The damped multimodulated fluorescence of a mutually interacting mater
ial quantum system and quantized radiation field is described in terms
of the temporally quantized theory derived recently to deal with such
processes. An important consequence of the theory is that ail compone
nts of the fluorescence must have the same quality factor. Thereby, wi
thout interjecting any phenomenologically based damping rate-constants
, the theory is able to account quite well for the fluorescences of ap
propriately excited rubidium atoms interacting with various weak radia
tion fields contained in low-temperature cavities. Alternative theoret
ical expressions able to account for these fluorescences require the d
amping rate-constants to be fitted to them ad hoc. The simplicity of t
he temporally quantized theory in not requiring these additions serves
to corroborate its quantitative completeness. Fluorescence experiment
s yet to be carried out are suggested which appear to be capable of te
sting directly the temporal quantization feature of the theory.