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Display information for equation id:math.1446.95 on revision:1446
* Page found: Relativistische Formulierung der Elektrodynamik (eq math.1446.95)
(force rerendering)Occurrences on the following pages:
Hash: e958af2d2a626e8af7924cf7533dd4bb
TeX (original user input):
\begin{align}
& {{\varepsilon }^{\alpha \beta \mu \nu }}{{\partial }_{\beta }}{{F}_{\mu \nu }}={{\varepsilon }^{\alpha \beta \mu \nu }}{{\partial }_{\beta }}{{\partial }_{\mu }}{{\Phi }_{\nu }}-{{\varepsilon }^{\alpha \beta \mu \nu }}{{\partial }_{\beta }}{{\partial }_{\nu }}{{\Phi }_{\mu }}=0 \\
& {{\partial }_{\beta }}{{F}^{\beta \nu }}={{\partial }_{\beta }}{{\partial }^{\beta }}{{\Phi }^{\nu }}=\frac{1}{{{\varepsilon }_{0}}c}{{j}^{\nu }} \\
\end{align}
TeX (checked):
{\begin{aligned}&{{\varepsilon }^{\alpha \beta \mu \nu }}{{\partial }_{\beta }}{{F}_{\mu \nu }}={{\varepsilon }^{\alpha \beta \mu \nu }}{{\partial }_{\beta }}{{\partial }_{\mu }}{{\Phi }_{\nu }}-{{\varepsilon }^{\alpha \beta \mu \nu }}{{\partial }_{\beta }}{{\partial }_{\nu }}{{\Phi }_{\mu }}=0\\&{{\partial }_{\beta }}{{F}^{\beta \nu }}={{\partial }_{\beta }}{{\partial }^{\beta }}{{\Phi }^{\nu }}={\frac {1}{{{\varepsilon }_{0}}c}}{{j}^{\nu }}\\\end{aligned}}
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MathML (2.597 KB / 425 B) :
<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mtable columnalign="right left right left right left right left right left right left" columnspacing="0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em" displaystyle="true" rowspacing="3pt"><mtr><mtd></mtd><mtd><msup><mi>ε</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>α</mi><mi>β</mi><mi>μ</mi><mi>ν</mi></mrow></mrow></msup><msub><mi>∂</mi><mrow data-mjx-texclass="ORD"><mi>β</mi></mrow></msub><msub><mi>F</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>μ</mi><mi>ν</mi></mrow></mrow></msub><mo>=</mo><msup><mi>ε</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>α</mi><mi>β</mi><mi>μ</mi><mi>ν</mi></mrow></mrow></msup><msub><mi>∂</mi><mrow data-mjx-texclass="ORD"><mi>β</mi></mrow></msub><msub><mi>∂</mi><mrow data-mjx-texclass="ORD"><mi>μ</mi></mrow></msub><msub><mi mathvariant="normal">Φ</mi><mrow data-mjx-texclass="ORD"><mi>ν</mi></mrow></msub><mo>−</mo><msup><mi>ε</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>α</mi><mi>β</mi><mi>μ</mi><mi>ν</mi></mrow></mrow></msup><msub><mi>∂</mi><mrow data-mjx-texclass="ORD"><mi>β</mi></mrow></msub><msub><mi>∂</mi><mrow data-mjx-texclass="ORD"><mi>ν</mi></mrow></msub><msub><mi mathvariant="normal">Φ</mi><mrow data-mjx-texclass="ORD"><mi>μ</mi></mrow></msub><mo>=</mo><mn>0</mn></mtd></mtr><mtr><mtd></mtd><mtd><msub><mi>∂</mi><mrow data-mjx-texclass="ORD"><mi>β</mi></mrow></msub><msup><mi>F</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>β</mi><mi>ν</mi></mrow></mrow></msup><mo>=</mo><msub><mi>∂</mi><mrow data-mjx-texclass="ORD"><mi>β</mi></mrow></msub><msup><mi>∂</mi><mrow data-mjx-texclass="ORD"><mi>β</mi></mrow></msup><msup><mi mathvariant="normal">Φ</mi><mrow data-mjx-texclass="ORD"><mi>ν</mi></mrow></msup><mo>=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>ε</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mi>c</mi></mrow></mrow></mfrac></mrow><msup><mi>j</mi><mrow data-mjx-texclass="ORD"><mi>ν</mi></mrow></msup></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow></mstyle></mrow></math>
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