含外源电动力学的变分形式
A variational formulation of electrodynamics with external sources
摘要：
我们提出了一个变分制定电动力学使用德拉姆偶，奇微分形式。我们的制定依赖于一个变分原理更完整的比Hamilton原理，从而导致与外部源的场方程，并允许推导的本构关系。我们把时空中的一个区域解释为一个奇的德拉姆4流。这就允许以统一的方式处理不同类型的边界问题。特别是，我们获得了一个平滑过渡到无穷小的版本，通过使用一个点的支持电流。
英文摘要：
We present a variational formulation of electrodynamics using de Rham even and odd differential forms. Our formulation relies on a variational principle more complete than the Hamilton principle and thus leads to field equations with external sources and permits the derivation of the constitutive relations. We interpret a domain in space-time as an odd de Rham 4-current. This permits a treatment of different types of boundary problems in an unified way. In particular we obtain a smooth transition to the infinitesimal version by using a current with a one point support.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
