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Display information for equation id:math.1807.50 on revision:1807
* Page found: Dirac- Gleichung für Elektronen (eq math.1807.50)
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Hash: 7bde632fd126ee6c6d0aface2987e55c
TeX (original user input):
\begin{align}
& {{\sigma }^{1}}=\left( \begin{matrix}
0 & 1 \\
1 & 0 \\
\end{matrix} \right) \\
& {{\sigma }^{2}}=\left( \begin{matrix}
0 & -i \\
i & 0 \\
\end{matrix} \right) \\
& {{\sigma }^{3}}=\left( \begin{matrix}
1 & 0 \\
0 & -1 \\
\end{matrix} \right) \\
& tr{{\sigma }^{\mu }}=0 \\
\end{align}
TeX (checked):
{\begin{aligned}&{{\sigma }^{1}}=\left({\begin{matrix}0&1\\1&0\\\end{matrix}}\right)\\&{{\sigma }^{2}}=\left({\begin{matrix}0&-i\\i&0\\\end{matrix}}\right)\\&{{\sigma }^{3}}=\left({\begin{matrix}1&0\\0&-1\\\end{matrix}}\right)\\&tr{{\sigma }^{\mu }}=0\\\end{aligned}}
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MathML (1.916 KB / 388 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>σ</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msup><mo>=</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mtable columnspacing="1em" rowspacing="4pt"><mtr><mtd><mn>0</mn></mtd><mtd><mn>1</mn></mtd></mtr><mtr><mtd><mn>1</mn></mtd><mtd><mn>0</mn></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow></mtd></mtr><mtr><mtd></mtd><mtd><msup><mi>σ</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo>=</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mtable columnspacing="1em" rowspacing="4pt"><mtr><mtd><mn>0</mn></mtd><mtd><mo>−</mo><mi>i</mi></mtd></mtr><mtr><mtd><mi>i</mi></mtd><mtd><mn>0</mn></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow></mtd></mtr><mtr><mtd></mtd><mtd><msup><mi>σ</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msup><mo>=</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mtable columnspacing="1em" rowspacing="4pt"><mtr><mtd><mn>1</mn></mtd><mtd><mn>0</mn></mtd></mtr><mtr><mtd><mn>0</mn></mtd><mtd><mo>−</mo><mn>1</mn></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow></mtd></mtr><mtr><mtd></mtd><mtd><mi>t</mi><mi>r</mi><msup><mi>σ</mi><mrow data-mjx-texclass="ORD"><mi>μ</mi></mrow></msup><mo>=</mo><mn>0</mn></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow></mstyle></mrow></math>
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