GROUND-STATE WAVE-FUNCTIONS OF GENERAL FILLING FACTORS IN THE LOWEST LANDAU-LEVEL

We present a set of explicit trial wave functions for the filling fact ors nu=n/(2n+/-1) and nu=1/2 in the symmetric gauge. We show that the zeros of the wave function, except those dictated by the Fermi statist ics, are detached from the particles. The evolution of teres as the fi lling factor is varied is examined. We show that the wave function at half filling exhibits a 2k(F)-like oscillation in its occupation numbe r profile. The center-of-mass motion of the ground-state droplet is de scribed in terms of the intra-landau-level excitations of composite fe rmions. [S0163-1829(98)51440-3].