Classical spectrum generating algebra of the Kepler-Coulomb system and action-angle variables

DOI10.1016/j.physleta.2011.12.001zbMath1255.70018OpenAlexW2044132748MaRDI QIDQ1933071

Yanyan Li

Publication date: 22 January 2013

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2011.12.001

zbMATH Keywords

factorization methodaction-angle variablesPoisson algebras of one-dimensional classical systemstime-dependent integrals of motion

Mathematics Subject Classification ID

Hamilton-Jacobi equations in mechanics (70H20) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33)

Related Items (5)

Resonances and antibound states for the Pöschl-Teller potential: ladder operators and SUSY partners ⋮ Action-angle variables, ladder operators and coherent states ⋮ The Perlick system type I: from the algebra of symmetries to the geometry of the trajectories ⋮ Classical ladder functions for Rosen-Morse and curved Kepler-Coulomb systems ⋮ A unified approach to quantum and classical TTW systems based on factorizations

Cites Work

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• Study of classical mechanical systems with complex potentials
• Generalized Heisenberg algebras, SUSYQM and degeneracies: infinite well and Morse potential
• Classical motion and coherent states for Pöschl-Teller potentials
• Group theory approach to scattering
• Dynamical algebras for Pöschl-Teller Hamiltonian hierarchies
• Factorizations of one-dimensional classical systems
• Coherent states for systems with discrete and continuous spectrum
• Refined factorizations of solvable potentials
• Construction of classical superintegrable systems with higher order integrals of motion from ladder operators
• Electromagnetic boundary conditions in multipole theory
• SUSY approach to Pauli Hamiltonians with an axial symmetry
• The Factorization Method

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