作者kerry0720 (nimab6666)
看板Physics
标题[问题] 洛仑兹条件和连续方程的一致性
时间Fri Feb 18 15:16:24 2022
【出处】(习题或问题的出处)
Field and Wave Electromagnetics 2e
P.7-12
【题目】(题目的文字叙述，如有图片亦可提供图片)
Prove that the Lorentz condition is consistent with the equation of continuity
.
https://i.imgur.com/EIXQBBV.jpg
这是我目前写到的地方，我无法证明最後一条式子的RHS=0，请问有电磁学大师可以解惑
吗，非常感谢。
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1F：推 zhanguihan: Under the Lorentz gauge condition, the scalar(vect 02/18 15:59
2F：→ zhanguihan: or) potential obeys the inhomogeneous wave equatio 02/18 15:59
3F：→ zhanguihan: n with charge(current) density as the source. Appl 02/18 15:59
4F：→ zhanguihan: ying the partial time derivative on above inhomoge 02/18 15:59
5F：→ zhanguihan: neous wave equation with the scalar potential and 02/18 15:59
6F：→ zhanguihan: the divergence operator on the vector potential, 02/18 15:59
7F：→ zhanguihan: the continuity equation will be obtained once the 02/18 15:59
8F：→ zhanguihan: Lorentz gauge condition is valid. 02/18 15:59
9F：→ variation: 从算的看起来，你似乎没在分 有prime 跟 没prime 02/18 16:25
10F：→ kerry0720: 我大概知道要用什麽方法证了，感谢两位的帮忙 02/18 17:52
11F：推 Vulpix: Your formulae for A and V are under "Coulumn gauge". 02/18 18:29