Equivalent conserved currents and generalized Noether's theorem

DOI10.1016/0003-4916(84)90253-7zbMath0557.49027OpenAlexW2051842855MaRDI QIDQ762460

T. J. Gordon

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1016/0003-4916(84)90253-7

zbMATH Keywords

Lagrange multiplierconservation lawNoether theoremconserved currentsinfinitesimal symmetryfield theoryLagrangian and Hamiltonian field theoriesNoether field theory

Mathematics Subject Classification ID

Geometric measure and integration theory, integral and normal currents in optimization (49Q15) Applications of global differential geometry to the sciences (53C80) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Variational principles of physics (49S05) Hamiltonian and Lagrangian mechanics (70H99) Currents in global analysis (58A25)

Related Items (4)

Improvement of a Conserved Current Density Versus Adding a Total Derivative to a Lagrangian Density ⋮ Symmetries of generalized Klein-Gordon (including sine-Gordon) equations in three or more dimensions ⋮ Lifting geometric objects to a cotangent bundle, and the geometry of the cotangent bundle of a tangent bundle ⋮ Conservation laws and Lie-Bäcklund symmetry

Cites Work

• Conservation laws of free Klein Gordon fields
• Kernels and ranges in the variational formalism
• On the Hamiltonian structure of evolution equations
• Conserved currents of the Klein–Gordon field
• Korteweg-de Vries Equation and Generalizations. I. A Remarkable Explicit Nonlinear Transformation
• Existence of a New Conservation Law in Electromagnetic Theory
• Hamilton's Principle and the Conservation Theorems of Mathematical Physics
• Unnamed Item

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