More on superintegrable models on spaces of constant curvature
DOI10.1134/S1560354722050045MaRDI QIDQ2093118
Wioletta Szczesek, Bartosz M. Zawora, Joanna Gonera, Cezary Gonera, Javier de Lucas
Publication date: 4 November 2022
Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2207.08935
sphereintegrable systemscurvatureEuclidean planehyperbolic planeaction-angle variablessuperintegrable systems
Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Relations of finite-dimensional Hamiltonian and Lagrangian systems with topology, geometry and differential geometry (symplectic geometry, Poisson geometry, etc.) (37J39)
Cites Work
- Unnamed Item
- Unnamed Item
- Superintegrable systems on spaces of constant curvature
- A unified approach to quantum and classical TTW systems based on factorizations
- Superintegrable system on a sphere with the integral of higher degree
- Integrable generalizations of oscillator and Coulomb systems via action-angle variables
- Superintegrable systems with algebraic and rational integrals of motion
- The Kepler problem: polynomial algebra of nonpolynomial first integrals
- New superintegrable models on spaces of constant curvature
- On the superintegrability of TTW model
- Superintegrable generalizations of the Kepler and Hook problems
- Superintegrable systems on a sphere
- Quadratic Poisson algebras of two-dimensional classical superintegrable systems and quadratic associative algebras of quantum superintegrable systems
- Extensions of Hamiltonian systems dependent on a rational parameter
- General Nth-order superintegrable systems separating in polar coordinates
- Necessary conditions for classical super-integrability of a certain family of potentials in constant curvature spaces
- Second-order superintegrable systems in conformally flat spaces. I. Two-dimensional classical structure theory
- Comment on “Central potentials on spaces of constant curvature: The Kepler problem on the two-dimensional sphere S2 and the hyperbolic plane H2” [J. Math. Phys. 46, 052702 (2005)]
- An infinite family of superintegrable deformations of the Coulomb potential
- An infinite family of solvable and integrable quantum systems on a plane
- Dynamical symmetries in a spherical geometry. I
- Search for periodic Hamiltonian flows: A generalized Bertrand’s theorem
- Dynamical symmetries in a spherical geometry. II
- Superintegrable systems on the two-dimensional sphere S2 and the hyperbolic plane H2
- On harmonic oscillators on the two-dimensional sphere S2 and the hyperbolic plane H2
- On harmonic oscillators on the two-dimensional sphere S2 and the hyperbolic plane H2. II.
- Periodic orbits for an infinite family of classical superintegrable systems
- Superintegrability on the three-dimensional spaces with curvature. Oscillator-related and Kepler-related systems on the sphere S 3 and on the hyperbolic space H 3
This page was built for publication: More on superintegrable models on spaces of constant curvature