静电荷的电磁动量和恒定电流分布
On the electromagnetic momentum of static charge and steady current distributions
摘要：
为了在所有场都是C^1类场的情况下与坡印廷公式完全一致，我们对法拉第和弗瑞关于静电荷分布和稳态电流分布的电磁动量公式进行了推广，即：连续和连续可微，积分体积是有限或无限的。这三个公式可以进一步推广到允许奇点存在于场中孤立点和分离分布为C ^[1]类的区域的表面上的情况。应用程序是由电和磁，点状和有限的偶极系统，重点是对电磁动量的大小和位置的奇异性的影响。
英文摘要：
Faraday's and Furry's formulas for the electromagnetic momentum of static charge distributions combined with steady electric current distributions are generalised in order to obtain full agreement with Poynting's formula in the case where all fields are of class C^1, i.e., continuous and continuously differentiable, and the integration volume is of finite or infinite extent. These three formulas are further generalised to the case where singularities are allowed to exist at isolated points in the fields, and at surfaces separating domains in which the distributions are of class C^1. Applications are made to electric and magnetic, point-like and finite dipolar systems, with an emphasis on the impact of singularities on the magnitude and location of the electromagnetic momentum.
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