Complete sets of invariants for dynamical systems that admit a separation of variables
From MaRDI portal
Publication:4832679
DOI10.1063/1.1484540zbMath1060.70027OpenAlexW2142080067MaRDI QIDQ4832679
Ernest G. Kalnins, Willard jun. Miller, George S. Pogosyan, Jonathan M. Kress
Publication date: 14 December 2004
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://hdl.handle.net/10289/1189
Hamilton's equations (70H05) Hamilton-Jacobi equations in mechanics (70H20) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33)
Related Items
Unified treatment and classification of superintegrable systems with integrals quadratic in momenta on a two-dimensional manifold ⋮ On the superintegrability of TTW model ⋮ The Post-Winternitz system on spherical and hyperbolic spaces: a proof of the superintegrability making use of complex functions and a curvature-dependent formalism ⋮ Quantum superintegrable systems with quadratic integrals on a two dimensional manifold ⋮ Transformation of the Stäckel matrices preserving superintegrability ⋮ Superintegrable systems with a position dependent mass: Kepler-related and oscillator-related systems ⋮ Umbral calculus, difference equations and the discrete Schrödinger equation
Cites Work
- Complex Euclidean super-integrable potentials, potentials of Drach, and potential of Holt
- Third rank Killing tensors in general relativity. The \((1+1)\)-dimensional case
- Separable systems of Stäckel
- Completeness of superintegrability in two-dimensional constant-curvature spaces
- Special case of the separation of variables in the multidimensional Schrodinger equation
- Killing Tensors and Variable Separation for Hamilton-Jacobi and Helmholtz Equations
- Group theory of the Smorodinsky–Winternitz system
- Superintegrability and associated polynomial solutions: Euclidean space and the sphere in two dimensions
- Enumeration of Potentials for Which One-Particle Schroedinger Equations Are Separable