73 citations · 231 across the 11 of their papers we have counts for
8 papers · 1 filter
The classical Darboux III oscillator: factorization, Spectrum Generating Algebra and solution to the equations of motion
Angel Ballesteros, Alberto Enciso, Francisco J. Herranz +3
In a recent paper the so-called Spectrum Generating Algebra (SGA) technique has been applied to the N-dimensional Taub-NUT system, a maximally superintegrable Hamiltonian system wh…
Quantum Integrals from Coalgebra Structure
Sarah Post, Danilo Riglioni
Quantum versions of the hydrogen atom and the harmonic oscillator are studied on non Euclidean spaces of dimension N. 2N-1 integrals, of arbitrary order, are constructed via a mult…
An exactly solvable deformation of the Coulomb problem associated with the Taub-NUT metric
Angel Ballesteros, Alberto Enciso, Francisco J. Herranz +2
In this paper we quantize the -dimensional classical Hamiltonian system , that can be regarded as a deformation of the Coulomb prob…
Classical and quantum higher order superintegrable systems from coalgebra symmetry
D. Riglioni
The N-dimensional generalization of Bertrand spaces as families of Maximally superintegrable systems on spaces with nonconstant curvature is analyzed. Considering the classificatio…
Superintegrable Oscillator and Kepler Systems on Spaces of Nonconstant Curvature via the Stäckel Transform
Angel Ballesteros, Alberto Enciso, Francisco J. Herranz +2
The Stäckel transform is applied to the geodesic motion on Euclidean space, through the harmonic oscillator and Kepler-Coloumb potentials, in order to obtain maximally superintegra…
New superintegrable models with position-dependent mass from Bertrand's Theorem on curved spaces
Angel Ballesteros, Alberto Enciso, Francisco J. Herranz +2
A generalized version of Bertrand's theorem on spherically symmetric curved spaces is presented. This result is based on the classification of (3+1)-dimensional (Lorentzian) Bertra…