HARTREE-FOCK APPROXIMATION FOR COULOMB INTERACTING ANYON GAS IN A MAGNETIC FIELD

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Abstract
Dyson equations for a Coulomb interacting anyon gas in a magnetic field are obtained and solved in the Hartree-Fock approximation. The states recently proposed by Greiter and Wilczek naturally arise from the Hartree-Fock solution. The electron self energies are calculated in the case when only the lowest Landau level is occupied.

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