“…Many-body Green’s functions Theory employing the GW approximation and the Bethe–Salpeter equation (BSE) has been a widely established method for the determination of electronic excitations in solid-state physics. Over the past decade, it has gradually found more and more application in traditionally molecular quantum chemistry settings. − It was shown that GW -BSE provides an effective single- and two-particle picture with accurate energies for charged and neutral excitations of different character, e.g., photoionization and localized vs charge-transfer type excitations, without the need for any adaptations. ,, Even though its scaling (dependent on details of the implementation) is favorable compared to wave function based methods such as ADC(2) or CC2, the direct application of GW -BSE to many complex molecular systems remains computationally challenging. Examples of such molecular systems are polymers with complex internal architecture, either solvated or pure or mixed blends, more general solvent–solute systems with nonequilibrium relaxation dynamics, or molecular aggregates as in organic semiconductor films …”