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Display information for equation id:math.1636.51 on revision:1636

* Page found: Die Quantisierung (eq math.1636.51)

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Hash: 9fcaaaf17b8fdfa6eaa354f0afd24ce2

TeX (original user input):

\begin{align}
& f(\lambda ):=\left\langle \left( \Delta \hat{F}+i\lambda \Delta \hat{G} \right)\left( \Delta \hat{F}-i\lambda \Delta \hat{G} \right) \right\rangle  \\
& =\left\langle {{\left( \Delta \hat{F} \right)}^{2}} \right\rangle -i\lambda \left\langle \left[ \Delta \hat{F},\Delta \hat{G} \right] \right\rangle +{{\lambda }^{2}}\left\langle {{\left( \Delta \hat{G} \right)}^{2}} \right\rangle  \\
& \left\langle {{\left( \Delta \hat{F} \right)}^{2}} \right\rangle :=\alpha \ge 0 \\
& \left\langle \left[ \Delta \hat{F},\Delta \hat{G} \right] \right\rangle :=\beta  \\
& \left\langle {{\left( \Delta \hat{G} \right)}^{2}} \right\rangle :=\gamma \ge 0 \\
\end{align}

TeX (checked):

{\begin{aligned}&f(\lambda ):=\left\langle \left(\Delta {\hat {F}}+i\lambda \Delta {\hat {G}}\right)\left(\Delta {\hat {F}}-i\lambda \Delta {\hat {G}}\right)\right\rangle \\&=\left\langle {{\left(\Delta {\hat {F}}\right)}^{2}}\right\rangle -i\lambda \left\langle \left[\Delta {\hat {F}},\Delta {\hat {G}}\right]\right\rangle +{{\lambda }^{2}}\left\langle {{\left(\Delta {\hat {G}}\right)}^{2}}\right\rangle \\&\left\langle {{\left(\Delta {\hat {F}}\right)}^{2}}\right\rangle :=\alpha \geq 0\\&\left\langle \left[\Delta {\hat {F}},\Delta {\hat {G}}\right]\right\rangle :=\beta \\&\left\langle {{\left(\Delta {\hat {G}}\right)}^{2}}\right\rangle :=\gamma \geq 0\\\end{aligned}}

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\begin{aligned} f (λ) : = ⟨ (Δ \hat{F} + i λ Δ \hat{G}) (Δ \hat{F} - i λ Δ \hat{G}) ⟩ \\ = ⟨ {(Δ \hat{F})}^{2} ⟩ - i λ ⟨ [Δ \hat{F}, Δ \hat{G}] ⟩ + λ^{2} ⟨ {(Δ \hat{G})}^{2} ⟩ \\ ⟨ {(Δ \hat{F})}^{2} ⟩ : = α \geq 0 \\ ⟨ [Δ \hat{F}, Δ \hat{G}] ⟩ : = β \\ ⟨ {(Δ \hat{G})}^{2} ⟩ : = γ \geq 0 \end{aligned}

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Identifiers

$f$

$λ$

$Δ$

$\hat{F}$

$i$

$λ$

$Δ$

$\hat{G}$

$Δ$

$\hat{F}$

$i$

$λ$

$Δ$

$\hat{G}$

$Δ$

$\hat{F}$

$i$

$λ$

$Δ$

$\hat{F}$

$Δ$

$\hat{G}$

$λ$

$Δ$

$\hat{G}$

$Δ$

$\hat{F}$

$α$

$Δ$

$\hat{F}$

$Δ$

$\hat{G}$

$β$

$Δ$

$\hat{G}$

$γ$

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