Poincaré–Cartan integral invariant and canonical transformations for singular Lagrangians

DOI10.1063/1.524721zbMath0448.70017OpenAlexW2112349723MaRDI QIDQ3894978

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Publication date: 1980

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

Full work available at URL: https://doi.org/10.1063/1.524721

zbMATH Keywords

constrained systemssingular LagrangiansPoincare-Cartan integral invariant

Mathematics Subject Classification ID

Dynamics of a system of particles, including celestial mechanics (70F99) Hamilton's principle (70H25) Canonical and symplectic transformations for problems in Hamiltonian and Lagrangian mechanics (70H15) Generalized coordinates; event, impulse-energy, configuration, state, or phase space for problems in mechanics (70G10)

Related Items

Symmetry in extended phase space for singular Lagrangian with subsidiary constraints ⋮ Dirac's conjecture ⋮ Cawley's counterexample to Dirac's conjecture as a curved spacetime ⋮ Canonical transformations theory for presymplectic systems ⋮ Dynamics of constrained systems ⋮ Generalized Noether theorems and applications ⋮ Quantal Poincaré-Cartan integral invariant for field theory ⋮ The quantal Poincaré-Cartan integral invariantfor singular higher-order Lagrangian in field theories ⋮ Dirac–Bergmann constraints in physics: Singular Lagrangians, Hamiltonian constraints and the second Noether theorem ⋮ Unnamed Item ⋮ Poincaré–Cartan integral invariant and canonical transformations for singular Lagrangians: An addendum ⋮ Cartan rediscovered in general relativity

Cites Work

• Poincaré Cartan integral invariant for constrained systems
• Canonical formalism for degenerate Lagrangians