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Display information for equation id:math.2123.4 on revision:2123
* Page found: Eichinvarianz (eq math.2123.4)
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\begin{align}
& \bar{E}=-\nabla \Phi \left( \bar{r},t \right)-\frac{\partial }{\partial t}\bar{A}\left( \bar{r},t \right)=-\nabla \Phi \acute{\ }\left( \bar{r},t \right)-\frac{\partial }{\partial t}\bar{A}\acute{\ }\left( \bar{r},t \right) \\
& \bar{B}=\nabla \times \bar{A}\left( \bar{r},t \right)=\nabla \times \bar{A}\acute{\ }\left( \bar{r},t \right) \\
& \Rightarrow \bar{A}\acute{\ }\left( \bar{r},t \right)=\bar{A}\left( \bar{r},t \right)+\nabla G\left( \bar{r},t \right) \\
& \Rightarrow -\nabla \Phi \left( \bar{r},t \right)-\frac{\partial }{\partial t}\bar{A}\left( \bar{r},t \right)=-\nabla \Phi \acute{\ }\left( \bar{r},t \right)-\frac{\partial }{\partial t}\left( \bar{A}\left( \bar{r},t \right)+\nabla G\left( \bar{r},t \right) \right) \\
& \Rightarrow \nabla \left( \Phi \acute{\ }\left( \bar{r},t \right)-\Phi \left( \bar{r},t \right)+\frac{\partial }{\partial t}G\left( \bar{r},t \right) \right)=0 \\
& \Rightarrow \left( \Phi \acute{\ }\left( \bar{r},t \right)-\Phi \left( \bar{r},t \right)+\frac{\partial }{\partial t}G\left( \bar{r},t \right) \right)=g(t)(r-unabh\ddot{a}ngig) \\
\end{align}
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data-mjx-texclass="CLOSE">)</mo></mrow><mo>=</mo><mi>g</mi><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo><mo stretchy="false">(</mo><mi>r</mi><mo>−</mo><mi>u</mi><mi>n</mi><mi>a</mi><mi>b</mi><mi>h</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>a</mi><mo>¨</mo></mover></mrow></mrow><mi>n</mi><mi>g</mi><mi>i</mi><mi>g</mi><mo stretchy="false">)</mo></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow></mstyle></mrow></math>
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