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Display information for equation id:math.1737.11 on revision:1737
* Page found: Induzierte Emission und Absorption von Lichtquanten in Atomen (eq math.1737.11)
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TeX (original user input):
\begin{align}
& -\frac{e}{m}\left\langle n \right|{{e}^{i\bar{k}\bar{r}}}{{{\bar{A}}}_{0}}\hat{\bar{p}}\left| {{n}_{0}} \right\rangle \cong -\frac{i}{\hbar }\frac{em}{2m}{{{\bar{A}}}_{0}}\left\langle n \right|{{{\hat{H}}}_{0}}\hat{\bar{r}}-\hat{\bar{r}}{{{\hat{H}}}_{0}}\left| {{n}_{0}} \right\rangle =-\frac{i}{2\hbar }({{E}_{n}}-{{E}_{n0}}){{{\bar{A}}}_{0}}e\left\langle n \right|\hat{\bar{r}}\left| {{n}_{0}} \right\rangle \\
& {{{\bar{A}}}_{0}}=-\frac{{{{\bar{E}}}_{0}}}{\omega } \\
& e\left\langle n \right|\hat{\bar{r}}\left| {{n}_{0}} \right\rangle :={{{\bar{d}}}_{nn0}} \\
\end{align}
TeX (checked):
{\begin{aligned}&-{\frac {e}{m}}\left\langle n\right|{{e}^{i{\bar {k}}{\bar {r}}}}{{\bar {A}}_{0}}{\hat {\bar {p}}}\left|{{n}_{0}}\right\rangle \cong -{\frac {i}{\hbar }}{\frac {em}{2m}}{{\bar {A}}_{0}}\left\langle n\right|{{\hat {H}}_{0}}{\hat {\bar {r}}}-{\hat {\bar {r}}}{{\hat {H}}_{0}}\left|{{n}_{0}}\right\rangle =-{\frac {i}{2\hbar }}({{E}_{n}}-{{E}_{n0}}){{\bar {A}}_{0}}e\left\langle n\right|{\hat {\bar {r}}}\left|{{n}_{0}}\right\rangle \\&{{\bar {A}}_{0}}=-{\frac {{\bar {E}}_{0}}{\omega }}\\&e\left\langle n\right|{\hat {\bar {r}}}\left|{{n}_{0}}\right\rangle :={{\bar {d}}_{nn0}}\\\end{aligned}}
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