93 citations · 2.1k across the 117 of their papers we have counts for
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Integrable deformations of oscillator chains from quantum algebras
Angel Ballesteros, Francisco J. Herranz
A family of completely integrable nonlinear deformations of systems of N harmonic oscillators are constructed from the non-standard quantum deformation of the sl(2,R) algebra. Expl…
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…
(1+1) Schrodinger Lie bialgebras and their Poisson-Lie groups
Angel Ballesteros, Francisco J. Herranz, Preeti Parashar
All Lie bialgebra structures for the (1+1)-dimensional centrally extended Schrodinger algebra are explicitly derived and proved to be of the coboundary type. Therefore, since all o…
Quantum (1+1) extended Galilei algebras: from Lie bialgebras to quantum R-matrices and integrable systems
Angel Ballesteros, Enrico Celeghini, Francisco J. Herranz
The Lie bialgebras of the (1+1) extended Galilei algebra are obtained and classified into four multiparametric families. Their quantum deformations are obtained, together with the…