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Display information for equation id:math.1817.35 on revision:1817

* Page found: Der nichtrelativistische Grenzfall (eq math.1817.35)

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Hash: be20706a97f38e025545f966775aa06a

TeX (original user input):

\begin{align}

& \tilde{\sigma }=\left( \begin{matrix}

{\bar{\sigma }} & 0  \\

0 & {\bar{\sigma }}  \\

\end{matrix} \right) \\

& \tilde{\sigma }\Psi =\left( \begin{matrix}

{\bar{\sigma }} & 0  \\

0 & {\bar{\sigma }}  \\

\end{matrix} \right)\left( \begin{matrix}

{{\Psi }_{a}}  \\

{{\Psi }_{b}}  \\

\end{matrix} \right)=\left( \begin{matrix}

\bar{\sigma }{{\Psi }_{a}}  \\

\bar{\sigma }{{\Psi }_{b}}  \\

\end{matrix} \right) \\

\end{align}

TeX (checked):

{\begin{aligned}&{\tilde {\sigma }}=\left({\begin{matrix}{\bar {\sigma }}&0\\0&{\bar {\sigma }}\\\end{matrix}}\right)\\&{\tilde {\sigma }}\Psi =\left({\begin{matrix}{\bar {\sigma }}&0\\0&{\bar {\sigma }}\\\end{matrix}}\right)\left({\begin{matrix}{{\Psi }_{a}}\\{{\Psi }_{b}}\\\end{matrix}}\right)=\left({\begin{matrix}{\bar {\sigma }}{{\Psi }_{a}}\\{\bar {\sigma }}{{\Psi }_{b}}\\\end{matrix}}\right)\\\end{aligned}}

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MathML (2.965 KB / 414 B) :

σ~=(σ¯00σ¯)σ~Ψ=(σ¯00σ¯)(ΨaΨb)=(σ¯Ψaσ¯Ψb)
<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="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>&#x03C3;</mi><mo>~</mo></mover></mrow></mrow><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><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>&#x03C3;</mi><mo>¯</mo></mover></mrow></mrow></mtd><mtd><mn>0</mn></mtd></mtr><mtr><mtd><mn>0</mn></mtd><mtd><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>&#x03C3;</mi><mo>¯</mo></mover></mrow></mrow></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow></mtd></mtr><mtr><mtd></mtd><mtd><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>&#x03C3;</mi><mo>~</mo></mover></mrow></mrow><mi mathvariant="normal">&#x03A8;</mi><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><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>&#x03C3;</mi><mo>¯</mo></mover></mrow></mrow></mtd><mtd><mn>0</mn></mtd></mtr><mtr><mtd><mn>0</mn></mtd><mtd><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>&#x03C3;</mi><mo>¯</mo></mover></mrow></mrow></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mtable columnspacing="1em" rowspacing="4pt"><mtr><mtd><msub><mi mathvariant="normal">&#x03A8;</mi><mrow data-mjx-texclass="ORD"><mi>a</mi></mrow></msub></mtd></mtr><mtr><mtd><msub><mi mathvariant="normal">&#x03A8;</mi><mrow data-mjx-texclass="ORD"><mi>b</mi></mrow></msub></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><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><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>&#x03C3;</mi><mo>¯</mo></mover></mrow></mrow><msub><mi mathvariant="normal">&#x03A8;</mi><mrow data-mjx-texclass="ORD"><mi>a</mi></mrow></msub></mtd></mtr><mtr><mtd><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>&#x03C3;</mi><mo>¯</mo></mover></mrow></mrow><msub><mi mathvariant="normal">&#x03A8;</mi><mrow data-mjx-texclass="ORD"><mi>b</mi></mrow></msub></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow></mstyle></mrow></math>

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Calculated based on the variables occurring on the entire Der nichtrelativistische Grenzfall page

Identifiers

  • σ~
  • σ¯
  • σ¯
  • σ~
  • Ψ
  • σ¯
  • σ¯
  • Ψa
  • Ψb
  • σ¯
  • Ψa
  • σ¯
  • Ψb

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