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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…