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Rosa added section_We_start_by_applying__.tex
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\section
We start by applying the \textbf{P(E)-Theory} to the case of a quantum dot which is unequally coupled to a resistive enviroment. For such calculation we utilize the following expression
\begin{equation}
\Gamma_{i\rightarrow j}^{l}= 2\pi \int |t_{l}|^2 \rho(\epsilon_i-\mu_i) \bar\rho(\epsilon_j-\mu_j)P_{l}(\epsilon_i-\epsilon_j)d\epsilon_i d\epsilon_j\,
\end{equation}
Let us consider a processes in which we fill up a quantum dot with one electron. In this case we need to compute $\Gamma_{0\right 1}^{1}$. We denote the leads with labels $l=\{1,2\}$ for left and right contacts. The dot occupation in this case change from $n=0$ to $n=1$. Therefore $\rho(\epsilon_i-\epsilon_j)$
