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Display information for equation id:math.1821.40 on revision:1821
* Page found: Der nichtrelativistische Grenzfall (eq math.1821.40)
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Hash: 6849a06864bd32d510b57b0fcc50aebd
TeX (original user input):
\begin{align}
& \bar{J}:=\bar{L}+\frac{\hbar }{2}\tilde{\bar{\sigma }}=\bar{r}\times \bar{p}\left( \begin{matrix}
1 & 0 \\
0 & 1 \\
\end{matrix} \right)+\frac{\hbar }{2}\tilde{\bar{\sigma }} \\
& \bar{r}\times \bar{p}\left( \begin{matrix}
1 & 0 \\
0 & 1 \\
\end{matrix} \right)=\bar{r}\times \bar{p}\left( \begin{matrix}
1 & {} & {} & {} \\
{} & 1 & {} & {} \\
{} & {} & 1 & {} \\
{} & {} & {} & 1 \\
\end{matrix} \right) \\
\end{align}
TeX (checked):
{\begin{aligned}&{\bar {J}}:={\bar {L}}+{\frac {\hbar }{2}}{\tilde {\bar {\sigma }}}={\bar {r}}\times {\bar {p}}\left({\begin{matrix}1&0\\0&1\\\end{matrix}}\right)+{\frac {\hbar }{2}}{\tilde {\bar {\sigma }}}\\&{\bar {r}}\times {\bar {p}}\left({\begin{matrix}1&0\\0&1\\\end{matrix}}\right)={\bar {r}}\times {\bar {p}}\left({\begin{matrix}1&{}&{}&{}\\{}&1&{}&{}\\{}&{}&1&{}\\{}&{}&{}&1\\\end{matrix}}\right)\\\end{aligned}}
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<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"><mover><mi>J</mi><mo>¯</mo></mover><mo stretchy="false">:=</mo><mover><mi>L</mi><mo>¯</mo></mover><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi alternate="1">ℏ</mi></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></mfrac></mrow><mover><mover><mi>σ</mi><mo>¯</mo></mover><mo>~</mo></mover><mo stretchy="false">=</mo><mover><mi>r</mi><mo>¯</mo></mover><mo stretchy="false">×</mo><mover><mi>p</mi><mo>¯</mo></mover><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><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><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi alternate="1">ℏ</mi></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></mfrac></mrow><mover><mover><mi>σ</mi><mo>¯</mo></mover><mo>~</mo></mover></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><mover><mi>r</mi><mo>¯</mo></mover><mo stretchy="false">×</mo><mover><mi>p</mi><mo>¯</mo></mover><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><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><mo stretchy="false">=</mo><mover><mi>r</mi><mo>¯</mo></mover><mo stretchy="false">×</mo><mover><mi>p</mi><mo>¯</mo></mover><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></mtd><mtd></mtd><mtd></mtd></mtr><mtr><mtd></mtd><mtd><mn>1</mn></mtd><mtd></mtd><mtd></mtd></mtr><mtr><mtd></mtd><mtd></mtd><mtd><mn>1</mn></mtd><mtd></mtd></mtr><mtr><mtd></mtd><mtd></mtd><mtd></mtd><mtd><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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