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arXiv 1006.0696physics.class-ph
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关于电磁场的$δ$ -奇点

On the $δ$-singularities of the electromagnetic field

C Vrejoiu, R Zus

摘要:

导出了电磁场的奇异性,使之包含了代表电荷和电流分布的所有点状多极子。我们表明,对于更高的订单,它是更有效的领域表示的对称和跟踪自由的时刻。在静态的情况下,三角洲奇异性表示为任意的多极订单,而在动态的情况下,我们限制自己的较低的订单。我们给出的算法可以很容易地推广到下一阶。

英文摘要:

The singularities of the electromagnetic field are derived to include all the point-like multipoles representing an electric charge and current distribution. We show that for higher orders, it is more efficient to have fields represented in terms of symmetric and trace free moments. In the static case, the delta-singularities are expressed for arbitrary multipole orders, while in the dynamic case we restrict ourselves to the lower orders. The algorithm we give can be easily extended to the next orders.

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