diff --git a/CCvsMBPT.tex b/CCvsMBPT.tex index 17e9c28..5c6fd40 100644 --- a/CCvsMBPT.tex +++ b/CCvsMBPT.tex @@ -719,7 +719,8 @@ The $G_0W_0$ quasiparticle energies can be easily obtained via the procedure des %%%%%%%%%%%%%%%%%%%%% \section{Conclusion} %%%%%%%%%%%%%%%%%%%%% -Here, we have unveiled exact similarities between many-body perturbation and CC theories at the ground- and excited-state levels. +Here, we have unveiled exact similarities between CC and many-body perturbation theory at the ground- and excited-state levels. +More specifically, we have shown how to recast $GW$ and BSE as non-linear CC-like equations that can be solved with the usual CC machinery with the same computational cost. The conventional and CC-based versions of the BSE and $GW$ schemes that we have described in the present work have been implemented in the electronic structure package QuAcK \cite{QuAcK} (available at \url{https://github.com/pfloos/QuAcK}) with which we have numerically checked these exact equivalences. Similitudes between BSE@$GW$ and STEOM-CC have been put forward. We hope that the present work may provide a path for the computation of ground- and excited-state properties (such as nuclear gradients) within the $GW$ \cite{Lazzeri_2008,Faber_2011b,Yin_2013,Montserrat_2016,Zhenglu_2019} and BSE \cite{IsmailBeigi_2003,Caylak_2021,Knysh_2022} frameworks, and broaden the applicability of Green's function methods in the molecular electronic structure community and beyond.