56 citations · 304 across the 21 of their papers we have counts for
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Discretizations of the Schrödinger equation with quantum algebra symmetry
A. Ballesteros, F. J. Herranz, P. Parashar
Two quantum Hopf structures for the Schrödinger algebra as well as their corresponding differential-difference realizations are presented. For each case a (space or time) discretiz…
Null-plane Quantum Universal -matrix
A. Ballesteros, F. J. Herranz, C. M. Pereña
A non-linear map is applied onto the (non-standard) null-plane deformation of (3+1) Poincaré algebra giving rise to a simpler form of this triangular quantization. A universal -…
Universal --matrices for non-standard (1+1) quantum groups
A. Ballesteros, E. Celeghini, F. J. Herranz +2
A universal quasitriangular --matrix for the non-standard quantum (1+1) Poincaré algebra is deduced by imposing analyticity in the deformation parameter . A fam…
Non-standard quantum (1+1) Poincaré group: a --matrix approach
A. Ballesteros, F. J. Herranz, M. A. del Olmo +2
The Hopf algebra dual form for the non--standard uniparametric deformation of the (1+1) Poincaré algebra is deduced. In this framework, the quantum coordinates that gene…