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Exchange operators and extended Heisenberg algebra for the three-body Calogero-Marchioro-Wolfes problem | | C. Quesne
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12 May 1995 | | Journal: | Mod.Phys.Lett. A10 (1995) 1323-1330 | | Subject: | hep-th | | Abstract: | 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. | | Source: | arXiv, hep-th/9505071 | | Services: | Forum | Review | PDF | Favorites | |
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