We study the dynamics of the driven Jaynes-Cummings model where an ato
m interacts with a single-mode cavity field but is also directly drive
n by an external radiation field. We show that the dynamic variables c
an be described in terms of ordinary Jaynes-Cummings dynamic variables
with a different initial condition. We investigate the special case o
f an initial coherent state. We find collapses and revivals in the ave
rage number of photons at a much larger time scale than their Jaynes-C
ummings model counterparts. We show that these ''super-revivals'' are
related to the large-time-scale revivals that occur in the average ele
ctric field in the ordinary Jaynes-Cummings model. We also examine the
photon statistics in the driven Jaynes-Cummings model and show that t
he cavity field is sub-Poissonian for certain interaction times.