Alternative Lagrangians for central potentials

DOI10.1063/1.529067zbMath0755.58025OpenAlexW2103015963MaRDI QIDQ3987304

Manuel F. Rañada

Publication date: 28 June 1992

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

Full work available at URL: https://doi.org/10.1063/1.529067

zbMATH Keywords

Hamiltonian formalismLagrangiansEuler-Lagrange vector field

Mathematics Subject Classification ID

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) Lagrange's equations (70H03)

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Cites Work

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• Tangent bundle geometry Lagrangian dynamics
• The Helmholtz conditions revisited. A new approach to the inverse problem of Lagrangian dynamics
• Generating functions, bi-Hamiltonian systems, and the quadratic-Hamiltonian theorem
• Generalising gauge variance for spherically symmetric potentials
• Canonoid transformations and constants of motion
• Canonoid transformations from a geometric perspective
• On the differential geometry of the Euler-Lagrange equations, and the inverse problem of Lagrangian dynamics
• NON-LINEAR GENERALIZATION OF THE GAUGE AMBIGUITIES OF THE LAGRANGIAN FORMALISM
• Lagrangians for spherically symmetric potentials