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Display information for equation id:math.1446.51 on revision:1446

* Page found: Relativistische Formulierung der Elektrodynamik (eq math.1446.51)

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Hash: 267227ce81b7d690f00798151ec2230f

TeX (original user input):

\begin{align}
& \bar{E}=-grad\phi -\frac{\partial }{\partial t}\bar{A} \\
& \Rightarrow {{E}^{\alpha }}=-{{\partial }_{\alpha }}\phi -\frac{1}{c}\frac{\partial }{\partial t}c{{A}^{\alpha }}=-{{\partial }_{\alpha }}{{\Phi }^{0}}-{{\partial }_{0}}{{\Phi }^{\alpha }}={{\partial }^{\alpha }}{{\Phi }^{0}}-{{\partial }^{0}}{{\Phi }^{\alpha }} \\
\end{align}

TeX (checked):

{\begin{aligned}&{\bar {E}}=-grad\phi -{\frac {\partial }{\partial t}}{\bar {A}}\\&\Rightarrow {{E}^{\alpha }}=-{{\partial }_{\alpha }}\phi -{\frac {1}{c}}{\frac {\partial }{\partial t}}c{{A}^{\alpha }}=-{{\partial }_{\alpha }}{{\Phi }^{0}}-{{\partial }_{0}}{{\Phi }^{\alpha }}={{\partial }^{\alpha }}{{\Phi }^{0}}-{{\partial }^{0}}{{\Phi }^{\alpha }}\\\end{aligned}}

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MathML (2.438 KB / 447 B) :

E¯=gradϕtA¯Eα=αϕ1ctcAα=αΦ00Φα=αΦ00Φα
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