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Display information for equation id:math.1007.27 on revision:1007

* Page found: Master Gleichung (eq math.1007.27)

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Master Gleichung Eq: math.1008.27

Hash: 19e7d4fecfc6710262bf418deee9e650

TeX (original user input):

\begin{align}
  & {{d}_{t}}\tilde{\rho }=-\mathfrak{i}\left[ {{{\tilde{H}}}_{I}},{{\rho }_{0}}-\mathfrak{i}\int_{0}^{t}{[{{{\tilde{H}}}_{I}},\tilde{\rho }]}\,d{t}' \right] \\
 & =-\mathfrak{i}\left[ {{{\tilde{H}}}_{I}},{{\rho }_{0}} \right]-\left[ {{{\tilde{H}}}_{I}},\int_{0}^{t}{[{{{\tilde{H}}}_{I}},\tilde{\rho }]}\,d{t}' \right] \\
 & =-\mathfrak{i}\left[ {{{\tilde{H}}}_{I}},{{\rho }_{0}} \right]-\int_{0}^{t}{\left[ {{{\tilde{H}}}_{I}},\left[ {{{\tilde{H}}}_{I}},\,\tilde{\rho } \right] \right]}d{t}'
\end{align}

TeX (checked):

{\begin{aligned}&{{d}_{t}}{\tilde {\rho }}=-{\mathfrak {i}}\left[{{\tilde {H}}_{I}},{{\rho }_{0}}-{\mathfrak {i}}\int _{0}^{t}{[{{\tilde {H}}_{I}},{\tilde {\rho }}]}\,d{t}'\right]\\&=-{\mathfrak {i}}\left[{{\tilde {H}}_{I}},{{\rho }_{0}}\right]-\left[{{\tilde {H}}_{I}},\int _{0}^{t}{[{{\tilde {H}}_{I}},{\tilde {\rho }}]}\,d{t}'\right]\\&=-{\mathfrak {i}}\left[{{\tilde {H}}_{I}},{{\rho }_{0}}\right]-\int _{0}^{t}{\left[{{\tilde {H}}_{I}},\left[{{\tilde {H}}_{I}},\,{\tilde {\rho }}\right]\right]}d{t}'\end{aligned}}

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\begin{aligned} d_{t} \tilde{ρ} = - i [{\tilde{H}}_{I}, ρ_{0} - i \int_{0}^{t} [{\tilde{H}}_{I}, \tilde{ρ}] d {t^{'}}^{'}] \\ = - i [{\tilde{H}}_{I}, ρ_{0}] - [{\tilde{H}}_{I}, \int_{0}^{t} [{\tilde{H}}_{I}, \tilde{ρ}] d {t^{'}}^{'}] \\ = - i [{\tilde{H}}_{I}, ρ_{0}] - \int_{0}^{t} [{\tilde{H}}_{I}, [{\tilde{H}}_{I}, \tilde{ρ}]] d {t^{'}}^{'} \end{aligned}

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Identifiers

$d_{t}$

$\tilde{ρ}$

$i$

${\tilde{H}}_{I}$

$ρ_{0}$

$i$

$t$

${\tilde{H}}_{I}$

$\tilde{ρ}$

$t^{'}$

$i$

${\tilde{H}}_{I}$

$ρ_{0}$

${\tilde{H}}_{I}$

$t$

${\tilde{H}}_{I}$

$\tilde{ρ}$

$t^{'}$

$i$

${\tilde{H}}_{I}$

$ρ_{0}$

$t$

${\tilde{H}}_{I}$

${\tilde{H}}_{I}$

$\tilde{ρ}$

$t$

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