“…A contraction of the four-point reducible part L(r, r 1 , r , r 1 , ω) of the two-particle Green's function leads to the two-point response functions χ(r, r , ω) that determine measurable spectra, like absorption or electron energy loss spectra (EELS). Many-body perturbation Theory (MBPT) yields a framework where suitable approximations for these Green's functions can be found; in particular the Bethe-Salpeter Equation (BSE) is a good starting point for approximations for χ [11,12,13,14]. The price to be payed for a physically intuitive and in general quite reliable description is however relatively high in terms of computational cost, because now quantities like L(r, r 1 , r , r 1 , ω) appear, instead of the density n(r).…”