Separation of variables and superintegrability on Riemannian coverings
DOI10.3842/sigma.2023.062arXiv2208.12690MaRDI QIDQ6076421
Giovanni Rastelli, Claudia Maria Chanu
Publication date: 21 September 2023
Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2208.12690
integrable systemharmonic oscillatorKilling tensorKepler-Coulomb systemTremblay-Turbiner-Winternitz systemHamilton-Jacobi equation: Killing vector
Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Hamilton-Jacobi equations in mechanics (70H20) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45)
Cites Work
- Unnamed Item
- Unnamed Item
- Extended Hamiltonians, coupling-constant metamorphosis and the Post-Winternitz system
- Three-dimensional orbifolds and cone-manifolds
- Extended Hamiltonians and shift, ladder functions and operators
- Eigenvalues of Killing tensors and separable webs on Riemannian and pseudo-Riemannian manifolds
- Classical and quantum superintegrability with applications
- The Tremblay-Turbiner-Winternitz system as extended Hamiltonian
- An infinite family of superintegrable deformations of the Coulomb potential
- An infinite family of solvable and integrable quantum systems on a plane
- Two-dimensional Riemannian metrics with integrable geodesic flows. Local and global geometry
- Intrinsic characterization of the variable separation in the Hamilton–Jacobi equation
- Remarks on the connection between the additive separation of the Hamilton–Jacobi equation and the multiplicative separation of the Schrödinger equation. I. The completeness and Robertson conditions
- Remarks on the connection between the additive separation of the Hamilton–Jacobi equation and the multiplicative separation of the Schrödinger equation. II. First integrals and symmetry operators
- Elizabethan vortices *
This page was built for publication: Separation of variables and superintegrability on Riemannian coverings
