Abstract
We obtain the exact spectrum and the unique ground state of two composite fermions (in a Rajaraman - Sondhi like formulation) in an external magnetic field . We show that the energy eigenvalues decrease with increasing angular momentum, thus making it energetically favourable for composite fermions to stay apart. Generalising this result to a gas of composite fermions, we provide an energetic justification of the Laughlin and Jain wave-functions.
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