93 citations · 2.1k across the 117 of their papers we have counts for
117 papers
Noncommutative spacetimes versus noncommutative spaces of geodesics
Francisco J. Herranz, Angel Ballesteros, Giulia Gubitosi +1
The aim of this contribution is twofold. First, we show that when two (or more) different quantum groups share the same noncommutative spacetime, such an 'ambiguity' can be resolve…
A general approach to noncommutative spaces from Poisson homogeneous spaces: Applications to (A)dS and Poincaré
Angel Ballesteros, Ivan Gutierrez-Sagredo, Francisco J. Herranz
In this contribution we present a general procedure that allows the construction of noncommutative spaces with quantum group invariance as the quantization of their associated cois…
-Galilean and -Carrollian noncommutative spaces of worldlines
Angel Ballesteros, Giulia Gubitosi, Ivan Gutierrez-Sagredo +1
The noncommutative spacetimes associated to the -Poincaré relativistic symmetries and their "non-relativistic" (Galilei) and "ultra-relativistic" (Carroll) limits are indistingu…
The Dunkl oscillator on a space of nonconstant curvature: an exactly solvable quantum model with reflections
Angel Ballesteros, Amene Najafizade, Hossein Panahi +2
We introduce the Dunkl-Darboux III oscillator Hamiltonian in N dimensions, defined as a deformation of the N-dimensional Dunkl oscillator. This deformation can be interpreted e…
Shannon information entropy for a quantum nonlinear oscillator on a space of non-constant curvature
Angel Ballesteros, Ivan Gutierrez-Sagredo
The so-called Darboux III oscillator is an exactly solvable -dimensional nonlinear oscillator defined on a radially symmetric space with non-constant negative curvature. This os…
All noncommutative spaces of -Poincaré geodesics
Angel Ballesteros, Ivan Gutierrez-Sagredo, Francisco J. Herranz
Noncommutative spaces of geodesics provide an alternative way of introducing noncommutative relativistic kinematics endowed with quantum group symmetry. In this paper we present ex…