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Display information for equation id:math.1623.29 on revision:1623

* Page found: Operatoren im Hilbertraum (eq math.1623.29)

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TeX (original user input):

\begin{align}

& \left\langle  x | \Psi  \right\rangle =\Psi (x)=\sum\limits_{n=0}^{\infty }{{}}{{c}_{n}}{{\phi }_{n}}(x)=\sum\limits_{n=0}^{\infty }{{}}\left\langle  n | \Psi  \right\rangle \left\langle  x | n \right\rangle  \\

& \Rightarrow \sum\limits_{n=0}^{\infty }{{}}\left| n \right\rangle \left\langle  n \right|=1\  \\

\end{align}

TeX (checked):

{\begin{aligned}&\left\langle x|\Psi \right\rangle =\Psi (x)=\sum \limits _{n=0}^{\infty }{}{{c}_{n}}{{\phi }_{n}}(x)=\sum \limits _{n=0}^{\infty }{}\left\langle n|\Psi \right\rangle \left\langle x|n\right\rangle \\&\Rightarrow \sum \limits _{n=0}^{\infty }{}\left|n\right\rangle \left\langle n\right|=1\ \\\end{aligned}}

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x|Ψ=Ψ(x)=n=0cnϕn(x)=n=0n|Ψx|nn=0|nn|=1
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