93 citations · 2.1k across the 117 of their papers we have counts for
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Integrable perturbations of the N-dimensional isotropic oscillator
Angel Ballesteros, Alfonso Blasco
Two new families of completely integrable perturbations of the N-dimensional isotropic harmonic oscillator Hamiltonian are presented. Such perturbations depend on arbitrary functio…
(Super)integrability from coalgebra symmetry: formalism and applications
Angel Ballesteros, Alfonso Blasco, Francisco J. Herranz +2
The coalgebra approach to the construction of classical integrable systems from Poisson coalgebras is reviewed, and the essential role played by symplectic realizations in this fra…
Maximal superintegrability of the generalized Kepler--Coulomb system on N-dimensional curved spaces
Angel Ballesteros, Francisco J. Herranz
The superposition of the Kepler-Coulomb potential on the 3D Euclidean space with three centrifugal terms has recently been shown to be maximally superintegrable [Verrier P E and Ev…
N-dimensional integrability from two-photon coalgebra symmetry
Angel Ballesteros, Alfonso Blasco, Francisco J. Herranz
A wide class of Hamiltonian systems with N degrees of freedom and endowed with, at least, (N-2) functionally independent integrals of motion in involution is constructed by making…
Comodule algebras and integrable systems
Angel Ballesteros, Fabio Musso, Orlando Ragnisco
A method to construct both classical and quantum completely integrable systems from (Jordan-Lie) comodule algebras is introduced. Several integrable models based on a so(2,1) comod…