Abstract

The exchange operator formalism introduced recently for the Calogero problem is extended to that of the three-body Calogero-Marchioro-Wolfes. In the absence of oscillator potential, the Hamiltonian of the latter is interpreted as a free particle Hamiltonian, expressed in terms of the generalized momenta. In the presence of oscillator potential, it is regarded as a free modified boson Hamiltonian. The modified boson operators are shown to belong to a D6-extended Heisenberg algebra. A proof of the complete integrability is also provided.

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