yet another minor correction
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@ -273,7 +273,7 @@ This was fixed in a follow-up paper by Sangalli \textit{et al.} \cite{Sangalli_2
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By computing the polarizability of two unsaturated hydrocarbon chains, \ce{C8H2} and \ce{C4H6}, they showed that their approach produces the correct number of physical excitations.
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Finally, let us mention efforts to borrow ingredients from BSE in order to go beyond the adiabatic approximation of TD-DFT.
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For example, Huix-Rotllant and Casida \cite{Casida_2005,Huix-Rotllant_2011} proposed a nonadiabatic correction to the xc kernel using the formalism of superoperators, which includes as a special case the dressed TD-DFT method of Maitra and coworkers. \cite{Maitra_2004,Cave_2004,Elliott_2011,Maitra_2012}
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For example, Huix-Rotllant and Casida \cite{Casida_2005,Huix-Rotllant_2011} proposed a nonadiabatic correction to the xc kernel using the formalism of superoperators, which includes as a special case the dressed TD-DFT method of Maitra and coworkers, \cite{Maitra_2004,Cave_2004,Elliott_2011,Maitra_2012} where a frequency-dependent kernel is build \textit{a priori} and manually for a particular excitation.
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Following a similar strategy, Romaniello \textit{et al.} \cite{Romaniello_2009b} took advantages of the dynamically-screened Coulomb potential from BSE to obtain a dynamic TD-DFT kernel.
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In this regard, MBPT provides key insights about what is missing in adiabatic TD-DFT, as discussed in details by Casida and Huix-Rotllant in Ref.~\onlinecite{Casida_2016}.
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@ -1015,13 +1015,11 @@ Moreover, we have observed that an iterative, self-consistent resolution [where
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& $^3A_u(n \ra \pis)$ & Val. & & 2.77 & 2.38 & -0.39 & 1.028 & 2.49 \\
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& $^3B_g(n \ra \pis)$ & Val. & & 4.23 & 3.75 & -0.48 & 1.034 & 3.91 \\
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& $^3B_u(\pi \ra \pis)$ & Val. & & 5.01 & 4.47 & -0.55 & 1.034 & 5.20 \\
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& $^3A_g(\pi \ra \pis)$ & Val. & & 6.22 & 5.61 & -0.61 & 1.038 & 6.34 \\
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\\
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streptocyanine & $^1B_2(\pi \ra \pis)$ & Val. & 13.79 & 7.66 & 7.51 & -0.15 & 1.019 & 7.14 \\
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& $^3B_2(\pi \ra \pis)$ & Val. & & 5.39 & 5.10 & -0.29 & 1.021 & 5.48 \\
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\hline
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MAE & & & & 0.30 & 0.26 & & & 0.00 \\
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MSE & & & & 0.27 & -0.04 & & & 0.00 \\
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MAE & & & & 0.32 & 0.30 & & & 0.00 \\
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MSE & & & & 0.23 & 0.00 & & & 0.00 \\
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\end{tabular}
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\end{ruledtabular}
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\end{table}
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