Publications (92)
Superintegrability on N-dimensional spaces of constant curvature from so(N+1) and its contractions
Francisco J. Herranz, Angel Ballesteros
A new Doubly Special Relativity theory from a quantum Weyl-Poincare algebra
Angel Ballesteros, N. Rossano Bruno, Francisco J. Herranz
Classification of real three-dimensional Poisson-Lie groups
Angel Ballesteros, Alfonso Blasco, Fabio Musso
Superintegrability on sl(2)-coalgebra spaces
Angel Ballesteros, Francisco J. Herranz, Orlando Ragnisco
Towards (3+1) gravity through Drinfel'd doubles with cosmological constant
Angel Ballesteros, Francisco J. Herranz, Pedro Naranjo
(1+1) Schrodinger Lie bialgebras and their Poisson-Lie groups
Angel Ballesteros, Francisco J. Herranz, Preeti Parashar
A systematic construction of completely integrable Hamiltonians from coalgebras
Angel Ballesteros, Orlando Ragnisco
Integrable Henon-Heiles Hamiltonians: a Poisson algebra approach
Angel Ballesteros, Alfonso Blasco
Quantum two-photon algebra from non-standard U_z(sl(2,R)) and a discrete time Schrödinger equation
Angel Ballesteros, Francisco J. Herranz, Preeti Parashar
The classical Darboux III oscillator: factorization, Spectrum Generating Algebra and solution to the equations of motion
Angel Ballesteros, Alberto Enciso, Francisco J. Herranz +3
Two-photon algebra deformations
Preeti Parashar, Angel Ballesteros, Francisco J. Herranz
On 3+1 anti-de Sitter and de Sitter Lie bialgebras with dimensionful deformation parameters
Angel Ballesteros, N. Rossano Bruno, Francisco J. Herranz
Quantum Heisenberg--Weyl Algebras
Angel Ballesteros, Francisco J. Herranz, Preeti Parashar
Quantum algebras as quantizations of dual Poisson-Lie groups
Angel Ballesteros, Fabio Musso
(2+1) null-plane quantum Poincaré group from a factorized universal $R$-matrix
Angel Ballesteros, Francisco J. Herranz
A curved Henon-Heiles system and its integrable perturbations
Angel Ballesteros, Alfonso Blasco, Francisco J. Herranz
Integrable deformations of oscillator chains from quantum algebras
Angel Ballesteros, Francisco J. Herranz
Integrable deformations of Hamiltonian systems and q-symmetries
Angel Ballesteros, Francisco J. Herranz
On quantum algebra symmetries of discrete Schrödinger equations
Angel Ballesteros, Francisco J. Herranz, Javier Negro +1
Noncommutative spaces of worldlines
Angel Ballesteros, Ivan Gutierrez-Sagredo, Francisco J. Herranz
An integrable Henon-Heiles system on the sphere and the hyperbolic plane
Angel Ballesteros, Alfonso Blasco, Francisco J. Herranz +1
The Kepler problem on 3D spaces of variable and constant curvature from quantum algebras
Angel Ballesteros, Francisco J. Herranz
Bertrand spacetimes as Kepler/oscillator potentials
Angel Ballesteros, Alberto Enciso, Francisco J. Herranz +1
Classical Dynamical Systems from q-algebras:"cluster" variables and explicit solutions
Angel Ballesteros, Orlando Ragnisco
Lie bialgebra quantizations of the oscillator algebra and their universal $R$--matrices
Angel Ballesteros, Francisco J. Herranz
Harmonic Oscillator Lie Bialgebras and their Quantization
Angel Ballesteros, Francisco J. Herranz
Integrable deformations of Lotka-Volterra systems
Angel Ballesteros, Alfonso Blasco, Fabio Musso
Multiboson Expansions for the q-Oscillator and $SU(1,1)_q$
Angel Ballesteros, Javier Negro
Curvature from quantum deformations
Angel Ballesteros, Francisco J. Herranz, Orlando Ragnisco
From Lorentzian to Galilean (2+1) gravity: Drinfel'd doubles, quantisation and noncommutative spacetimes
Angel Ballesteros, Francisco J. Herranz, Pedro Naranjo
The kappa-(A)dS quantum algebra in (3+1) dimensions
Angel Ballesteros, Francisco J. Herranz, Fabio Musso +1
A new exactly solvable quantum model in N dimensions
Angel Ballesteros, Alberto Enciso, Francisco J. Herranz +2
Poisson-Lie groups, bi-Hamiltonian systems and integrable deformations
