73 citations · 2.5k across the 138 of their papers we have counts for
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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…
Exactly solvable deformations of the oscillator and Coulomb systems and their generalization
Angel Ballesteros, Alberto Enciso, Francisco J. Herranz +2
We present two maximally superintegrable Hamiltonian systems and that are defined, respectively, on an -dimensional spherically symmetric generalizatio…
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…