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Display information for equation id:math.1199.920 on revision:1199

* Page found: Elektrodynamik Schöll (eq math.1199.920)

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TeX (original user input):

\begin{align}
& 3)\nabla \cdot \bar{E}=-\frac{\partial }{\partial t}\nabla \cdot \bar{A}\left( \bar{r},t \right)-\nabla \cdot \nabla \Phi  \\
& \nabla \cdot \bar{A}\left( \bar{r},t \right)=-\frac{1}{{{c}^{2}}}\frac{\partial }{\partial t}\Phi  \\
& \Rightarrow \nabla \cdot \bar{E}=-\frac{\partial }{\partial t}\nabla \cdot \bar{A}\left( \bar{r},t \right)-\nabla \cdot \nabla \Phi =\frac{1}{{{c}^{2}}}\frac{{{\partial }^{2}}}{\partial {{t}^{2}}}\Phi -\Delta \Phi =-\#\Phi  \\
\end{align}

TeX (checked):

{\begin{aligned}&3)\nabla \cdot {\bar {E}}=-{\frac {\partial }{\partial t}}\nabla \cdot {\bar {A}}\left({\bar {r}},t\right)-\nabla \cdot \nabla \Phi \\&\nabla \cdot {\bar {A}}\left({\bar {r}},t\right)=-{\frac {1}{{c}^{2}}}{\frac {\partial }{\partial t}}\Phi \\&\Rightarrow \nabla \cdot {\bar {E}}=-{\frac {\partial }{\partial t}}\nabla \cdot {\bar {A}}\left({\bar {r}},t\right)-\nabla \cdot \nabla \Phi ={\frac {1}{{c}^{2}}}{\frac {{\partial }^{2}}{\partial {{t}^{2}}}}\Phi -\Delta \Phi =-\#\Phi \\\end{aligned}}

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3)E¯=tA¯(r¯,t)ΦA¯(r¯,t)=1c2tΦE¯=tA¯(r¯,t)Φ=1c22t2ΦΔΦ=#Φ
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  • E¯
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  • E¯
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  • c
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