Note on Superintegrability of TTW model

Abstract

The superintegrability of recently discussed TTW model is proven using standard methods of analytical mechanic.

5 pages, 0 figures; misprints corrected

References in corpus (5)

• An infinite family of solvable and integrable quantum systems on a plane
• Superintegrability and higher order constants for classical and quantum systems
• Periodic orbits for an infinite family of classical superintegrable systems
• Superintegrability of the Tremblay-Turbiner-Winternitz quantum Hamiltonians on a plane for odd $k$
• Action-angle variables for dihedral systems on the circle

Cited by in corpus (27)

• Classical and Quantum Superintegrability with Applications
• The anisotropic oscillator on curved spaces: A new exactly solvable model
• Integrable generalizations of oscillator and Coulomb systems via action-angle variables
• Fourth order superintegrable systems separating in Polar Coordinates. I. Exotic Potentials
• The Tremblay-Turbiner-Winternitz system on spherical and hyperbolic spaces : Superintegrability, curvature-dependent formalism and complex factorization
• Higher-order superintegrability of separable potentials with a new approach to the Post-Winternitz system
• On superintegrable systems separable in Cartesian coordinates
• Superintegrable systems on spaces of constant curvature
• A new approach to the higher-order superintegrability of the Tremblay-Turbiner-Winternitz system
• Near-horizon dynamics of particle in extreme Reissner-Nordström and Clément-Gal'tsov black hole backgrounds: action-angle variables
• Quantum Integrals from Coalgebra Structure
• Fourth-order superintegrable systems separating in Polar Coordinates. II. Standard Potentials
• Structure Theory for Extended Kepler-Coulomb 3D Classical Superintegrable Systems
• Superintegrable deformations of superintegrable systems : Quadratic superintegrability and higher-order superintegrability
• Lobachevsky geometry in TTW and PW systems
• Are all classical superintegrable systems in two-dimensional space linearizable?
• New superintegrable models on spaces of constant curvature
• Transformation of the Stackel matrices preserving superintegrability
• Quantum, classical symmetries and action-angle variables by factorization of superintegrable systems
• Dynamics on the cone: closed orbits and superintegrability
• Superintegrability and Deformed Oscillator Realizations of Quantum TTW Hamiltonians on Constant-Curvature Manifolds and with Reflections in a Plane
• Action-Angle Variables In Conformal Mechanics
• Superintegrable systems with position dependent mass: master symmetry and action-angle methods
• More on superintegrable models on spaces of constant curvature
• Superintegrability of the Post-Winternitz system on spherical and hyperbolic spaces
• Suslov problem with the Klebsh-Tisserand potential
• Superintegrable deformations of oscillator and Coulomb systems