93 citations · 2.1k across the 117 of their papers we have counts for
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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…
The group structure of dynamical transformations between quantum reference frames
Angel Ballesteros, Flaminia Giacomini, Giulia Gubitosi
Recently, it was shown that when reference frames are associated to quantum systems, the transformation laws between such quantum reference frames need to be modified to take into…
The anisotropic oscillator on curved spaces: A new exactly solvable model
Angel Ballesteros, Francisco J. Herranz, Sengul Kuru +1
We present a new exactly solvable (classical and quantum) model that can be interpreted as the generalization to the two-dimensional sphere and to the hyperbolic space of the two-d…
Superintegrable quantum oscillator and Kepler-Coulomb systems on curved spaces
Angel Ballesteros, Alberto Enciso, Francisco J. Herranz +2
An overview of maximally superintegrable classical Hamitonians on spherically symmetric spaces is presented. It turns out that each of these systems can be considered either as an…
Quantum mechanics on spaces of nonconstant curvature: the oscillator problem and superintegrability
Angel Ballesteros, Alberto Enciso, Francisco J. Herranz +2
The full spectrum and eigenfunctions of the quantum version of a nonlinear oscillator defined on an N-dimensional space with nonconstant curvature are rigorously found. Since the u…
A new exactly solvable quantum model in N dimensions
Angel Ballesteros, Alberto Enciso, Francisco J. Herranz +2
An N-dimensional position-dependent mass Hamiltonian (depending on a parameter λ) formed by a curved kinetic term and an intrinsic oscillator potential is considered. It is shown t…