93 citations · 2.1k across the 117 of their papers we have counts for
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Integrable Henon-Heiles Hamiltonians: a Poisson algebra approach
Angel Ballesteros, Alfonso Blasco
The three integrable two-dimensional Henon-Heiles systems and their integrable perturbations are revisited. A family of new integrable perturbations is found, and N-dimensional com…
New superintegrable models with position-dependent mass from Bertrand's Theorem on curved spaces
Angel Ballesteros, Alberto Enciso, Francisco J. Herranz +2
A generalized version of Bertrand's theorem on spherically symmetric curved spaces is presented. This result is based on the classification of (3+1)-dimensional (Lorentzian) Bertra…
On two superintegrable nonlinear oscillators in N dimensions
Angel Ballesteros, Alberto Enciso, Francisco J. Herranz +2
We consider the classical superintegrable Hamiltonian system given by , where U is known to be the "intrinsic" oscillator potential o…
A new exactly solvable quantum model in N dimensions
Angel Ballesteros, Alberto Enciso, Francisco J. Herranz +2
An N-dimensional position-dependent mass Hamiltonian (depending on a parameter λ) formed by a curved kinetic term and an intrinsic oscillator potential is considered. It is shown t…
Three-dimensional gravity and Drinfel'd doubles: spacetimes and symmetries from quantum deformations
Angel Ballesteros, Francisco J. Herranz, Catherine Meusburger
We show how the constant curvature spacetimes of 3d gravity and the associated symmetry algebras can be derived from a single quantum deformation of the 3d Lorentz algebra sl(2,R).…