93 citations · 2.1k across the 117 of their papers we have counts for
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Quantum two-photon algebra from non-standard U_z(sl(2,R)) and a discrete time Schrödinger equation
Angel Ballesteros, Francisco J. Herranz, Preeti Parashar
The non-standard quantum deformation of the (trivially) extended sl(2,R) algebra is used to construct a new quantum deformation of the two-photon algebra h_6 and its associated qua…
A Jordanian quantum two-photon/Schrodinger algebra
Angel Ballesteros, Francisco J. Herranz, Preeti Parashar
A non-standard quantum deformation of the two-photon algebra is constructed, and its quantum universal R-matrix is given. Representations of this new quantum algebra are stud…
Contractions on the Classical Double
Angel Ballesteros, Mariano del Olmo
Lie algebra contractions on the classical Drinfel'd Double of a given Lie bialgebra are introduced and compared to the usual Lie bialgebra contraction theory. The connection betwee…
Harmonic Oscillator Lie Bialgebras and their Quantization
Angel Ballesteros, Francisco J. Herranz
All possible Lie bialgebra structures on the harmonic oscillator algebra are explicitly derived and it is shown that all of them are of the coboundary type. A non-standard quantum…