[問題] 洛侖茲條件和連續方程的一致性

[kerry0720 (nimab6666)]

【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
.

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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推 zhanguihan: Under the Lorentz gauge condition, the scalar(vect
→ zhanguihan: or) potential obeys the inhomogeneous wave equatio
→ zhanguihan: n with charge(current) density as the source. Appl
→ zhanguihan: ying the partial time derivative on above inhomoge
→ zhanguihan: neous wave equation with the scalar potential and
→ zhanguihan:  the divergence operator on the vector potential,
→ zhanguihan:  the continuity equation will be obtained once the
→ zhanguihan:  Lorentz gauge condition is valid.
→ variation: 從算的看起來，你似乎沒在分 有prime 跟 沒prime
→ kerry0720: 我大概知道要用什麼方法證了，感謝兩位的幫忙
推 Vulpix: Your formulae for A and V are under "Coulumn gauge".