69 citations · 368 across the 16 of their papers we have counts for
16 papers · 1 filter
(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…
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…
Superintegrability on N-dimensional curved spaces: Central potentials, centrifugal terms and monopoles
Angel Ballesteros, Alberto Enciso, Francisco J. Herranz +1
The N-dimensional Hamiltonian H formed by a curved kinetic term (depending on a function f), a central potential (depending on a function U), a Dirac monopole term, and N centrifug…
Hamiltonian systems admitting a Runge-Lenz vector and an optimal extension of Bertrand's theorem to curved manifolds
Angel Ballesteros, Alberto Enciso, Francisco J. Herranz +1
Bertrand's theorem asserts that any spherically symmetric natural Hamiltonian system in Euclidean 3-space which possesses stable circular orbits and whose bounded trajectories are…
Superintegrability on N-dimensional spaces of constant curvature from so(N+1) and its contractions
Francisco J. Herranz, Angel Ballesteros
The Lie-Poisson algebra so(N+1) and some of its contractions are used to construct a family of superintegrable Hamiltonians on the ND spherical, Euclidean, hyperbolic, Minkowskian…