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Display information for equation id:math.1737.14 on revision:1737

* Page found: Induzierte Emission und Absorption von Lichtquanten in Atomen (eq math.1737.14)

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Induzierte Emission und Absorption von Lichtquanten in Atomen Eq: math.1737.14

Hash: 26063462d823bd17014645b7ddc05af6

TeX (original user input):

\begin{align}
& \bar{E}(\bar{r},t)=\int_{0}^{\infty }{d\omega }{{{\bar{E}}}_{0}}(\omega )\sin \left( \bar{k}\bar{r}-\omega t \right) \\
& \Rightarrow {{W}_{nn0}}=\frac{\pi }{2{{\hbar }^{2}}}\int_{0}^{\infty }{d\left( \hbar \omega  \right)}{{\left( {{{\bar{E}}}_{0}}\left( \omega  \right)\cdot {{{\bar{d}}}_{nn0}} \right)}^{2}}\left\{ \delta ({{E}_{n}}-{{E}_{n0}}-\hbar \omega )+\delta ({{E}_{n}}-{{E}_{n0}}+\hbar \omega ) \right\} \\
\end{align}

TeX (checked):

{\begin{aligned}&{\bar {E}}({\bar {r}},t)=\int _{0}^{\infty }{d\omega }{{\bar {E}}_{0}}(\omega )\sin \left({\bar {k}}{\bar {r}}-\omega t\right)\\&\Rightarrow {{W}_{nn0}}={\frac {\pi }{2{{\hbar }^{2}}}}\int _{0}^{\infty }{d\left(\hbar \omega \right)}{{\left({{\bar {E}}_{0}}\left(\omega \right)\cdot {{\bar {d}}_{nn0}}\right)}^{2}}\left\{\delta ({{E}_{n}}-{{E}_{n0}}-\hbar \omega )+\delta ({{E}_{n}}-{{E}_{n0}}+\hbar \omega )\right\}\\\end{aligned}}

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MathML (4.047 KB / 641 B) :

\begin{aligned} \bar{E} (\bar{r}, t) = \int_{0}^{\infty} d ω {\bar{E}}_{0} (ω) \sin (\bar{k} \bar{r} - ω t) \\ \Rightarrow W_{n n 0} = \frac{π}{2 ℏ^{2}} \int_{0}^{\infty} d (ℏ ω) {({\bar{E}}_{0} (ω) \cdot {\bar{d}}_{n n 0})}^{2} {δ (E_{n} - E_{n 0} - ℏ ω) + δ (E_{n} - E_{n 0} + ℏ ω)} \end{aligned}

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Identifiers

$\bar{E}$

$\bar{r}$

$t$

$ω$

${\bar{E}}_{0}$

$ω$

$\bar{k}$

$\bar{r}$

$ω$

$t$

$W_{n n 0}$

$π$

$ω$

${\bar{E}}_{0}$

$ω$

${\bar{d}}_{n n 0}$

$δ$

$E_{n}$

$E_{n 0}$

$ω$

$δ$

$E_{n}$

$E_{n 0}$

$ω$

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