论文标题
电磁学中的对称原理和群体理论
Symmetry Principles and Group Theory in Electromagnetics
论文作者
论文摘要
小组理论用于许多当代物理学教科书。但是，电磁界通常将群体理论视为一种“异国”工具。基于组理论，有关电磁和电动力学的研究生和研究生教科书通常不包含电磁场和波的特性的描述。我们在本文中从教学观点，几种类型的对称性以及相应的群体和表示中讨论。使用组理论方法的好处是对电磁现象的物理理解和数值计算的显着降低。这些方法是一般且精确的。
Group theory is used in many textbooks of contemporary physics. However, electromagnetic community often considers group theory as an "exotic" tool. Graduate and postgraduate textbooks on electromagnetics and electrodynamics usually do not contain a description of properties of electromagnetic fields and waves on the basis of group theory. We discuss in this paper from the didactic point of view, several types of symmetry and the corresponding groups and representations. The benefits of the use of group theoretical methods are a more deep physical understanding of the electromagnetic phenomena and a significant reduction of numerical calculations. These methods are general and exact.
