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Display information for equation id:math.1732.31 on revision:1732
* Page found: Zeitabhängige Störungsrechnung (eq math.1732.31)
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Hash: e7031b3ac773008cc9b014491cabe4fc
TeX (original user input):
\begin{align}
& i\hbar \frac{d}{dt}\left( {{g}_{m}}^{(0)}(t)+\varepsilon {{g}_{m}}^{(1)}(t)+{{\varepsilon }^{2}}{{g}_{m}}^{(2)}(t)+... \right) \\
& =\sum\limits_{n}{{}}{{e}^{\left( i\frac{\left( {{E}_{m}}-{{E}_{n}} \right)t}{\hbar } \right)}}\left\langle m \right|{{{\hat{H}}}^{1}}(t)\left| n \right\rangle \left( {{g}_{n}}^{(0)}(t)+\varepsilon {{g}_{n}}^{(1)}(t)+{{\varepsilon }^{2}}{{g}_{n}}^{(2)}(t)+... \right) \\
\end{align}
TeX (checked):
{\begin{aligned}&i\hbar {\frac {d}{dt}}\left({{g}_{m}}^{(0)}(t)+\varepsilon {{g}_{m}}^{(1)}(t)+{{\varepsilon }^{2}}{{g}_{m}}^{(2)}(t)+...\right)\\&=\sum \limits _{n}{}{{e}^{\left(i{\frac {\left({{E}_{m}}-{{E}_{n}}\right)t}{\hbar }}\right)}}\left\langle m\right|{{\hat {H}}^{1}}(t)\left|n\right\rangle \left({{g}_{n}}^{(0)}(t)+\varepsilon {{g}_{n}}^{(1)}(t)+{{\varepsilon }^{2}}{{g}_{n}}^{(2)}(t)+...\right)\\\end{aligned}}
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