ANALYSIS OF N-ANYON SPECTRUM IN HYPERSPHERICAL COORDINATES

The introduction of hyperspherical coordinates allows the separation o f an N-anyon Schrodinger equation into a hyperradial and a hyperangula r part in a harmonic well. While the hyperradial part is analytically solvable, we present a systematic procedure to solve the hyperangular equation. The inclusion of a perpendicular magnetic field and inverse- square-type particle-particle interaction does not complicate the prob lem. The interplay of exchange statistics and conventional particle-pa rticle interaction is emphasized. [S0556-2821(97)06920-8].