Commensurate harmonic oscillators: Classical symmetries

DOI10.1063/1.1488672zbMath1060.70026arXivmath-ph/0111045OpenAlexW1986787179MaRDI QIDQ4832710

Jean-Pierre Amiet, Stefan Weigert

Publication date: 14 December 2004

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0111045

Mathematics Subject Classification ID

Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) Symmetries, Lie group and Lie algebra methods for problems in mechanics (70G65)

Related Items (4)

Singular reduction of resonant Hamiltonians ⋮ The anisotropic oscillator on curved spaces: a exactly solvable model ⋮ Curvature as an Integrable Deformation ⋮ Superintegrability of the caged anisotropic oscillator

Cites Work

• Canonical transformations to action and angle variables and their representations in quantum mechanics
• Dynamical groups and spherical potentials in classical mechanics
• On the degeneracy of the Kepler problem
• A note on dinamical symmetries of classical systems
• Symmetry and Degeneracy in Classical Mechanics
• Realizations of Lie Algebras in Classical Mechanics
• Regularization of kepler's problem and the averaging method on a manifold
• On the Problem of Degeneracy in Quantum Mechanics

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