Angel Ballesteros, Juan Carlos Marrero, Zohreh Ravanpak
Quantum (1+1) extended Galilei algebras: from Lie bialgebras to quantum R-matrices and integrable systems
Angel Ballesteros, Enrico Celeghini, Francisco J. Herranz
A maximally superintegrable system on an n-dimensional space of nonconstant curvature
Angel Ballesteros, Alberto Enciso, Francisco J. Herranz +1
On two superintegrable nonlinear oscillators in N dimensions
Angel Ballesteros, Alberto Enciso, Francisco J. Herranz +2
A (2+1) non-commutative Drinfel'd double spacetime with cosmological constant
Angel Ballesteros, Francisco J. Herranz, Catherine Meusburger
The anisotropic oscillator on the two-dimensional sphere and the hyperbolic plane
Angel Ballesteros, Francisco J. Herranz, Fabio Musso
Maximal superintegrability of the generalized Kepler--Coulomb system on N-dimensional curved spaces
Angel Ballesteros, Francisco J. Herranz
Integrable deformations of Rössler and Lorenz systems from Poisson-Lie groups
Angel Ballesteros, Alfonso Blasco, Fabio Musso
Curved momentum spaces from quantum (Anti-)de Sitter groups in (3+1) dimensions
Angel Ballesteros, Giulia Gubitosi, Iván Gutiérrez-Sagredo +1
Exactly solvable deformations of the oscillator and Coulomb systems and their generalization
Angel Ballesteros, Alberto Enciso, Francisco J. Herranz +2
Multiparametric quantum gl(2): Lie bialgebras, quantum R-matrices and non-relativistic limits
Angel Ballesteros, Francisco J. Herranz, Preeti Parashar
Quantum harmonic oscillator algebras as non-relativistic limits of multiparametric $gl(2)$ quantizations
Angel Ballesteros, Francisco J. Herranz, Preeti Parashar
Curvature as an integrable deformation
Angel Ballesteros, Alfonso Blasco, Francisco J. Herranz
Non-coboundary Poisson-Lie structures on the book group
Angel Ballesteros, Alfonso Blasco, Fabio Musso
A Jordanian quantum two-photon/Schrodinger algebra
Angel Ballesteros, Francisco J. Herranz, Preeti Parashar
A maximally superintegrable deformation of the N-dimensional quantum Kepler-Coulomb system
Angel Ballesteros, Alberto Enciso, Francisco J. Herranz +2
Integrable potentials on spaces with curvature from quantum groups
Angel Ballesteros, Francisco J. Herranz, Orlando Ragnisco
N-dimensional integrability from two-photon coalgebra symmetry
Angel Ballesteros, Alfonso Blasco, Francisco J. Herranz
On the spectrum of a Hamiltonian defined on su_q(2) and quantum optical models
Angel Ballesteros, Sergei M. Chumakov
Contractions on the Classical Double
Angel Ballesteros, Mariano del Olmo
Cayley-Klein Poisson homogeneous spaces
Francisco J. Herranz, Angel Ballesteros, Ivan Gutierrez-Sagredo +1
Drinfel'd double structures for Poincaré and Euclidean groups
Ivan Gutierrez-Sagredo, Angel Ballesteros, Francisco J. Herranz
Superintegrable quantum oscillator and Kepler-Coulomb systems on curved spaces
Angel Ballesteros, Alberto Enciso, Francisco J. Herranz +2
Superintegrability on Three-Dimensional Riemannian and Relativistic Spaces of Constant Curvature
Francisco J. Herranz, Angel Ballesteros
Effective su_q(2) models and polynomial algebras for fermion-boson Hamiltonians
Angel Ballesteros, Osvaldo Civitarese, Francisco J. Herranz +1
Three-dimensional gravity and Drinfel'd doubles: spacetimes and symmetries from quantum deformations
Angel Ballesteros, Francisco J. Herranz, Catherine Meusburger
Superintegrable potentials on 3D Riemannian and Lorentzian spaces with non-constant curvature
Angel Ballesteros, Alberto Enciso, Francisco J. Herranz +1
New superintegrable models with position-dependent mass from Bertrand's Theorem on curved spaces
Angel Ballesteros, Alberto Enciso, Francisco J. Herranz +2
Comodule algebras and integrable systems
Angel Ballesteros, Fabio Musso, Orlando Ragnisco
Extended noncommutative Minkowski spacetimes and hybrid gauge symmetries
Angel Ballesteros, Flavio Mercati
