A generalisation of the Runge-Lenz constant of classical motion in a central potential

DOI10.1088/0305-4470/23/5/017zbMath0706.70009OpenAlexW2003360043MaRDI QIDQ3486895

A. Holas, Norman H. March

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1088/0305-4470/23/5/017

zbMATH Keywords

isotropic harmonic oscillatorgeneralisation of the Runge-Lenz vectorKepler potentialperihelion (unit) vector

Mathematics Subject Classification ID

Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Two-body problems (70F05)

Related Items

Complex Representation of Planar Motions and Conserved Quantities of the Kepler and Hooke Problems, Superintegrable systems on 3-dimensional curved spaces: Eisenhart formalism and separability, Fradkin-Bacry-Ruegg-Souriau perihelion vector for Gorringe-Leach equations, Quasi-bi-Hamiltonian structures and superintegrability: study of a Kepler-related family of systems endowed with generalized Runge-Lenz integrals of motion, Superintegrable systems with a position dependent mass: Kepler-related and oscillator-related systems, Unconventional approach to orbital-free density functional theory derived from a model of extended electrons, Replica symmetry breaking in trajectory space for diffusion in logarithmically correlated random potentials, Hamiltonian systems admitting a Runge-Lenz vector and an optimal extension of Bertrand's theorem to curved manifolds, Laplace–Runge–Lenz symmetry in general rotationally symmetric systems, Center-of-mass and internal symmetries in classical relativistic systems, On perturbed oscillators in 1-1-1 resonance: The case of axially symmetric cubic potentials