Polynomial constants of motion for Calogero-type systems in three dimensions

Physics – Mathematical Physics

Scientific paper

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A small flaw in the proof of Theorem 3 has been amended. Some remarks about dihedral symmetries and superintegrability have be

Scientific paper

We give an explicit and concise formula for higher-degree polynomial first
integrals of a family of Calogero-type Hamiltonian systems in dimension three.
These first integrals, together with the already known ones, prove the maximal
superintegrability of the systems.

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