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Display information for equation id:math.1733.11 on revision:1733

* Page found: Induzierte Emission und Absorption von Lichtquanten in Atomen (eq math.1733.11)

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\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}

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emn|eik¯r¯A¯0p¯^|n0iem2mA¯0n|H^0r¯^r¯^H^0|n0=i2(EnEn0)A¯0en|r¯^|n0A¯0=E¯0ωen|r¯^|n0:=d¯nn0
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