Fermi liquid shell model descriptions of composite fermions

Systems containing a small number of quasiparticles of a Laughlin v = 1/m state can be described in terms of composite Fermions carrying either 2p(-) or 2p(+) flux quanta, where 2p(+/-) = m +/- 1. The Fermi liquid shell model is applied to these two descriptions for a system of the six electrons on a spherical magnetic surface, and predictions for the low energy spectra are compared with one another and with exact numerical results. (C) 1997 Published by Elsevier Science Ltd.