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Display information for equation id:math.1713.15 on revision:1713

* Page found: Addition von Drehimpulsen (eq math.1713.15)

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Hash: 7c52441f5f9e1912b2221fb7ad0eaf9f

TeX (original user input):

\begin{align}

& {{{\hat{J}}}^{2}}\left| j{{m}_{j}}ls \right\rangle ={{\hbar }^{2}}(j(j+1))\left| j{{m}_{j}}ls \right\rangle  \\

& {{{\hat{J}}}_{3}}\left| j{{m}_{j}}ls \right\rangle =\hbar {{m}_{j}}\left| j{{m}_{j}}ls \right\rangle  \\

& {{{\hat{L}}}^{2}}\left| j{{m}_{j}}ls \right\rangle ={{\hbar }^{2}}(l(l+1)\left| j{{m}_{j}}ls \right\rangle  \\

& {{{\hat{\bar{S}}}}^{2}}\left| j{{m}_{j}}ls \right\rangle ={{\hbar }^{2}}(s(s+1)\left| j{{m}_{j}}ls \right\rangle  \\

\end{align}

TeX (checked):

{\begin{aligned}&{{\hat {J}}^{2}}\left|j{{m}_{j}}ls\right\rangle ={{\hbar }^{2}}(j(j+1))\left|j{{m}_{j}}ls\right\rangle \\&{{\hat {J}}_{3}}\left|j{{m}_{j}}ls\right\rangle =\hbar {{m}_{j}}\left|j{{m}_{j}}ls\right\rangle \\&{{\hat {L}}^{2}}\left|j{{m}_{j}}ls\right\rangle ={{\hbar }^{2}}(l(l+1)\left|j{{m}_{j}}ls\right\rangle \\&{{\hat {\bar {S}}}^{2}}\left|j{{m}_{j}}ls\right\rangle ={{\hbar }^{2}}(s(s+1)\left|j{{m}_{j}}ls\right\rangle \\\end{aligned}}

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Ĵ2|jmjls=2(j(j+1))|jmjlsĴ3|jmjls=mj|jmjlsL̂2|jmjls=2(l(l+1)|jmjlsS¯̂2|jmjls=2(s(s+1)|jmjls
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