93 citations · 2.1k across the 117 of their papers we have counts for
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Integrable geodesic motion on 3D curved spaces from non-standard quantum deformations
Angel Ballesteros, Francisco J. Herranz, Orlando Ragnisco
The link between 3D spaces with (in general, non-constant) curvature and quantum deformations is presented. It is shown how the non-standard deformation of a sl(2) Poisson coalgebr…
Integrable potentials on spaces with curvature from quantum groups
Angel Ballesteros, Francisco J. Herranz, Orlando Ragnisco
A family of classical integrable systems defined on a deformation of the two-dimensional sphere, hyperbolic and (anti-)de Sitter spaces is constructed through Hamiltonians defined…
Maximally superintegrable Smorodinsky-Winternitz systems on the N-dimensional sphere and hyperbolic spaces
Francisco J. Herranz, Angel Ballesteros, Mariano Santander +1
The classical Smorodinsky-Winternitz systems on the ND sphere, Euclidean and hyperbolic spaces S^N, E^N and H^N are simultaneously approached starting from the Lie algebras so_k(N+…