论文标题
condicióndelorentz y ecuaciones de ondaseTtromagnéticascomo pripiedades expernes del sistema de Maxwell
Condición de Lorentz y ecuaciones de ondas electromagnéticas como propiedades emergentes del sistema de Maxwell
论文作者
论文摘要
本文介绍了电磁波方程和洛伦兹条件的研究,在系统理论的背景下,麦克斯韦系统的新兴特性。为此,首先推导波浪方程和Helmholtz方程。使用与主矢量计算运算符密切相关的位移狄拉克运算符,可以在麦克斯韦时谐波系统和两个四个四个方程式之间建立直接连接。同样,公开了基于标量和向量电位的简单四元素方程,将洛伦兹条件的应用转换为简单的四个方程式。
This article deals with the study of electromagnetic waves equations and the Lorentz condition, as emergent properties of Maxwell's system in the context of systems theory. To do this, the wave equations and the Helmholtz equation are first deduced. Using the displaced Dirac operator, which is closely related to the main vector calculation operators, it is possible to establish a direct connection between the solutions of the Maxwell time-harmonic system and two quaternion equations. Also, the application of the Lorentz condition to transform the time-harmonic Maxwell system into a simple quaternion equation based on the scalar and vector potentials is exposed.