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Display information for equation id:math.1649.42 on revision:1649

* Page found: Dynamik im Schrödinger- Heisenberg- und Wechselwirkungsbild (eq math.1649.42)

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Dynamik im Schrödinger- Heisenberg- und Wechselwirkungsbild Eq: math.1649.42

Hash: 3b1f0792aafc4b499bd20e9705c3e2b7

TeX (original user input):

\begin{align}
& \left\langle {{{\hat{F}}}_{S}} \right\rangle ={{\left\langle  \Psi  \right|}_{t}}{{{\hat{F}}}_{S}}{{\left| \Psi  \right\rangle }_{t}}={{\left\langle  \Psi  \right|}_{0}}{{U}^{+}}(t,0){{{\hat{F}}}_{S}}U(t,0){{\left| \Psi  \right\rangle }_{0}} \\
& {{U}^{+}}(t,0){{{\hat{F}}}_{S}}U(t,0)={{{\hat{F}}}_{H}}(t) \\
\end{align}

TeX (checked):

{\begin{aligned}&\left\langle {{\hat {F}}_{S}}\right\rangle ={{\left\langle \Psi \right|}_{t}}{{\hat {F}}_{S}}{{\left|\Psi \right\rangle }_{t}}={{\left\langle \Psi \right|}_{0}}{{U}^{+}}(t,0){{\hat {F}}_{S}}U(t,0){{\left|\Psi \right\rangle }_{0}}\\&{{U}^{+}}(t,0){{\hat {F}}_{S}}U(t,0)={{\hat {F}}_{H}}(t)\\\end{aligned}}

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MathML (2.841 KB / 455 B) :

\begin{aligned} ⟨ {\hat{F}}_{S} ⟩ = {⟨ Ψ |}_{t} {\hat{F}}_{S} {| Ψ ⟩}_{t} = {⟨ Ψ |}_{0} U^{+} (t, 0) {\hat{F}}_{S} U (t, 0) {| Ψ ⟩}_{0} \\ U^{+} (t, 0) {\hat{F}}_{S} U (t, 0) = {\hat{F}}_{H} (t) \end{aligned}

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Identifiers

${\hat{F}}_{S}$

$Ψ_{t}$

${\hat{F}}_{S}$

$Ψ_{t}$

$Ψ_{0}$

$U$

$t$

${\hat{F}}_{S}$

$U$

$t$

$Ψ_{0}$

$U$

$t$

${\hat{F}}_{S}$

$U$

$t$

${\hat{F}}_{H}$

$t$

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