deletions | additions       diff --git a/Energies.tex b/Energies.tex  index d9cd654..6c3996c 100644  --- a/Energies.tex  +++ b/Energies.tex 
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H_{2q}=\hbar\omega_0 D^{\dagger}(\omega^{-1}_0 \hat{\gamma})\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 the bases $\{|N_{nm}nm >\}$ basis (\ref{eqn:basis})  in order to find later the eigenenergies of the system \begin{equation}  \begin{split}  &=\epsilon_N\delta_{sn}\delta_{tm}\\