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\end{eqnarray}  Now we explicitely write down the expressions for the self-energies  \begin{equation}  \Sigma^>_{0,\alpha\delta}(\epsilon) = \Sigma^{>,e}_{0,\alpha\delta}(\epsilon)+\Sigma^{>,h}_{0,\alpha\delta}(\epsilon) \Sigma^{<,e}_{0,\alpha\delta}(\epsilon)+\Sigma^{<,h}_{0,\alpha\delta}(\epsilon)  \end{equation}  with   \begin{equation}  \Sigma^{>,e}_{0,\alpha\delta}(\epsilon) \Sigma^{<,e}_{0,\alpha\delta}(\epsilon)  = 2 i f(\epsilon-\mu_N)\Gamma_{\alpha\delta}(\epsilon) \end{equation}  and  \begin{equation}  \Sigma^{>,h}_{0,\alpha\delta}(\epsilon) \Sigma^{<,h}_{0,\alpha\delta}(\epsilon)  = 2 i f(\epsilon+\mu_N)\Gamma_{\alpha\delta}(-\epsilon) = 2i f_h(\epsilon)\Gamma_{\alpha\delta}(-\epsilon)  \end{equation}  On the other hand we have for the retarded and advanced self-energies  \begin{equation}