ar X iv : h ep - t h / 95 05 07 1 v 1 1 2 M ay 1 99 5 EXCHANGE OPERATORS AND EXTENDED HEISENBERG ALGEBRA FOR THE THREE - BODY CALOGERO - MARCHIORO - WOLFES PROBLEM
نویسنده
چکیده
The exchange operator formalism previously introduced for the Calogero problem is extended to the three-body Calogero-Marchioro-Wolfes one. In the absence of oscillator potential, the Hamiltonian of the latter is interpreted as a free particle Hamiltonian, expressed in terms of 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 D 6-extended Heisenberg algebra. A proof of complete integrability is also provided.
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تاریخ انتشار 1995