We propose a simple model of an ion-trap laser: A single two-level ion conf
ined to a harmonic trap, subjected to resolved-sideband laser cooling in th
e presence of external noise, and coupled strongly to an optical cavity. Th
e lasing of the cavity mode results from the quantized treatment of the ion
's motion, and occurs when the cavity is tuned to frequencies of the vibrat
ional sidebands located below the frequency of the cooling laser. [S1050-29
47(99)04712-5].