The term quantum beats refers to a superposed oscillatory behaviour in
the light intensity emitted by some suddenly excited atomic systems i
n their subsequent decay. In this paper we reinvestigate quantum beats
for systems where two upper levels may decay to a common ground state
by using the recently developed approach of quantum jumps. The treatm
ent turns out to be very simple and intuitive. It gives explicit expre
ssions for the time-dependent intensity of the radiating system and al
lows us to exhibit several phenomena which so far seem to have been ov
erlooked. We show that quantum beats may also occur if only one of the
upper levels is initially excited, a superposition is not needed. A p
ossible experimental set-up for the verification of this effect is pro
posed. It is also shown that in some cases the beat frequency may diff
er considerably from the separation deltaomega of the upper levels. Fo
r equal Einstein coefficients of the upper levels the beats are shown
to be unexpectedly absent for small deltaomega.