most citedA maximally superintegrable system on an n-dimensional space of nonconstant curvature

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math-ph2007★ 5 cited

Superintegrability on N-dimensional spaces of constant curvature from so(N+1) and its contractions

Francisco J. Herranz, Angel Ballesteros

The Lie-Poisson algebra so(N+1) and some of its contractions are used to construct a family of superintegrable Hamiltonians on the ND spherical, Euclidean, hyperbolic, Minkowskian…

math-ph2007★ 5 cited

Superintegrability on sl(2)-coalgebra spaces

Angel Ballesteros, Francisco J. Herranz, Orlando Ragnisco

We review a recently introduced set of N-dimensional quasi-maximally superintegrable Hamiltonian systems describing geodesic motions, that can be used to generate "dynamically" a l…

math-ph2006★ 58 cited

A maximally superintegrable system on an n-dimensional space of nonconstant curvature

Angel Ballesteros, Alberto Enciso, Francisco J. Herranz +1

A novel Hamiltonian system in n dimensions which admits the maximal number 2n-1 of functionally independent, quadratic first integrals is presented. This system turns out to be the…