Canonical Noether symmetries and commutativity properties for gauge systems

DOI10.1063/1.1289825zbMath0987.70015arXivmath-ph/0007037OpenAlexW3103645450MaRDI QIDQ2738255

Josep M. Pons, Xavier Gràcia

Publication date: 30 August 2001

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

Full work available at URL: https://arxiv.org/abs/math-ph/0007037

zbMATH Keywords

dynamical systemphase spacecommutation relationsevolution operatorvelocity spacesingular Lagrangiangauge systemscanonical Noether symmetries

Mathematics Subject Classification ID

Lagrangian formalism and Hamiltonian formalism in mechanics of particles and systems (70S05) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33)

Related Items

On Dirac's incomplete analysis of gauge transformations ⋮ ON SECOND NOETHER'S THEOREM AND GAUGE SYMMETRIES IN MECHANICS ⋮ The gauge group in the real triad formulation of general relativity

Cites Work

• On an evolution operator connecting Lagrangian and Hamiltonian formalisms
• The Hamiltonian structure of Yang-Mills theories and instantons. I
• Fibre derivatives: Some applications to singular Lagrangians
• COVARIANT AND NONCOVARIANT GAUGE TRANSFORMATIONS FOR THE CONFORMAL PARTICLE
• Gauge transformation in Einstein–Yang–Mills theories
• Noether’s theorem and gauge transformations: Application to the bosonic string and C P n−12 model
• New relations between Hamiltonian and Lagrangian constraints
• Presymplectic manifolds and the Dirac–Bergmann theory of constraints
• Quasigroup construction and first class constraints
• A Hamiltonian approach to Lagrangian Noether transformations
• Equivalence between the Lagrangian and Hamiltonian formalism for constrained systems
• Generalized Hamiltonian Dynamics

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