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Display information for equation id:math.2683.25 on revision:2683
* Page found: Weitere Eigenschaften der Dirac-Gleichung (eq math.2683.25)
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Hash: 94aa79320caa4586ccaf852f3f6adc32
TeX (original user input):
\begin{align}
& \left( \mathfrak{i} {{\partial }_{t}}-\underline{\alpha }\frac{1}{\mathfrak{i} }\underline{\nabla }-\beta m \right)\Psi =0\quad |\centerdot \beta \\
& \left( \mathfrak{i} {{\gamma }^{0}}\underbrace{{{\partial }_{t}}}_{{{\partial }_{0}}}+\frac{1}{\mathfrak{i} }\sum\limits_{k=1}^{3}{{{\gamma }^{k}}\underbrace{{{\partial }_{{{x}^{k}}}}}_{{{\partial }_{k}}}} \right)\Psi =0 \\
\end{align}
TeX (checked):
{\begin{aligned}&\left({\mathfrak {i}}{{\partial }_{t}}-{\underline {\alpha }}{\frac {1}{\mathfrak {i}}}{\underline {\nabla }}-\beta m\right)\Psi =0\quad |\centerdot \beta \\&\left({\mathfrak {i}}{{\gamma }^{0}}\underbrace {{\partial }_{t}} _{{\partial }_{0}}+{\frac {1}{\mathfrak {i}}}\sum \limits _{k=1}^{3}{{{\gamma }^{k}}\underbrace {{\partial }_{{x}^{k}}} _{{\partial }_{k}}}\right)\Psi =0\\\end{aligned}}
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MathML (2.903 KB / 566 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><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi mathvariant="fraktur">i</mi></mrow></mrow><msub><mi>∂</mi><mrow data-mjx-texclass="ORD"><mi>t</mi></mrow></msub><mo>−</mo><mrow data-mjx-texclass="ORD"><munder><mi>α</mi><mo>_</mo></munder></mrow><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"><mrow data-mjx-texclass="ORD"><mi mathvariant="fraktur">i</mi></mrow></mrow></mrow></mfrac></mrow><mrow data-mjx-texclass="ORD"><munder><mi mathvariant="normal">∇</mi><mo>_</mo></munder></mrow><mo>−</mo><mi>β</mi><mi>m</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mi mathvariant="normal">Ψ</mi><mo>=</mo><mn>0</mn><mspace width="1em"></mspace><mo>|</mo><mo variantform="True">⋅</mo><mi>β</mi></mtd></mtr><mtr><mtd></mtd><mtd><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi mathvariant="fraktur">i</mi></mrow></mrow><msup><mi>γ</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msup><munder><mrow data-mjx-texclass="OP"><munder><msub><mi>∂</mi><mrow data-mjx-texclass="ORD"><mi>t</mi></mrow></msub><mo>⏟</mo></munder></mrow><mrow data-mjx-texclass="ORD"><msub><mi>∂</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mrow></munder><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"><mrow data-mjx-texclass="ORD"><mi mathvariant="fraktur">i</mi></mrow></mrow></mrow></mfrac></mrow><munderover><mo form="prefix" texclass="OP">∑</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>k</mi><mo>=</mo><mn>1</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></munderover><mrow data-mjx-texclass="ORD"><msup><mi>γ</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msup><munder><mrow data-mjx-texclass="OP"><munder><msub><mi>∂</mi><mrow data-mjx-texclass="ORD"><msup><mi>x</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msup></mrow></msub><mo>⏟</mo></munder></mrow><mrow data-mjx-texclass="ORD"><msub><mi>∂</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub></mrow></munder></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mi mathvariant="normal">Ψ</mi><mo>=</mo><mn>0</mn></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow></mstyle></mrow></math>
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