We discuss the relationship between bosonic stimulation, density fluctuatio
ns, and matter wave gratings. It is shown that enhanced stimulated scatteri
ng, matter wave amplification, and atomic four-wave mixing do not require m
acroscopic occupation of a single quantum state. These processes are in pri
nciple possible for fermionic or nondegenerate samples, if they are prepare
d in a cooperative state. In practice, there are limitations due to short c
oherence times.