SOME EXACT RESULTS FOR A 2-DIMENSIONAL SYSTEM OF PARTICLES

The Laughlin variational wave function of a quantum liquid used in stu dying the fractional quantum Hall effect may be interpreted as a two-d imensional system of particles interacting via a logarithmic interacti on, with a centripetal force proportional to the square of the distanc e from the origin. We present exact calculations of the partition func tion, radial distribution function, and particle density for systems o f up to six particles.