FEW-ANYON SYSTEMS IN A PARABOLIC DOT

The energy levels of two and three anyons in a two-dimensional parabol ic quantum dot and a perpendicular magnetic field are computed as powe r series in 1/\J\, where J is the angular momentum. The particles inte ract repulsively through a Coulombic (1/r) potential. In the two-anyon problem, the reached accuracy is better than one part in 10(5). For t hree anyons, we study the combined effects of anyon statistics and Cou lomb repulsion in the ''linear'' anyonic states.