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Display information for equation id:math.1690.42 on revision:1690

* Page found: Spin- Operatoren und Zustände (eq math.1690.42)

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Hash: 836b7c4b5c8ad5b973242958b68c6ff1

TeX (original user input):

\begin{align}

& {{\left( {{{\hat{\bar{\sigma }}}}_{1}} \right)}_{\alpha \beta }}=\left( \begin{matrix}

0 & 1  \\

1 & 0  \\

\end{matrix} \right) \\

& {{\left( {{{\hat{\bar{\sigma }}}}_{2}} \right)}_{\alpha \beta }}=\left( \begin{matrix}

0 & -i  \\

i & 0  \\

\end{matrix} \right) \\

& {{\left( {{{\hat{\bar{\sigma }}}}_{3}} \right)}_{\alpha \beta }}=\left( \begin{matrix}

1 & 0  \\

0 & -1  \\

\end{matrix} \right) \\

\end{align}

TeX (checked):

{\begin{aligned}&{{\left({{\hat {\bar {\sigma }}}_{1}}\right)}_{\alpha \beta }}=\left({\begin{matrix}0&1\\1&0\\\end{matrix}}\right)\\&{{\left({{\hat {\bar {\sigma }}}_{2}}\right)}_{\alpha \beta }}=\left({\begin{matrix}0&-i\\i&0\\\end{matrix}}\right)\\&{{\left({{\hat {\bar {\sigma }}}_{3}}\right)}_{\alpha \beta }}=\left({\begin{matrix}1&0\\0&-1\\\end{matrix}}\right)\\\end{aligned}}

LaTeXML (experimentell; verwendet MathML) rendering

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MathML (experimentell; keine Bilder) rendering

MathML (2.872 KB / 431 B) :

(σ¯̂1)αβ=(0110)(σ¯̂2)αβ=(0ii0)(σ¯̂3)αβ=(1001)
<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"><msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msub><mover><mover><mi>σ</mi><mo>¯</mo></mover><mo stretchy="false">̂</mo></mover><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>α</mi><mi>β</mi></mrow></mrow></msub><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"><msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msub><mover><mover><mi>σ</mi><mo>¯</mo></mover><mo stretchy="false">̂</mo></mover><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>α</mi><mi>β</mi></mrow></mrow></msub><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"><msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msub><mover><mover><mi>σ</mi><mo>¯</mo></mover><mo stretchy="false">̂</mo></mover><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msub><mo data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>α</mi><mi>β</mi></mrow></mrow></msub><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></mtr></mtable></mstyle></mrow></math>

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Calculated based on the variables occurring on the entire Spin- Operatoren und Zustände page

Identifiers

  • σ¯̂1αβ
  • σ¯̂2αβ
  • i
  • i
  • σ¯̂3αβ

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