deletions | additions       diff --git a/Energies.tex b/Energies.tex  index 68628c8..f6bb997 100644  --- a/Energies.tex  +++ b/Energies.tex 
...
\end{equation}  where $\alpha_{stnm}=\omega_0(\gamma_{st}-\gamma_{nm})$. Therefore, one can easily see that for $s=n$ and $t=m$ the matrix element becomes $=\delta_{MN}$ (since $D(0)=\id$).  As \textit{Rebolini} done in his thesis work \cite{A_Rebolini} I perform the \textit{adiabatic approximation} that consist in discarding the far-from diagonal matrix elements, i.e. those therms for which $M\neq N$.