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Invariants of the spherical sector in conformal mechanics

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arxiv 1008.2912 v1 pith:JTD5FKIV submitted 2010-08-17 hep-th math-phmath.MP

Tigran Hakobyan , Olaf Lechtenfeld , Armen Nersessian , Armen Saghatelian This is my paper · ORCID
classification hep-thmath-phmath.MP
keywords sphericalcalogeroconformalconstantsmechanicsmotionpartcenter
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A direct relation is established between the constants of motion for conformal mechanics and those for its spherical part. In this way we find the complete set of functionally independent constants of motion for the so-called cuboctahedric Higgs oscillator, which is just the spherical part of the rational A_3 Calogero model (describing four Calogero particles after decoupling their center of mass).

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