Lee Hwa Chung theorem for presymplectic manifolds. Canonical transformations for constrained systems

DOI10.1063/1.526303zbMath0553.70014OpenAlexW2149046626MaRDI QIDQ3216181

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Publication date: 1984

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

Full work available at URL: http://hdl.handle.net/2445/24514

zbMATH Keywords

Chung's theoremDirac bracketpresymplectic manifolds

Mathematics Subject Classification ID

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Canonical and symplectic transformations for problems in Hamiltonian and Lagrangian mechanics (70H15)

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Canonical transformations theory for presymplectic systems ⋮ Dynamics of constrained systems ⋮ Generating functions, bi-Hamiltonian systems, and the quadratic-Hamiltonian theorem ⋮ Invariant forms and Hamiltonian systems: A geometrical setting ⋮ Canonical trivialization of gravitational gradients ⋮ Tracing KAM tori in presymplectic dynamical systems ⋮ Classical spin particles: A kinematical approach ⋮ ON SOME ASPECTS OF THE GEOMETRY OF DIFFERENTIAL EQUATIONS IN PHYSICS ⋮ Symplectic and nonsymplectic realizations of groups for singular systems. An example

Cites Work

• Poincaré Cartan integral invariant for constrained systems
• Presymplectic manifolds and the Dirac–Bergmann theory of constraints
• Poincaré–Cartan integral invariant and canonical transformations for singular Lagrangians: An addendum
• Canonical formalism for degenerate Lagrangians
• Forms of Relativistic Dynamics