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The topological morphology--order of zeros at the positions of electrons withrespect to a specific electron--of Laughlin state at filling fractions $1/m$($m$ odd) is homogeneous as every electron feels zeros of order $m$ at thepositions of other electrons. Although fairly accurate ground state wavefunctions for most of the other quantum Hall states in the lowest Landau levelare quite well-known, it had been an open problem in expressing the groundstate wave functions in terms of flux-attachment to particles, {\em a la}, thismorphology of Laughlin state. With a very general consideration offlux-particle relations only, in spherical geometry, we here report a novelmethod for determining morphologies of these states. Based on these, weconstruct almost exact ground state wave-functions for the Coulomb interaction.Although the form of interaction may change the ground state wave-function, thesame morphology constructs the latter irrespective of the nature of theinteraction between electrons.

Jastrow form of the Ground State Wave Functions for Fractional Quantum Hall States