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The regions of validity of the Markov approximation for the coupling of atomsout of an atomic trap are determined. We consider radio-frequency outputcoupling in the presence of gravity and collisional repulsion, and Raman outputcoupling. The Markov approximation is crucial in most theoretical descriptionsof an atom laser that assume a continuous process of output coupling from atrapped Bose-Einstein condensate. In this regime many techniques proved to beuseful for modeling the optical laser, such as master equations, can be used todescribe the dynamics of the damping of the condensate mode undergoing outputcoupling.Comment: 16 pages, 3 figure

Markov approximation for the atomic output coupler