69 citations · 368 across the 16 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…
Curvature from quantum deformations
Angel Ballesteros, Francisco J. Herranz, Orlando Ragnisco
A Poisson coalgebra analogue of a (non-standard) quantum deformation of sl(2) is shown to generate an integrable geodesic dynamics on certain 2D spaces of non-constant curvature. S…