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\end{eqnarray}  \begin{eqnarray}  &&N(\omega)=(e^2/h)\sum_{k\beta,q\gamma, \nu\mu} \int \frac{d\epsilon}{2\pi} V_{\beta k} [G_{\beta\nu}^r(\omega+\epsilon) V_{\nu q} g^{>}_{q}(\omega+\epsilon)  V^*_{\gamma q} G_{\gamma\mu}^r(\omega) V^*_{\mu k} g^{<,h}_{k}(\omega) V_{\beta k}] \\  && \\ \nonumber  [G_{\beta\nu}^r(\omega+\epsilon) V_{\nu q} g^{>}_{q}(\omega+\epsilon) V^*_{\gamma q} G_{\gamma\mu}^<(\omega) V^*_{\mu k} g^{a,h}_{k}(\omega) V_{\beta k}]\\  && \\ \nonumber  [G_{\beta\nu}^>(\omega+\epsilon) V_{\nu q} g^{a}_{q}(\omega+\epsilon) V^*_{\gamma q}  G_{\gamma\mu}^r(\omega) V^*_{\mu k} g^{<,h}_{k}(\omega) V_{\beta k}]\\  && \\ \nonumber  [G_{\beta\nu}^>(\omega+\epsilon) V_{\nu q} g^{a}_{q}(\omega+\epsilon) V^*_{\gamma q} G_{\gamma\mu}^<(\omega) V^*_{\mu k} g^{a,h}_{k}(\omega) V_{\beta  k}] \end{eqnarray}