The one-electron excitation spectrum of the prototype semiconductor Si
has been obtained from a first principles calculation of the spectral
-weight function A((q) over right arrow, omega) of the interacting one
-electron Green's function. The Dyson equation has been solved with th
e self-energy operator obtained in the GW approximation, where the bar
e propagator G and the omega-dependent screening matrix W, without (ra
ndom-phase approximation) and with (time-dependent local density appro
ximation) vertex corrections, have been computed within Kohn-Sham-loca
l-density-approximation theory. Positions of quasiparticle peaks (i.e.
, the ''band structure''), their lifetimes, and satellite (plasmaron)
spectral structures are extracted in a broad energy range. [S0163-1829
(97)08140-X].