73 citations · 231 across the 11 of their papers we have counts for
4 papers · 1 filter
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…
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…