The quantum theory of the mazer is extended by giving exact analytical
solutions for a smooth potential and comparing them with the mesa pot
ential considered earlier. Furthermore, WKB solutions for sinusoidal m
ode functions are found, leading to interesting features such as a sta
te-changing or state-preserving mirror for atoms. Experimental paramet
ers are taken into account to show that it is in principle possible to
realize the mazer experimentally. [S1050-2947(97)01511-4].