diff --git a/Slides/SRG-GF.tex b/Slides/SRG-GF.tex index 646fb36..589eb50 100644 --- a/Slides/SRG-GF.tex +++ b/Slides/SRG-GF.tex @@ -344,7 +344,7 @@ \begin{equation} \Tilde{\bF}(s) = \bF + \bF^{(2)}(s) \qq{with} - \Tilde{\bF}_{pq}(s) = \delta_{pq} \eps_{p} - \sum_{rm} \frac{\Tilde{W}_{pi,m}(s) \Tilde{W}_{qi,m}(s)}{\Delta_m^{pr} \Delta_m^{qr}} + \Tilde{\bF}_{pq}(s) = \delta_{pq} \eps_{p} - \sum_{r,m} \frac{\Tilde{W}_{pr,m}(0) \Tilde{W}_{qr,m}(0) - \Tilde{W}_{pr,m}(s) \Tilde{W}_{qr,m}(s)}{\Delta_p^{(r,m)} \Delta_q^{(r,m)}} \end{equation} \end{block} \begin{block}{Regularized $GW$ self-energy} @@ -353,7 +353,7 @@ = \sum_{im} \frac{\Tilde{W}_{pi,m}(s) \Tilde{W}_{qi,m}(s)}{\om - \eps_{i} + \Om_{m}} + \sum_{am} \frac{\Tilde{W}_{pa,m}(s) \Tilde{W}_{qa,m}(s)}{\om - \eps_{a} - \Om_{m}} \qq{with} - \Tilde{W}_{pq,m}(s) = W_{pq,m} e^{-(\eps_{p} - \eps_{q} + \Om_{m})^2 s} + \Tilde{W}_{pq,m}(s) = W_{pq,m} e^{-(\Delta_p^{(q,v)})^2 s} \end{equation} \end{block} \end{frame}