Re: [問題] 洛侖茲條件和連續方程的一致性已刪文
※ 引述《kerry0720 (nimab6666)》之銘言:
: 【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 continui
ty
: .
: 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。
Under the Lorentz gauge, the scalar potential obeys the inhomogeneous wave equ
ation with the charge density as the source. Similarly, the vector potential a
lso obeys the same equation with the current density as the source.
Applying the partial time derivative on the above scalar potential inhomogeneo
us wave equation and the divergence operator on the vector potential one, the
continuity equation will be derived with the Lorentz gauge condition.
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