Ground State Wavefunctions of General Filling Factors in the Lowest Landau Level

Abstract

We present a set of explicit trial wavefunctions for the filling factors ν=n/(2n\pm 1) and ν=1/2 in the symmetric gauge. We show that the zeroes of the wavefunction, except those dictated by the Fermi statistics, are detached from the particles. The evolution of zeroes as the filling factor is varied is examined. We show that the wavefunction at half-filling exhibits a 2k_F-like oscillation in its occupation number profile. The center-of-mass motion of the ground state droplet is described in terms of the intra-Landau- level excitations of composite fermions.