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Display information for equation id:math.1693.20 on revision:1693
* Page found: Spin- Operatoren und Zustände (eq math.1693.20)
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Hash: c5c37129954ec6ab0ac83813e7d3a415
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\begin{align}
& {{{\hat{\bar{S}}}}^{2}}\left| \uparrow \right\rangle ={{\hbar }^{2}}s(s+1)\left| \uparrow \right\rangle \Rightarrow s=\frac{1}{2}\Rightarrow {{{\hat{\bar{\sigma }}}}^{2}}\left| \uparrow \right\rangle =3\left| \uparrow \right\rangle \\
& {{{\hat{\bar{S}}}}^{2}}\left| \downarrow \right\rangle ={{\hbar }^{2}}s(s+1)\left| \downarrow \right\rangle \Rightarrow s=\frac{1}{2}\Rightarrow {{{\hat{\bar{\sigma }}}}^{2}}\left| \downarrow \right\rangle =3\left| \downarrow \right\rangle \\
\end{align}
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