this is for holding javascript data
Rosa edited untitled.tex
about 8 years ago
Commit id: 317a49c6197c8fc5aedbcd87f63895cfd2b9e25f
deletions | additions
diff --git a/untitled.tex b/untitled.tex
index 7c99d1e..e268968 100644
--- a/untitled.tex
+++ b/untitled.tex
...
\end{align*}
Now we collect $P^{>,2}(\omega)+P^{>,4}(\omega)$
\begin{eqnarray}
\begin{align*}
&P^{>,2}(\omega)+ &&P^{>,2}(\omega)+ S^{>,4}(\omega) = -i\frac{4e^2}{\hbar^2} \int_{-\infty}^\infty \frac{d\epsilon}{2\pi} \sum_{\beta\gamma\alpha\delta} G^r_{\beta \alpha}(\epsilon) \Gamma_{\alpha\delta}(\epsilon) G^a_{\delta \gamma}(\epsilon)\Gamma_{\gamma\tau} \\ \nonumber
& && [G^{r}_{\tau\theta}(\omega+\epsilon)-G^{a}_{\tau\theta}(\omega+\epsilon)] \Gamma_{\theta\beta}[(1-f_{e}(\epsilon))f_{h}(\epsilon+\omega)+(1-f_{h}(\epsilon)) f_{h}(\epsilon+\omega)]
\end{align*}
\end{eqnarray}
Now we replace $[G^{r}_{\gamma\tau}(\omega+\epsilon)-G^{a}_{\gamma\beta}(\omega+\epsilon)]= -4iG^r_{\gamma\nu}\Gamma_{\nu\mu}(\omega+\epsilon)G^{a}_{\mu\beta}(\omega+\epsilon)$, then
\begin{eqnarray}