69 citations · 323 across the 14 of their papers we have counts for
4 papers · 2 filters
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…
A rigid body dynamics derived from a class of extended Gaudin models : an integrable discretization
F. Musso, M. Petrera, O. Ragnisco +1
We consider a hierarchy of classical Liouville completely integrable models sharing the same (linear) --matrix structure obtained through an --th jet--extension of $\mathfrak…
Gaudin models with ${\CU}_q(\mathfrak{osp}(1 | 2))$ symmetry
Fabio Musso, Matteo Petrera, Orlando Ragnisco +1
We consider a Gaudin model related to the q-deformed superalgebra ${\CU}_q(\mathfrak{osp}(1 | 2))$. We present an exact solution to that system diagonalizing a complete set of comm…