The quantum theory of the mazer is extended by giving exact analytical solutions for a smooth potential and comparing them with the mesa potential considered earlier. Furthermore, WKB solutions for sinusoidal mode functions are found, leading to interesting features such as a state-changing or state-preserving mirror for atoms. Experimental parameters are taken into account to show that it is in principle possible to realize the mazer experimentally.

• Received 9 April 1997

DOI:https://doi.org/10.1103/PhysRevA.56.4153