Higher order first integrals in classical mechanics
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Publication:3544473
DOI10.1063/1.2789555zbMath1152.81477OpenAlexW1976721130MaRDI QIDQ3544473
Publication date: 8 December 2008
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.2789555
Hamilton's equations (70H05) 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)
Related Items (7)
Cubic first integrals of autonomous dynamical systems in E2 by an algorithmic approach ⋮ Integrable and superintegrable extensions of the rational Calogero–Moser model in three dimensions ⋮ Stationary flows revisited ⋮ Higher order first integrals of autonomous dynamical systems ⋮ HIGHER ORDER FIRST INTEGRALS OF MOTION IN A GAUGE COVARIANT HAMILTONIAN FRAMEWORK ⋮ Superintegrable three-body systems on the line ⋮ Integrable time-dependent central potentials
Cites Work
- Invariant classification of orthogonally separable Hamiltonian systems in Euclidean space
- Quadratic and cubic invariants in classical mechanics
- Killing tensors as irreducible representations of the general linear group
- Separable systems of Stäckel
- Covariants, joint invariants and the problem of equivalence in the invariant theory of Killing tensors defined in pseudo-Riemannian spaces of constant curvature
- Second-order superintegrable systems in conformally flat spaces. V. Two- and three-dimensional quantum systems
- A class of superintegrable systems of Calogero type
- Polynomial Poisson algebras for classical superintegrable systems with a third-order integral of motion
- Construction of new integrable Hamiltonians in two degrees of freedom
- Intrinsic characterization of the variable separation in the Hamilton–Jacobi equation
- Non-symplectic symmetries and bi-Hamiltonian structures of the rational harmonic oscillator
- Superintegrability with third-order integrals in quantum and classical mechanics
- Hamiltonians separable in Cartesian coordinates and third-order integrals of motion
- On the Problem of Degeneracy in Quantum Mechanics
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