Alternative Lagrangians for spherically symmetric potentials

DOI10.1063/1.527901zbMath0658.70023OpenAlexW2015800354MaRDI QIDQ3807671

Geoff Prince, Mike Crampin

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1063/1.527901

zbMATH Keywords

central forcespherically symmetric potentialsalternative Lagrangians

Mathematics Subject Classification ID

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Lagrange's equations (70H03)

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Equivalence and s-equivalence of vector-tensor Lagrangians, Quasi-bi-Hamiltonian structures of the 2-dimensional Kepler problem, Symmetries and the explanation of conservation laws in the light of the inverse problem in Lagrangian mechanics, Generalized Hamiltonian forms of dissipative mechanical systems via a unified approach, On the inverse problem with symmetries, and the appearance of cohomologies in classical Lagrangian dynamics, Computer algebra solution of the inverse problem in the calculus of variations

Cites Work

• Separability of completely integrable dynamical systems admitting alternative Lagrangian descriptions
• Tangent bundle geometry Lagrangian dynamics
• Equivalent Lagrangians: Multidimensional case
• Affine bundles and integrable almost tangent structures
• Generalising gauge variance for spherically symmetric potentials
• On the differential geometry of the Euler-Lagrange equations, and the inverse problem of Lagrangian dynamics
• Lagrangians for spherically symmetric potentials