33 citations · 316 across the 32 of their papers we have counts for
32 papers
The kappa-(A)dS quantum algebra in (3+1) dimensions
Angel Ballesteros, Francisco J. Herranz, Fabio Musso +1
The quantum duality principle is used to obtain explicitly the Poisson analogue of the kappa-(A)dS quantum algebra in (3+1) dimensions as the corresponding Poisson-Lie structure on…
Integrable deformations of Rössler and Lorenz systems from Poisson-Lie groups
Angel Ballesteros, Alfonso Blasco, Fabio Musso
A method to construct integrable deformations of Hamiltonian systems of ODEs endowed with Lie-Poisson symmetries is proposed by considering Poisson-Lie groups as deformations of Li…
An integrable Henon-Heiles system on the sphere and the hyperbolic plane
Angel Ballesteros, Alfonso Blasco, Francisco J. Herranz +1
We construct a constant curvature analogue on the two-dimensional sphere and the hyperbolic space of the integrable Hénon-Heiles Hamiltonian $\mathc…
A new integrable anisotropic oscillator on the two-dimensional sphere and the hyperbolic plane
Angel Ballesteros, Alfonso Blasco, Francisco J. Herranz +1
A new integrable generalization to the 2D sphere and to the hyperbolic space of the 2D Euclidean anisotropic oscillator Hamiltonian with Rosochatius (centrifugal) terms…
On quantum deformations of (anti-)de Sitter algebras in (2+1) dimensions
Angel Ballesteros, Francisco J. Herranz, Fabio Musso
Quantum deformations of (anti-)de Sitter algebras in (2+1) dimensions are revisited, and several features of these quantum structures are reviewed. In particular, the classificatio…
Quantum algebras as quantizations of dual Poisson-Lie groups
Angel Ballesteros, Fabio Musso
A systematic computational approach for the explicit construction of any quantum Hopf algebra (U_z(g),Δ_z) starting from the Lie bialgebra (g,δ) that gives the first-order deformat…