Two body systems from sl(2,C)-tops

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dc.creatorAndrey, Smirnov
dc.date2007-11-15
dc.date.accessioned2026-07-07T08:43:07Z
dc.date.available2026-07-07T08:43:07Z
dc.descriptionIt is shown that sl(2,$\mathbb{C}$) Euler-Arnold tops are equivalent to the two-body systems of Calogero-Moser type. We prove that generic Hamiltonians of sl(2,$\mathbb{C}$) tops are equivalent to one of three canonical Hamiltonians. For all canonical Hamiltonians the corresponding two-body system is found. Bosonisation formulas for each case are obtained explicitly. Relations with Antonov-Zabrodin-Hasegawa R-matrix are discussed.
dc.description9 pages
dc.identifierhttps://arxiv.org/abs/0711.2432
dc.identifierhttp://arxiv.org/abs/0711.2432
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/142205
dc.subjectDynamical Systems
dc.titleTwo body systems from sl(2,C)-tops
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