The dispersion of the initial state of a probe system, be it a quantum object or a macroscopic system in a classical interference experiment, is in general an essential element in the analysis of quantum interference phenomena. The general situation is discussed briefly with particular reference to generic cases in two-colour atomic-physics experiments. The effect of dispersion is, at first sight, somewhat counter-intuitive: if the probe is dispersion-free there is no interference except in special cases, while quantum interference gains full weight in the classical limit, where the dispersion is large. We propose experiments in which a continuous transition between the two regimes may be observed.