deletions | additions       diff --git a/2QEnergies.tex b/2QEnergies.tex  index 8e7d2f9..8b8c591 100644  --- a/2QEnergies.tex  +++ b/2QEnergies.tex 
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H_{2q}=\hbar\omega_0 D^{\dagger}(\omega^{-1}_0 \hat{\gamma}^{\dagger})\adag a D(\omega^{-1}_0 \hat{\gamma}) + \hbar \frac{\omega_1}{2}\sigma^{(1)}_z + \hbar \frac{\omega_2}{2}\sigma^{(2)}_z - 2\hbar\frac{\Gamma_1\Gamma_2}{\omega^2}\sigma^{(1)}_x\otimes\sigma^{(2)}_x  \end{equation}  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})  \end{split}  \end{equation}  Calculate now the matrix's elements in order to find later the eigene energies of the system.