Superintegrable three body systems in one dimension and generalizations

Physics – Mathematical Physics

Scientific paper

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This paper is a slightly extended version of a poster presented at the XVI ICMP held in Prague, 3-8 August 2009

Scientific paper

Superintegrable Hamiltonian systems describing the interactions among three
point masses on a line have been described in [2]. Here, we show examples of
how the approach of above can be extended to a higher number of particles on a
line and on higher dimensional manifolds. This paper is a slightly extended
version of a poster presented at the XVI ICMP held in Prague, 3-8 August 2009.

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