69 citations · 334 across the 14 of their papers we have counts for
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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…
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…
Generalized rotational hamiltonians from nonlinear angular momentum algebras
A. Ballesteros, O. Civitarese, F. J. Herranz +1
Higgs algebras are used to construct rotational Hamiltonians. The correspondence between the spectrum of a triaxial rotor and the spectrum of a cubic Higgs algebra is demonstrated.…
N-dimensional sl(2)-coalgebra spaces with non-constant curvature
Angel Ballesteros, Alberto Enciso, Francisco J. Herranz +1
An infinite family of ND spaces endowed with sl(2)-coalgebra symmetry is introduced. For all these spaces the geodesic flow is superintegrable, and the explicit form of their commo…