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arxiv: math-ph/0606006 · v3 · submitted 2006-06-01 · 🧮 math-ph · math.MP· nlin.SI

A class of superintegrable systems of Calogero type

classification 🧮 math-ph math.MPnlin.SI
keywords calogerosuperintegrablesystemsarbitrarybodycaseclasseuclidean
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We show that the three body Calogero model with inverse square potentials can be interpreted as a maximally superintegrable and multiseparable system in Euclidean three-space. As such it is a special case of a family of systems involving one arbitrary function of one variable.

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