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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 (2.247 KB / 400 B) :

σ1=(0110)σ2=(0ii0)σ3=(1001)trσμ=0
<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mtable displaystyle="true"><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><msup><mi>σ</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msup><mo stretchy="false">=</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mo data-mjx-texclass="OPEN"></mo><mtable><mtr><mtd><mn>0</mn></mtd><mtd><mn>1</mn></mtd></mtr><mtr><mtd><mn>1</mn></mtd><mtd><mn>0</mn></mtd></mtr></mtable><mo fence="true" stretchy="true" symmetric="true" data-mjx-texclass="CLOSE"></mo></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><msup><mi>σ</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo stretchy="false">=</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mo data-mjx-texclass="OPEN"></mo><mtable><mtr><mtd><mn>0</mn></mtd><mtd><mo stretchy="false"></mo><mi>i</mi></mtd></mtr><mtr><mtd><mi>i</mi></mtd><mtd><mn>0</mn></mtd></mtr></mtable><mo fence="true" stretchy="true" symmetric="true" data-mjx-texclass="CLOSE"></mo></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><msup><mi>σ</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msup><mo stretchy="false">=</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mo data-mjx-texclass="OPEN"></mo><mtable><mtr><mtd><mn>1</mn></mtd><mtd><mn>0</mn></mtd></mtr><mtr><mtd><mn>0</mn></mtd><mtd><mo stretchy="false"></mo><mn>1</mn></mtd></mtr></mtable><mo fence="true" stretchy="true" symmetric="true" data-mjx-texclass="CLOSE"></mo></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><mi>t</mi><mi>r</mi><msup><mi>σ</mi><mrow data-mjx-texclass="ORD"><mi>μ</mi></mrow></msup><mo stretchy="false">=</mo><mn>0</mn></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd></mtr></mtable></mstyle></mrow></math>

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Identifiers

  • σ
  • σ
  • i
  • i
  • σ
  • t
  • r
  • σ
  • μ

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