title: Reduction of superintegrable systems: the anisotropic harmonic oscillator.
abstract: We introduce a 2N-parametric family of maximally superintegrable systems in N dimensions, obtained as a reduction of an anisotropic harmonic oscillator in a 2N-dimensional configuration space. These systems possess closed bounded orbits and integrals of motion which are polynomial in the momenta. They generalize known examples of superintegrable models in the Euclidean plane.
authors.affiliation: Departamento de Física Teórica II, Facultad de Físicas, Universidad Complutense, 28040 Madrid, Spain. rodrigue@fis.ucm.es
authors.forename: Miguel A
authors.initials: MA
authors.lastname: Rodríguez
authors.forename: Piergiulio
authors.initials: P
authors.lastname: Tempesta
authors.forename: Pavel
authors.initials: P
authors.lastname: Winternitz