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arXiv 2408.05481physics.class-phhep-phphysics.comp-phphysics.ed-ph
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过去光锥形式中的协变电磁学

Covariant Electromagnetism in Past-Light-Cone Formalism

Daiju Nakayama, Kin-ya Oda, Koichiro Yasuda

AI总结:

提出一种显式协变电磁学形式,基于过去光锥确定运动电荷的电磁场,推广Liénard-Wiechert势,可计算机实现,并与教科书方法比较。

摘要:

我们提出了一种相对论电磁学的显式协变表述,专注于以显式洛伦兹协变方式计算运动电荷产生的电磁场。给定时空点处的电磁场由点电荷世界线与该时空点过去光锥的交点处的运动决定,从而确保因果一致性。该形式提供了Liénard-Wiechert势的显式协变推广,并允许在计算机上直接实现。我们将我们的表述与标准教科书方法进行比较,并分析其在各种物理极限下的行为。

英文摘要:

We present a manifestly covariant formulation of relativistic electromagnetism, focusing on the computation of electromagnetic fields from moving charges in a manifestly Lorentz-covariant manner. The electromagnetic field at a given spacetime point is determined by the motion of point charges at the intersection of their worldlines with the past light cone of the spacetime point, ensuring causal consistency. This formalism provides a manifestly covariant generalization of the Liénard-Wiechert potentials and allows direct implementation on computers. We compare our formulation with standard textbook approaches and analyze its behavior in various physical limits.

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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