Noether Theorem and independence of conserved quantities in Lagrangian field theories
Thesis/Dissertation
·
OSTI ID:5794935
The problem of constructing and classifying the conserved quantities possessed by classical (non-quantized) systems described by a Lagrangian or by a differential ideal is examined, and a definition of independence is proposed which can be useful in the classification of conserved quantities. The variational principle and the Noether theorem are first studied for physical systems formulated in terms of Lagrangian (which may depend on derivatives of arbitrary order) defined on a jet bundle. Systems formulated in terms of a solution idea on other manifolds are also considered, and the importance of the Cartan and contact ideals in a unified formulation is demonstrated. In particular, a relation is established between a special set of ideal forms (the Euler-Lagrange forms) and the exterior derivatives of all Noetherian conserved quantities.
- Research Organization:
- California Univ., Santa Cruz (USA)
- OSTI ID:
- 5794935
- Country of Publication:
- United States
- Language:
- English
Similar Records
Noether's second theorem for BRST symmetries
Applications of Noether conservation theorem to Hamiltonian systems
Equivalent conserved currents and generalized Noether's theorem
Journal Article
·
Sun May 01 00:00:00 EDT 2005
· Journal of Mathematical Physics
·
OSTI ID:20699186
Applications of Noether conservation theorem to Hamiltonian systems
Journal Article
·
Thu Sep 15 00:00:00 EDT 2016
· Annals of Physics
·
OSTI ID:22617379
Equivalent conserved currents and generalized Noether's theorem
Journal Article
·
Fri Jun 01 00:00:00 EDT 1984
· Ann. Phys. (N.Y.); (United States)
·
OSTI ID:6658723