93 citations · 2.1k across the 117 of their papers we have counts for
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Superintegrable anharmonic oscillators on N-dimensional curved spaces
Angel Ballesteros, Alberto Encisco, Francisco J. Herranz +1
The maximal superintegrability of the intrinsic harmonic oscillator potential on N-dimensional spaces with constant curvature is revisited from the point of view of sl(2)-Poisson c…
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…
Contractions, deformations and curvature
Angel Ballesteros, Francisco J. Herranz, Orlando Ragnisco +1
The role of curvature in relation with Lie algebra contractions of the pseudo-ortogonal algebras so(p,q) is fully described by considering some associated symmetrical homogeneous s…
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…