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Calculate now the matrix's elements in order to find later the eigene energies of the system. To do that it is usefull to calculate the matrix's elements
\begin{equation}
\begin{split}
&=\Epsilon_N\delta_{sn}\delta_{tm}\\
&=\Epsilon_1(1-\delta_{sn})\delta_{tm}+\Epsilon_2\delta_{sn}(1-\delta_{tm}) &=\epsilon_N\delta_{sn}\delta_{tm}\\
&=\epsilon_1(1-\delta_{sn})\delta_{tm}+\epsilon_2\delta_{sn}(1-\delta_{tm})
\end{split}
\end{equation}