blush again

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Pierre-Francois Loos 2020-05-25 15:55:16 +02:00
parent 5e9f11a00e
commit cf9abd7f38

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@ -368,9 +368,8 @@ After projecting onto \titou{$\phi_a^*(\bx_1) \phi_i(\bx_{1'})$}, one obtains th
\frac{ \phi_a^*(\bx_3) \phi_i(\bx_4) } { \Oms - ( \e{a} - \e{i} ) + i \eta }
\times \qty[ \theta( \tau ) e^{i ( \e{i} + \hOms) \tau } + \theta( - \tau ) e^{i (\e{a} - \hOms \tau) } ]
\end{multline}
with $\tau = \tau_{34}$.
and where we adopt the iWe used chemist notations with $(i,j)$ indexing occupied orbitals and $(a,b)$ virtual ones. (T2: I wouldn't call that chemist notations...)}
with $\tau = \tau_{34}$. From then on,
$(i,j)$ index occupied orbitals and $(a,b)$ virtual ones.
Adopting now the $GW$ approximation for the exchange-correlation self-energy, \ie,
\begin{equation}
\Sigma_\text{xc}^{\GW}(1,2) = i G(1,2) W(1^+,2),