We develop the quantum-mechanical description of output coupling of macrosc
opic coherent matter waves from a Bose-Einstein condensate (BEC) via a radi
o-frequency field in the pulsed and cw limits for both strong and weak fiel
d coupling. The theory is converted into a Fock state description to point
out the stimulated (in Bose particle) nature of the output coupling. A usef
ul analogy with the theory of molecular photodissociation is used to explai
n the various regimes of output coupling BECs using radiation sources. We p
resent specific calculations of the rates of output coupling as a function
of the number of Bose atoms in the condensate and the frequency, detuning,
and intensity of the radio-frequency field. [S1050-2947(99)00805-7].