论文标题
提高学生对电动力学的理解:差异形式的情况
Improving student understanding of electrodynamics: the case for differential forms
论文作者
论文摘要
在课堂上很少讨论差异形式在电磁中的启发性作用。本文的目的是提出可以从e \&m的差异形式方法中学到的一些相关见解。这篇文章是独一无二的,因为没有以前的形式知识可以遵循它。 Casimir效应中均匀的重力场和量子真空引起的经典真空的有效极化用于说明在非主动情况下处理差异形式在处理电磁学方面的解释的能力和简单性。我们希望本文激励物理老师将差异形式的主题带到课堂上。
The illuminating role of differential forms in electromagnetism is seldom discussed in the classroom. It is the aim of this article to bring forth some of the relevant insights that can be learnt from a differential forms approach to E\&M. The article is self-contained in that no previous knowledge of forms is needed to follow it through. The effective polarization of the classical vacuum due to a uniform gravitational field and of the quantum vacuum in the Casimir effect are used to illustrate the power and easiness of interpretation of differential forms in dealing with electromagnetism in nontrivial situations. We hope that this article motivates the physics teacher to bring the subject of differential forms to the classroom.