COMPOSITE FERMION DESCRIPTIONS OF ELECTRONS ON A MAGNETIC SPHERE

Electrons on a magnetic sphere is studied using the composite Fermion picture, and the relationship between the value of the degeneracy NL o f the lowest electron energy shell and the number of electrons N is ex amined for a given Laughlin condensed state. Phenomenological quasipar ticle energies and their interactions are used to evaluate the ground state energies of the closed composite Fermion shells having fillings of v=2/5 and 2/7. For states close to the Laughlin v=1/3 state, the lo west energy sector of the energy spectrum is compared in two different mean-field composite Fermion descriptions.