Poisson maps and canonoid transformations for time-dependent Hamiltonian systems

DOI10.1063/1.528552zbMath0693.70014OpenAlexW1608502194MaRDI QIDQ3468648

Manuel F. Rañada, José F. Cariñena

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1063/1.528552

zbMATH Keywords

Poisson structuresHamiltonian formulationcanonoid transformationsdynamical vector fieldgeometric theory of time-dependent systems

Mathematics Subject Classification ID

Groups of diffeomorphisms and homeomorphisms as manifolds (58D05) Canonical and symplectic transformations for problems in Hamiltonian and Lagrangian mechanics (70H15)

Related Items

Canonical and canonoid transformations for Hamiltonian systems on (co)symplectic and (co)contact manifolds ⋮ Hamiltonian time-dependent mechanics ⋮ Time-dependent Lagrangian systems: A geometric approach to the theory of systems with constraints ⋮ Generating functions, bi-Hamiltonian systems, and the quadratic-Hamiltonian theorem ⋮ Quasi-Hamiltonian structure and Hojman construction ⋮ Lifting geometric objects to the dual of the first jet bundle of a bundle fibred over \(\mathbb R\) ⋮ Lifted tensors and Hamilton-Jacobi separability ⋮ Hamiltonian formalism and time transformations in the extended phase space \(T^*(Q \times \mathbb{R})\) ⋮ The inverse problem in the calculus of variations and the geometry of the tangent bundle ⋮ Noether's theorem in time-dependent Lagrangian mechanics

Cites Work

• Generalized canonical transformations for time-dependent systems
• Canonoid transformations and constants of motion
• Canonoid transformations from a geometric perspective

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