5 citations · 5 across the 1 of their papers we have counts for
6 papers
Quantum (anti)de Sitter algebras and generalizations of the kappa-Minkowski space
Angel Ballesteros, N. Rossano Bruno, Francisco J. Herranz
We present two different quantum deformations for the (anti)de Sitter algebras and groups. The former is a non-standard (triangular) deformation of SO(4,2) realized as the conforma…
N=2 Hamiltonians with sl(2) coalgebra symmetry and their integrable deformations
A. Ballesteros, O. Ragnisco
Two dimensional classical integrable systems and different integrable deformations for them are derived from phase space realizations of classical Poisson coalgebras and th…
Two-photon algebra deformations
Preeti Parashar, Angel Ballesteros, Francisco J. Herranz
In order to obtain a classification of all possible quantum deformations of the two-photon algebra , we introduce its corresponding general Lie bialgebra, which is a coboundar…
Integrable deformations of Hamiltonian systems and q-symmetries
Angel Ballesteros, Francisco J. Herranz
The complete integrability of the hyperbolic Gaudin Hamiltonian and other related integrable systems is shown to be easily derived by taking into account their sl(2,R) coalgebra sy…
On quantum algebra symmetries of discrete Schrödinger equations
Angel Ballesteros, Francisco J. Herranz, Javier Negro +1
Two non-standard quantum deformations of the (1+1) Schrödinger algebra are identified with the symmetry algebras of either a space or time uniform lattice discretization of the Sch…
Long range integrable oscillator chains from quantum algebras
Angel Ballesteros, Francisco J. Herranz
Completely integrable Hamiltonians defining classical mechanical systems of coupled oscillators are obtained from Poisson realizations of Heisenberg--Weyl, harmonic oscillator…