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Display information for equation id:math.1639.39 on revision:1639

* Page found: Die Quantisierung (eq math.1639.39)

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Die Quantisierung Eq: math.1639.39

Hash: a183e9a2afc0089fe9f1985af75e3042

TeX (original user input):

\begin{align}

& \left\langle  \Psi  \right|\hat{F}\left| \Psi  \right\rangle =\sum\limits_{n,n\acute{\ }}^{{}}{\left\langle  \Psi   |  n \right\rangle \left\langle  n \right|\hat{F}\left| n\acute{\ } \right\rangle \left\langle  n\acute{\ }  |  \Psi  \right\rangle } \\

& \left\langle  n \right|\hat{F}\left| n\acute{\ } \right\rangle ={{F}_{n}}{{\delta }_{nn\acute{\ }}} \\

& \Rightarrow \left\langle  \Psi  \right|\hat{F}\left| \Psi  \right\rangle =\sum\limits_{n}^{{}}{{{F}_{n}}{{\left| \left\langle  n | \Psi  \right\rangle  \right|}^{2}}} \\
\end{align}

TeX (checked):

{\begin{aligned}&\left\langle \Psi \right|{\hat {F}}\left|\Psi \right\rangle =\sum \limits _{n,n{\acute {\ }}}^{}{\left\langle \Psi |n\right\rangle \left\langle n\right|{\hat {F}}\left|n{\acute {\ }}\right\rangle \left\langle n{\acute {\ }}|\Psi \right\rangle }\\&\left\langle n\right|{\hat {F}}\left|n{\acute {\ }}\right\rangle ={{F}_{n}}{{\delta }_{nn{\acute {\ }}}}\\&\Rightarrow \left\langle \Psi \right|{\hat {F}}\left|\Psi \right\rangle =\sum \limits _{n}^{}{{{F}_{n}}{{\left|\left\langle n|\Psi \right\rangle \right|}^{2}}}\\\end{aligned}}

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MathML (4.212 KB / 545 B) :

\begin{aligned} ⟨ Ψ | \hat{F} | Ψ ⟩ = \sum_{n, n \overset{´}{}}^{} ⟨ Ψ | n ⟩ ⟨ n | \hat{F} | n \overset{´}{} ⟩ ⟨ n \overset{´}{} | Ψ ⟩ \\ ⟨ n | \hat{F} | n \overset{´}{} ⟩ = F_{n} δ_{n n \overset{´}{}} \\ \Rightarrow ⟨ Ψ | \hat{F} | Ψ ⟩ = \sum_{n}^{} F_{n} {| ⟨ n | Ψ ⟩ |}^{2} \end{aligned}

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Identifiers

$Ψ$

$\hat{F}$

$Ψ$

$n$

$n$

$\overset{´}{}$

$Ψ$

$n$

$n$

$\hat{F}$

$n$

$\overset{´}{}$

$n$

$\overset{´}{}$

$Ψ$

$n$

$\hat{F}$

$n$

$\overset{´}{}$

$F_{n}$

$δ$

$n$

$n$

$\overset{´}{}$

$Ψ$

$\hat{F}$

$Ψ$

$n$

$F_{n}$

$n$

$Ψ$

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