A theory of time-resolved luminescence from photoexcited semiconductors is
presented. It combines quantum kinetics of hot-carrier relaxation and quant
um theory of spontaneous emission. Model calculations show the "transfer" o
f photoluminescence from the initial signal at the pump frequency via subse
quent phonon replicas until the buildup of luminescence at the excitonic re
sonance. Time-resolved photoluminescence is predicted to be a sensitive mea
sure of electron-LO-phonon quantum kinetics and bottleneck effects.