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Display information for equation id:math.1661.21 on revision:1661
* Page found: Der harmonische Oszillator (eq math.1661.21)
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Hash: 1094b635174ad16c903cb89a210851d0
TeX (original user input):
\begin{align}
& \hbar \omega \left\langle E \right|{{a}^{+}}a\left| E \right\rangle =\left\langle E \right|\hat{H}-\frac{\hbar \omega }{2}\left| E \right\rangle =\left\langle E \right|E-\frac{\hbar \omega }{2}\left| E \right\rangle =E-\frac{\hbar \omega }{2} \\
& \left\langle E \right|{{a}^{+}}a\left| E \right\rangle =\left\langle \Psi | \Psi \right\rangle \ge 0 \\
\end{align}
TeX (checked):
{\begin{aligned}&\hbar \omega \left\langle E\right|{{a}^{+}}a\left|E\right\rangle =\left\langle E\right|{\hat {H}}-{\frac {\hbar \omega }{2}}\left|E\right\rangle =\left\langle E\right|E-{\frac {\hbar \omega }{2}}\left|E\right\rangle =E-{\frac {\hbar \omega }{2}}\\&\left\langle E\right|{{a}^{+}}a\left|E\right\rangle =\left\langle \Psi |\Psi \right\rangle \geq 0\\\end{aligned}}
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