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Display information for equation id:math.1715.83 on revision:1715
* Page found: Identische Teilchen: Spin und Statistik (eq math.1715.83)
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Hash: 21c6ebaabed1866d7985e2ac2acf2784
TeX (original user input):
\begin{align}
& {{\left| {{\Psi }_{ab}}\left( {{{\bar{r}}}_{1}},{{{\bar{r}}}_{2}} \right) \right|}^{2}}={{\left| \left\langle {{{\bar{r}}}_{1}}{{{\bar{r}}}_{2}} \right|\left| ab \right\rangle s,a \right|}^{2}}=\frac{1}{2}{{\left| _{1}\left\langle {{{\bar{r}}}_{1}} \right|{{\left| a \right\rangle }_{1}}_{2}\left\langle {{{\bar{r}}}_{2}} \right|{{\left| b \right\rangle }_{2}}{{\pm }_{1}}\left\langle {{{\bar{r}}}_{1}} \right|{{\left| a \right\rangle }_{1}}_{2}\left\langle {{{\bar{r}}}_{2}} \right|{{\left| b \right\rangle }_{2}} \right|}^{2}} \\
& =\frac{1}{2}{{\left| {{\Psi }_{a}}\left( {{{\bar{r}}}_{1}} \right){{\Psi }_{b}}\left( {{{\bar{r}}}_{2}} \right)\pm {{\Psi }_{b}}\left( {{{\bar{r}}}_{1}} \right){{\Psi }_{a}}\left( {{{\bar{r}}}_{2}} \right) \right|}^{2}} \\
\end{align}
TeX (checked):
{\begin{aligned}&{{\left|{{\Psi }_{ab}}\left({{\bar {r}}_{1}},{{\bar {r}}_{2}}\right)\right|}^{2}}={{\left|\left\langle {{\bar {r}}_{1}}{{\bar {r}}_{2}}\right|\left|ab\right\rangle s,a\right|}^{2}}={\frac {1}{2}}{{\left|_{1}\left\langle {{\bar {r}}_{1}}\right|{{\left|a\right\rangle }_{1}}_{2}\left\langle {{\bar {r}}_{2}}\right|{{\left|b\right\rangle }_{2}}{{\pm }_{1}}\left\langle {{\bar {r}}_{1}}\right|{{\left|a\right\rangle }_{1}}_{2}\left\langle {{\bar {r}}_{2}}\right|{{\left|b\right\rangle }_{2}}\right|}^{2}}\\&={\frac {1}{2}}{{\left|{{\Psi }_{a}}\left({{\bar {r}}_{1}}\right){{\Psi }_{b}}\left({{\bar {r}}_{2}}\right)\pm {{\Psi }_{b}}\left({{\bar {r}}_{1}}\right){{\Psi }_{a}}\left({{\bar {r}}_{2}}\right)\right|}^{2}}\\\end{aligned}}
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<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><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><msub><mi mathvariant="normal">Ψ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>a</mi><mi>b</mi></mrow></mrow></msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>r</mi><mo>¯</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo>,</mo><msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>r</mi><mo>¯</mo></mover></mrow></mrow><mrow 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