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arXiv physics/0305092physics.gen-ph
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克利福德代数形式中的洛伦兹不变相对论电动力学。具有双向量场F的公式

Lorentz invariant relativistic electrodynamics in the Clifford algebra formalism. The formulation with bivector field F

Tomislav Ivezic

摘要:

在本文中,我们提出了相对论电动力学的公式(独立于参考系和所选择的坐标系中),使用法拉第双矢量场F。这种具有F场的公式是一个独立、完整和一致的公式,无需电场和磁场或电磁势。所有的物理量都是在没有参考系的情况下定义的,或者当引入一些基时,每个量都被表示为包括分量和基的基于坐标的几何量。由F的场方程直接导出了应力-能量矢量T(n)、能量密度U、坡印廷矢量S和动量密度g、角动量密度M和洛伦兹力K的新的、与观测者无关的表达式。

英文摘要:

In this paper we present the formulation of relativistic electrodynamics (independent of the reference frame and of the chosen system of coordinates in it) that uses the Faraday bivector field F. This formulation with F field is a self-contained, complete and consistent formulation that dispenses with either electric and magnetic fields or the electromagnetic potentials. All physical quantities are defined without reference frames or, when some basis is introduced, every quantity is represented as a coordinate-based geometric quantity comprising both components and a basis. The new, observer independent, expressions for the stress-energy vector T(n), the energy density U, the Poynting vector S and the momentum density g, the angular momentum density M and the Lorentz force K are directly derived from the field equations with F.

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。

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