FRACTIONAL QUANTUM HALL-EFFECT STUDIED BY MEANS OF A NONSPURIOUS BASIS-SET

A method for constructing a nonspurious set of N-particle harmonic wav e functions with arbitrary permutational symmetry is employed to study the behavior of two-dimensional few-electron clusters on an infinite fiat plane in a strong magnetic field. The Coulomb interaction is exac tly diagonalized within the first Landau level and energy cusps are id entified at the appropriate filling factors. The exact energies and pa ir distribution functions are compared with the corresponding results obtained using Laughlin's trial wave functions. Very good agreement is found with Laughlin's m = 3 wave function, but some deviation is indi cated for m = 5.