APPLICATION OF THE FERMI HYPERNETTED-CHAIN THEORY AND EFFECTIVE CORRELATION FACTOR METHOD FOR LAUGHLIN QUANTUM HALL STATES

The Fermi Hypernetted-Chain theory and the Effective Correlation Facto r method is applied to study the Laughlin states describing the,fracti onal quantum Hall effect. Employing this formalism we evaluate the cor relation energy, the radial distribution function, and the static stru cture factor, in the thermodynamic limit. The results obtained are sim ilar to the boson Hypernetted-Chain treatment, usually adopted. The ap proach can be generalized to treat other correlated wave functions, su ch as wave functions of the composite fermion type for the fractional quantum Hall effect, in the thermodynamic limit.