blush again
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@ -368,9 +368,8 @@ After projecting onto \titou{$\phi_a^*(\bx_1) \phi_i(\bx_{1'})$}, one obtains th
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\frac{ \phi_a^*(\bx_3) \phi_i(\bx_4) } { \Oms - ( \e{a} - \e{i} ) + i \eta }
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\times \qty[ \theta( \tau ) e^{i ( \e{i} + \hOms) \tau } + \theta( - \tau ) e^{i (\e{a} - \hOms \tau) } ]
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\end{multline}
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with $\tau = \tau_{34}$.
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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...)}
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with $\tau = \tau_{34}$. From then on,
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$(i,j)$ index occupied orbitals and $(a,b)$ virtual ones.
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Adopting now the $GW$ approximation for the exchange-correlation self-energy, \ie,
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\begin{equation}
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\Sigma_\text{xc}^{\GW}(1,2) = i G(1,2) W(1^+,2),
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