Time-dependent dynamical symmetry mappings and associated constants of motion for classical particle systems. II

DOI10.1063/1.523286zbMath0367.70003OpenAlexW2089764512MaRDI QIDQ4144228

Gerald H. Katzin, Robert N. Sane, Jack Levine

Publication date: 1977

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

Full work available at URL: https://doi.org/10.1063/1.523286

Mathematics Subject Classification ID

Dynamics of a system of particles, including celestial mechanics (70F99) Lagrange's equations (70H03) General models, approaches, and methods in mechanics of particles and systems (70G99)

Related Items

Characteristic functional structure of infinitesimal symmetry mappings of classical dynamical systems. I. Velocity-dependent mappings of second-order differential equations, Characteristic functional structure of infinitesimal symmetry mappings of classical dynamical systems. II. Mappings of first-order differential equations, Characteristic functional structure of infinitesimal symmetry mappings of classical dynamical systems. IV. Classical (velocity-independent) mappings of second-order differential equations, Time-dependent vector constants of motion, symmetries, and orbit equations for the dynamical system r̈=îr{[Ü(t)/U(t)r −[μ/U(t)]r−2}], On projective symmetries of dynamical systems, Dynamical symmetries of the geodesic equation

Cites Work

• Time−dependent dynamical symmetries, associated constants of motion, and symmetry deformations of the Hamiltonian in classical particle systems
• A gauge invariant formulation of time-dependent dynamical symmetry mappings and associated constants of motion for Lagrangian particle mechanics. I
• Related integral theorem. II. A method for obtaining quadratic constants of the motion for conservative dynamical systems admitting symmetries