loos/SRGGW
2
0
Fork 0
Code Issues Pull Requests Projects Releases Wiki Activity

making it compile

Browse Source
This commit is contained in:
Antoine Marie 2023-02-02 22:02:51 +01:00
parent f5d111e059
commit b20c2b2e8b
1 changed files with 1 additions and 1 deletions
Show Stats Download Patch File Download Diff File Expand all files Collapse all files

2
Manuscript/SRGGW.tex
View File

@ -455,7 +455,7 @@ The two first equations imply
\end{align} \end{align}
and thanks to the diagonal structure of $\bF^{(0)}$ and $\bC^{(0)}$ the differential equations for the coupling elements are easily solved and give and thanks to the diagonal structure of $\bF^{(0)}$ and $\bC^{(0)}$ the differential equations for the coupling elements are easily solved and give
\begin{equation} \begin{equation}
W_{p,q\nu}^{(1)}(s) &= W_{p,q\nu}^{(1)}(0) e^{- (F_{pp}^{(0)} - C_{q\nu,q\nu}^{(0)})^2 s} W_{p,q\nu}^{(1)}(s) = W_{p,q\nu}^{(1)}(0) e^{- (F_{pp}^{(0)} - C_{q\nu,q\nu}^{(0)})^2 s}
\end{equation} \end{equation}
At $s=0$ the elements $W_{p,q\nu}^{(1)}(0)$ are equal to the two-electron screened integrals defined in Eq.~\eqref{eq:GW_sERI} while for $s\to\infty$ they go to zero. At $s=0$ the elements $W_{p,q\nu}^{(1)}(0)$ are equal to the two-electron screened integrals defined in Eq.~\eqref{eq:GW_sERI} while for $s\to\infty$ they go to zero.
Therefore, $W_{p,q\nu}^{(1)}(s)$ are renormalized two-electrons screened integrals. Therefore, $W_{p,q\nu}^{(1)}(s)$ are renormalized two-electrons screened integrals.