73 citations · 136 across the 5 of their papers we have counts for
4 papers · 1 filter
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…
On two superintegrable nonlinear oscillators in N dimensions
Angel Ballesteros, Alberto Enciso, Francisco J. Herranz +2
We consider the classical superintegrable Hamiltonian system given by , where U is known to be the "intrinsic" oscillator potential o…
A Family of Exactly Solvable Radial Quantum Systems on Space of Non-Constant Curvature with Accidental Degeneracy in the Spectrum
Orlando Ragnisco, Danilo Riglioni
A novel family of exactly solvable quantum systems on curved space is presented. The family is the quantum version of the classical Perlick family, which comprises all maximally su…