We study a cavity QED model where a single three-level atom interacts
with four quantized cavity fields in a Raman-type interaction, forming
two transition channels for the atom. We show that this system is equ
ivalent to the coupling of three angular momenta, and give its exact e
igenenergies and eigen-vectors in terms of Clebsch-Gordan coefficients
, even if the ac Stark shift is included. Some Heisenberg operators ar
e solved exactly as well as approximately. Dynamical evolution of aver
age photon numbers and the atomic inversion are discussed for several
initial conditions and a simple example of model interference is exami
ned.