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Display information for equation id:math.1691.12 on revision:1691
* Page found: Spin- Operatoren und Zustände (eq math.1691.12)
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Hash: 7cde09077a02d270f94dd28e0223f678
TeX (original user input):
\begin{align}
& {{{\hat{\bar{S}}}}_{3}}\left| \uparrow \right\rangle =\frac{\hbar }{2}\left| \uparrow \right\rangle \Rightarrow \hat{\bar{\sigma }}\left| \uparrow \right\rangle =\left| \uparrow \right\rangle \\
& {{{\hat{\bar{S}}}}_{3}}\left| \downarrow \right\rangle =-\frac{\hbar }{2}\left| \downarrow \right\rangle \Rightarrow \hat{\bar{\sigma }}\left| \downarrow \right\rangle =-\left| \downarrow \right\rangle \\
\end{align}
TeX (checked):
{\begin{aligned}&{{\hat {\bar {S}}}_{3}}\left|\uparrow \right\rangle ={\frac {\hbar }{2}}\left|\uparrow \right\rangle \Rightarrow {\hat {\bar {\sigma }}}\left|\uparrow \right\rangle =\left|\uparrow \right\rangle \\&{{\hat {\bar {S}}}_{3}}\left|\downarrow \right\rangle =-{\frac {\hbar }{2}}\left|\downarrow \right\rangle \Rightarrow {\hat {\bar {\sigma }}}\left|\downarrow \right\rangle =-\left|\downarrow \right\rangle \\\end{aligned}}
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