Abstract
A general scheme for constructing superintegrable systems for separated Hamiltonians in an arbitrary number of degrees of freedom is presented. The resulting family contains previously known superintgrable systems with separated Hamiltonians (in Cartesian coordinates at least); however, in general, the models belonging to the family admit additional integrals which are nonpolynomial functions of momenta. An application of the method for the construction of superintegrable models of Liouville type is described.
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