306 citations · 1k across the 44 of their papers we have counts for
4 papers · 1 filter
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…
(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 harmonic oscillator algebras as non-relativistic limits of multiparametric quantizations
Angel Ballesteros, Francisco J. Herranz, Preeti Parashar
Multiparametric quantum algebras are presented according to a classification based on their corresponding Lie bialgebra structures. From them, the non-relativistic limit le…
Multiparametric quantum gl(2): Lie bialgebras, quantum R-matrices and non-relativistic limits
Angel Ballesteros, Francisco J. Herranz, Preeti Parashar
Multiparametric quantum deformations of are studied through a complete classification of Lie bialgebra structures. From them, the non-relativistic limit leading to…