deletions | additions       diff --git a/untitled.tex b/untitled.tex  index adc8026..cc6246a 100644  --- a/untitled.tex  +++ b/untitled.tex 
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\end{eqnarray}  \begin{eqnarray}  S^{>,4}(\omega) = \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} G^a_{\delta \gamma}(\epsilon) \Gamma_{\gamma\gamma} G^{a}_{\gamma\beta}(\omega+\epsilon) [i\Gamma_{\beta\beta}][(1-f_{e}(\epsilon))+(1-f_{h}(\epsilon))] f_{h}(\epsilon+\omega)  \end{eqnarray}  Now we collect $S^{>,2}(\omega)+S^{>,4}(\omega)$  \begin{eqnarray}  S^{>,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\gamma} [G^{r}_{\gamma\beta}(\omega+\epsilon)+G^{a}_{\gamma\beta}(\omega+\epsilon)] \Gamma_{\beta\beta}[(1-f_{e}(\epsilon))f_{h}(\epsilon+\omega)+(1-f_{h}(\epsilon)) f_{h}(\epsilon+\omega)]  \end{eqnarray}