“…Ab-initio GW /BSE calculations focused on semiconductors like Si, GaAs, and Li 2 O where GW /BSE produces optical absorption spectra and exciton binding energies in close agreement with experiment (Onida et al, 1995b; Albrecht et al, 1997, 1998a,b; Benedict et al, 1998a,b; Rohlfing and Louie, 1998, 2000; Benedict and Shirley, 1999). Similar to the proliferation of GW since its early successes, GW /BSE has been applied extensively to solids (Schleife et al, 2011, 2018; Rinke et al, 2012; Erhart et al, 2014), molecules (Körbel et al, 2014; Bruneval et al, 2015; Jacquemin et al, 2015), surfaces (Palummo et al, 2004), and two-dimensional materials (Komsa and Krasheninnikov, 2012; Ramasubramaniam, 2012; Hüser et al, 2013a; Qiu et al, 2013, 2016; Shi et al, 2013; Ugeda et al, 2014; Dvorak and Wu, 2015). As with Dyson's equation, equations with the Bethe-Salpeter form appear in different contexts in many-body theory.…”