SL(3,R) as the group of symmetry transformations for all one-dimensional linear systems. III. Equivalent Lagrangian formalisms

DOI10.1063/1.529681zbMath0757.70011OpenAlexW2075920581MaRDI QIDQ4019983

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Publication date: 16 January 1993

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

Full work available at URL: https://doi.org/10.1063/1.529681

zbMATH Keywords

one-dimensional Newtonian linear systemsprojective transformations of the plane

Mathematics Subject Classification ID

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

Related Items (1)

Heuristic approach to non-Abelian quantum kinematics and dynamics in configuration spacetime

Cites Work

• General transformation theory of Lagrangian mechanics and the Lagrange group
• Lagrangian mechanics and the geometry of configuration spacetime
• Non-Noether constants of motion
• Equivalent Lagrangians: Multidimensional case
• A complete classification of dynamical symmetries in classical mechanics
• Infinitesimal symmetry transformations. II. Some one-dimensional nonlinear systems
• SL(3,R) as the group of symmetry transformations for all one-dimensional linear systems
• On the Lie symmetries of the classical Kepler problem
• Conservation laws and discrete symmetries in classical mechanics
• Non-Abelian group quantization and quantum kinematic invariants of some noncompact Lie groups
• SL(3,R) as the group of symmetry transformations for all one-dimensional linear systems. II. Realizations of the Lie algebra
• Hamilton's Principle and the Conservation Theorems of Mathematical Physics

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