作者kerry0720 (nimab6666)
看板Physics
標題[問題] 洛侖茲條件和連續方程的一致性
時間Fri Feb 18 15:16:24 2022
【出處】(習題或問題的出處)
Field and Wave Electromagnetics 2e
P.7-12
【題目】(題目的文字敘述,如有圖片亦可提供圖片)
Prove that the Lorentz condition is consistent with the equation of continuity
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https://i.imgur.com/EIXQBBV.jpg
這是我目前寫到的地方,我無法證明最後一條式子的RHS=0,請問有電磁學大師可以解惑
嗎,非常感謝。
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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: 從算的看起來,你似乎沒在分 有prime 跟 沒prime 02/18 16:25
10F:→ kerry0720: 我大概知道要用什麼方法證了,感謝兩位的幫忙 02/18 17:52
11F:推 Vulpix: Your formulae for A and V are under "Coulumn gauge". 02/18 18:29