A unified approach to Poisson-Hopf deformations of Lie-Hamilton systems based on sl(2)
Angel Ballesteros, Rutwig Campoamor-Stursberg, Eduardo Fernandez-Saiz +2
An exactly solvable deformation of the Coulomb problem associated with the Taub-NUT metric
Angel Ballesteros, Alberto Enciso, Francisco J. Herranz +2
A non-commutative Minkowskian spacetime from a quantum AdS algebra
Angel Ballesteros, N Rossano Bruno, Francisco J. Herranz
Quantum (anti)de Sitter algebras and generalizations of the kappa-Minkowski space
Angel Ballesteros, N. Rossano Bruno, Francisco J. Herranz
Factorization approach to superintegrable systems: Formalism and applications
Angel Ballesteros, Francisco J. Herranz, Sengul Kuru +1
Superintegrable anharmonic oscillators on N-dimensional curved spaces
Angel Ballesteros, Alberto Encisco, Francisco J. Herranz +1
Universal integrals for superintegrable systems on N-dimensional spaces of constant curvature
Angel Ballesteros, Francisco J. Herranz
Drinfel'd doubles for (2+1)-gravity
Angel Ballesteros, Francisco J. Herranz, Catherine Meusburger
Boson representations, non-standard quantum algebras and contractions
Angel Ballesteros, Francisco J. Herranz, Javier Negro
Quantum Deformations and Superintegrable Motions on Spaces with Variable Curvature
Orlando Ragnisco, Angel Ballesteros, Francisco J. Herranz +1
The $κ$-(A)dS noncommutative spacetime
Angel Ballesteros, Ivan Gutierrez-Sagredo, Francisco J. Herranz
A new integrable anisotropic oscillator on the two-dimensional sphere and the hyperbolic plane
Angel Ballesteros, Alfonso Blasco, Francisco J. Herranz +1
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
Poisson-Hopf algebra deformations of Lie-Hamilton systems
Angel Ballesteros, Rutwig Campoamor-Stursberg, Eduardo Fernandez-Saiz +2
N-dimensional sl(2)-coalgebra spaces with non-constant curvature
Angel Ballesteros, Alberto Enciso, Francisco J. Herranz +1
The Poincaré group as a Drinfel'd double
Angel Ballesteros, Ivan Gutierrez-Sagredo, Francisco J. Herranz
The anisotropic oscillator on curved spaces: A new exactly solvable model
Angel Ballesteros, Francisco J. Herranz, Sengul Kuru +1
Integrable perturbations of the N-dimensional isotropic oscillator
Angel Ballesteros, Alfonso Blasco
Non-commutative relativistic spacetimes and worldlines from 2+1 quantum (anti-)de Sitter groups
Angel Ballesteros, N. Rossano Bruno, Francisco J. Herranz
(Super)integrability from coalgebra symmetry: formalism and applications
Angel Ballesteros, Alfonso Blasco, Francisco J. Herranz +2
Long range integrable oscillator chains from quantum algebras
Angel Ballesteros, Francisco J. Herranz
Quantum mechanics on spaces of nonconstant curvature: the oscillator problem and superintegrability
Angel Ballesteros, Alberto Enciso, Francisco J. Herranz +2
Contractions, deformations and curvature
Angel Ballesteros, Francisco J. Herranz, Orlando Ragnisco +1
Superintegrable Oscillator and Kepler Systems on Spaces of Nonconstant Curvature via the Stäckel Transform
Angel Ballesteros, Alberto Enciso, Francisco J. Herranz +2
Superintegrability on N-dimensional curved spaces: Central potentials, centrifugal terms and monopoles
Angel Ballesteros, Alberto Enciso, Francisco J. Herranz +1
AdS Poisson homogeneous spaces and Drinfel'd doubles
Angel Ballesteros, Catherine Meusburger, Pedro Naranjo
Universal $R$-matrix for non-standard quantum $sl(2,\R)$
Angel Ballesteros, Francisco J. Herranz
Maximally superintegrable Smorodinsky-Winternitz systems on the N-dimensional sphere and hyperbolic spaces
Francisco J. Herranz, Angel Ballesteros, Mariano Santander +1
Integrable geodesic motion on 3D curved spaces from non-standard quantum deformations
Angel Ballesteros, Francisco J. Herranz, Orlando Ragnisco
On quantum deformations of (anti-)de Sitter algebras in (2+1) dimensions
Angel Ballesteros, Francisco J. Herranz, Fabio Musso