Superintegrability on N-dimensional curved spaces: Central potentials, centrifugal terms and monopoles
The N-dimensional Hamiltonianis shown to be quasi-maximally superintegrable for any
choice of the functions f and U. This result is proven by making use of the underlying sl (2, R) …
choice of the functions f and U. This result is proven by making use of the underlying sl (2, R) …
Universal integrals for superintegrable systems on N-dimensional spaces of constant curvature
A Ballesteros, FJ Herranz - Journal of Physics A: Mathematical …, 2006 - iopscience.iop.org
An infinite family of classical superintegrable Hamiltonians defined on the N-dimensional
spherical, Euclidean and hyperbolic spaces are shown to have a common set of (2N− 3) …
spherical, Euclidean and hyperbolic spaces are shown to have a common set of (2N− 3) …
From constants of motion to superposition rules for Lie–Hamilton systems
A Lie system is a non-autonomous system of first-order differential equations possessing a
superposition rule, ie a map expressing its general solution in terms of a generic finite family …
superposition rule, ie a map expressing its general solution in terms of a generic finite family …
Maximal superintegrability of the generalized Kepler–Coulomb system on N-dimensional curved spaces
Á Ballesteros, FJ Herranz - Journal of Physics A: Mathematical …, 2009 - iopscience.iop.org
The superposition of the Kepler–Coulomb potential on the 3D Euclidean space with three
centrifugal terms has recently been shown to be maximally superintegrable (Verrier and …
centrifugal terms has recently been shown to be maximally superintegrable (Verrier and …
A maximally superintegrable system on an n-dimensional space of nonconstant curvature
We present a novel Hamiltonian system in n dimensions which admits the maximal number
2n− 1 of functionally independent, quadratic first integrals. This system turns out to be the …
2n− 1 of functionally independent, quadratic first integrals. This system turns out to be the …
The quantum free particle on spherical and hyperbolic spaces: A curvature dependent approach
The quantum free particle on spherical and hyperbolic spaces: A curvature dependent approach
| Journal of Mathematical Physics | AIP Publishing Skip to Main Content Umbrella Alt Text …
| Journal of Mathematical Physics | AIP Publishing Skip to Main Content Umbrella Alt Text …
The anisotropic oscillator on curved spaces: a new exactly solvable model
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 …
the generalization to the two-dimensional sphere and to the hyperbolic space of the two …
The anisotropic oscillator on the 2D sphere and the hyperbolic plane
The anisotropic oscillator on the 2D sphere and the hyperbolic plane Page 1 Nonlinearity
PAPER The anisotropic oscillator on the 2D sphere and the hyperbolic plane To cite this article …
PAPER The anisotropic oscillator on the 2D sphere and the hyperbolic plane To cite this article …
(Super) integrability from coalgebra symmetry: formalism and applications
The coalgebra approach to the construction of classical integrable systems from Poisson
coalgebras is reviewed, and the essential role played by symplectic realizations in this …
coalgebras is reviewed, and the essential role played by symplectic realizations in this …
Superintegrable Lissajous systems on the sphere
The kind of systems on the sphere, whose trajectories are similar to the Lissajous curves, is
studied by means of one example. The symmetries are constructed following a unified and …
studied by means of one example. The symmetries are constructed following a unified and …