27 citations · 81 across the 6 of their papers we have counts for
6 papers
Superintegrability of 3-dimensional Hamiltonian systems with conformally Euclidean metrics. Oscillator-related and Kepler-related systems
Jose F. Carinena, Manuel F. Ranada, Mariano Santander
We study four particular 3-dimensional natural Hamiltonian systems defined in conformally Euclidean spaces. We prove their superintegrability and we obtain, in the four cases, the…
Superintegrability on the 3-dimensional spaces with curvature. Oscillator-related and Kepler-related systems on the Sphere and on the Hyperbolic space
Jose F. Cariñena, Manuel F. Rañada, Mariano Santander
The superintegrability of several Hamiltonian systems defined on three-dimensional configuration spaces of constant curvature is studied. We first analyze the properties of the Kil…
Superintegrable systems on 3-dimensional curved spaces: Eisenhart formalism and separability
Jose F. Cariñena, Francisco J. Herranz, Manuel F. Rañada
The Eisenhart geometric formalism, which transforms an Euclidean natural Hamiltonian into a geodesic Hamiltonian with one additional degree of freedom, is applie…
Superintegrability of the Post-Winternitz system on spherical and hyperbolic spaces
Manuel F. Ranada
The properties of the Tremblay-Turbiner-Winternitz system (related to the harmonic oscillator) were recently studied on the two-dimensional spherical () and hiperbolic…
A Quantum Quasi-Harmonic Nonlinear Oscillator with an Isotonic Term
Manuel F. Rañada
The properties of a nonlinear oscillator with an additional term , characterizing the isotonic oscillator, are studied. The nonlinearity affects to both the kinetic term a…
The Tremblay-Turbiner-Winternitz system on spherical and hyperbolic spaces : Superintegrability, curvature-dependent formalism and complex factorization
Manuel F. Ranada
The higher-order superintegrability of the Tremblay-Turbiner-Winternitz system (related to the harmonic oscillator) is studied on the two-dimensional spherical and hiperbolic space…