均匀的麦克斯韦方程,以获得矢量电位的电力和磁场。为了实施这一教学上有趣的想法,我们在本文中开发了在电场和磁场之前引入标量和向量电位的方法。我们将通过连续性方程式表达的电荷保护视为基本公理,并制作该方程式的启发式手柄,以获得延迟的标量和矢量电势,其波动方程产生了均匀和不均匀的Maxwell方程。我们还展示了如何在Minkowski时空中以协变量得出的麦克斯韦方程式的这种公理效应程序。
In his recently discovered handwritten notes on "An alternate way to handle electrodynamics" dated on 1963, Richard P. Feynman speculated with the idea of getting the inhomogeneous Maxwell's equations for the electric and magnetic fields from the wave equation for the vector potential. With the aim of implementing this pedagogically interesting idea, we develop in this paper the approach of introducing the scalar and vector potentials before the electric and magnetic fields. We consider the charge conservation expressed through the continuity equation as a basic axiom and make a heuristic handle of this equation to obtain the retarded scalar and vector potentials, whose wave equations yield the homogeneous and inhomogeneous Maxwell's equations. We also show how this axiomatic-heuristic procedure to obtain Maxwell's equations can be formulated covariantly in the Minkowski spacetime.