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We obtain the exact spectrum and the unique ground state of two compositefermions (in a Rajaraman - Sondhi like formulation) in an external magneticfield $B$. We show that the energy eigenvalues decrease with increasing angularmomentum, thus making it energetically favourable for composite fermions tostay apart. Generalising this result to a gas of composite fermions, we providean energetic justification of the Laughlin and Jain wave-functions.Comment: Technical error correcte

Exact Analytic Results for Composite Fermions in a Rajaraman–Sondhi Like Formulation