Generalized Hamiltonian dynamics. II. Gauge transformations

DOI10.1063/1.525655zbMath0556.70013OpenAlexW1975675864MaRDI QIDQ3219820

Ray Skinner, Raymond Rusk

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1063/1.525655

zbMATH Keywords

gauge transformationsconstraintsDirac's conjectureWhitney sum of phase space and velocity spacetime dependent formulation

Mathematics Subject Classification ID

Hamilton's equations (70H05) Yang-Mills and other gauge theories in mechanics of particles and systems (70S15) Lagrangian formalism and Hamiltonian formalism in mechanics of particles and systems (70S05) Higher-order theories for problems in Hamiltonian and Lagrangian mechanics (70H50) Generalized coordinates; event, impulse-energy, configuration, state, or phase space for problems in mechanics (70G10)

Related Items (14)

ON HIGHER DERIVATIVES AS CONSTRAINTS IN FIELD THEORY: A GEOMETRIC PERSPECTIVE ⋮ Symmetries and constants of the motion for singular Lagrangian systems ⋮ Generalized Hamiltonian dynamics. I. Formulation on T*Q⊕T Q ⋮ A historical review on nonholomic mechanics ⋮ Singular Lagrangian systems and variational constrained mechanics on Lie algebroids ⋮ Reductions of topologically massive gravity II. First order realizations of second order Lagrangians ⋮ On the geometry of the Schmidt-Legendre transformation ⋮ Vertical liouville foliations on the big-tangent manifold of a finsler space ⋮ A HAMILTON–JACOBI THEORY FOR SINGULAR LAGRANGIAN SYSTEMS IN THE SKINNER AND RUSK SETTING ⋮ The Lagrangian-Hamiltonian formalism for higher-order field theories ⋮ An extension of the Dirac and Gotay-Nester theories of constraints for Dirac dynamical systems ⋮ Variational discretizations of gauge field theories using group-equivariant interpolation ⋮ Reductions of topologically massive gravity I: Hamiltonian analysis of second order degenerate Lagrangians ⋮ Skinner-Rusk approach to time-dependent mechanics

Cites Work

• Generalized Hamiltonian dynamics. I. Formulation on T*Q⊕T Q
• Generalized Hamiltonian dynamics
• First-order equations of motion for classical mechanics
• Presymplectic manifolds and the Dirac–Bergmann theory of constraints
• The intrinsic properties of rank and nullity of the Lagrange bracket in the one dimensional calculus of variations

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