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solv-int1999
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…
math.QA1999
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…
math.QA1999
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…