On superintegrable systems closed to geodesic motion

Details On superintegrable systems closed to geodesic motion On superintegrable systems closed to geodesic motion

1997-05-06

arxiv.org/abs/solv-int/9705004v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

22 pages, LaTeX

Scientific paper

In this work we consider superintegrable systems in the classical $r$-matrix
method. By using other authomorphisms of the loop algebras we construct new
superintegrable systems with rational potentials from geodesic motion on
$R^{2n}$.

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