Abstract
A quantum mechanical analysis is given for the complex detuning phenomena observed in cascaded cavity molecular beam masers. This interprets observed phenomena in terms of pulse excitation of the particles as they traverse the first cavity, and predicts a range of new phenomena hitherto not observed, corresponding to pulse excitation in the pi to 2 pi range. The behaviour is also explained qualitatively in terms of the geometrical representation of the Schrodinger equation for a two-level system, and by this means is related to observations of the energy states of the particles emerging from the first cavity.