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\end{equation}  Then, the ac spectral noise becomes  \begin{eqnarray}  &&S>(\omega)=\frac{e^2}{\hbar^2}\sum_{k\beta,q\gamma} V_{\beta k} V_{\gamma q}^{*}\int_{\infty}^\infty q}^{*}\frac{1}{2\pi}\int_{-\infty}^\infty  d\omega e^{-i\omega (t-t')} \int \frac{1}{2\pi}\int_{-\infty}^\infty  d\epsilon_1 e^{-i\epsilon (t-t')} \int \frac{1}{2\pi}\int_{-\infty}^\infty  d\epsilon_2 e^{i\epsilon (t-t')}\Biggr\{ [G^t_{\beta\gamma}(\epsilon_1) G^{h,t}_{qk}(\epsilon_2) - G^{t}_{\beta q}(\epsilon_1)G^{h,t}_{\gamma k}(\epsilon_2]\\ k}(\epsilon_2)]\\  \nonumber && + V_{\beta k}^{*}V_{\gamma q} [G^{h,t}_{kq}(\epsilon_1) G{t}_{\gamma\beta}(\epsilon_2) - G^{h,t}_{k\gamma}(\epsilon_1)G^{t}_{q \beta}(\epsilon_2)]\Biggr\}\,,  \end{eqnarray}