Done with IIE

Manuscript/EPAWTFT.tex

@@ -508,7 +508,7 @@ the total spin operator $\hat{\mathcal{S}}^2$, leading to ``spin-contamination''
 \end{figure}
 %%%%%%%%%%%%%%%%%
 
-In the Hubbard dimer, the UHF energy can be parametrised using two rotation angles $\ta$ and $\tb$ as
+In the Hubbard dimer, the HF energy can be parametrised using two rotation angles $\ta$ and $\tb$ as
 \begin{equation}
 E_\text{HF}(\ta, \tb) = -t\, \qty( \sin \ta + \sin \tb ) + \frac{U}{2} \qty( 1 + \cos \ta \cos \tb ),
 \end{equation}
@@ -538,7 +538,7 @@ and the ground-state RHF energy (Fig.~\ref{fig:HF_real})
 	E_\text{RHF} \equiv E_\text{HF}(\ta^\text{RHF}, \tb^\text{RHF}) = -2t + \frac{U}{2}
 \end{equation}
 However, in the strongly correlated regime $U>2t$, the closed-shell orbital restriction prevents RHF from 
-modelling the correct physics with the two electrons on opposing sites.
+modelling the correct physics with the two electrons on opposite sites.
 
 %%% FIG 3 (?) %%%
 % Analytic Continuation of HF