93 citations · 2.1k across the 117 of their papers we have counts for
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A maximally superintegrable system on an n-dimensional space of nonconstant curvature
Angel Ballesteros, Alberto Enciso, Francisco J. Herranz +1
A novel Hamiltonian system in n dimensions which admits the maximal number 2n-1 of functionally independent, quadratic first integrals is presented. This system turns out to be the…
Classical Lie algebras and Drinfeld doubles
A. Ballesteros, E. Celeghini, M. A. del Olmo
The Drinfeld double structure underlying the Cartan series An, Bn, Cn, Dn of simple Lie algebras is discussed. This structure is determined by two disjoint solvable subalgebras mat…
Quantum Deformations and Superintegrable Motions on Spaces with Variable Curvature
Orlando Ragnisco, Angel Ballesteros, Francisco J. Herranz +1
An infinite family of quasi-maximally superintegrable Hamiltonians with a common set of (2N-3) integrals of the motion is introduced. The integrability properties of all these Hami…
Universal integrals for superintegrable systems on N-dimensional spaces of constant curvature
Angel Ballesteros, Francisco J. Herranz
An infinite family of classical superintegrable Hamiltonians defined on the N-dimensional spherical, Euclidean and hyperbolic spaces are shown to have a common set of (2N-3) functi…
The Kepler problem on 3D spaces of variable and constant curvature from quantum algebras
Angel Ballesteros, Francisco J. Herranz
A quantum sl(2,R) coalgebra (with deformation parameter z) is shown to underly the construction of superintegrable Kepler potentials on 3D spaces of variable and constant curvature…
Superintegrability on Three-Dimensional Riemannian and Relativistic Spaces of Constant Curvature
Francisco J. Herranz, Angel Ballesteros
A family of classical superintegrable Hamiltonians, depending on an arbitrary radial function, which are defined on the 3D spherical, Euclidean and hyperbolic spaces as well as on…