Generalized Noether theorems in canonical formalism for field theories and their applications
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Publication:1209247
DOI10.1007/BF00674405zbMath0809.47056MaRDI QIDQ1209247
Publication date: 16 May 1993
Published in: International Journal of Theoretical Physics (Search for Journal in Brave)
Dirac's conjecture failsinvariant system with a singular Lagrangian in field theoriesNoether's first theorem in phase spaceNoether's second theoremnoninvariant system in field theories
Applications of operator theory to differential and integral equations (47N20) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) Lagrange's equations (70H03)
Related Items
Form invariance and Noether symmetrical conserved quantity of relativistic Birkhoffian systems ⋮ Canonical symmetry of a constrained Hamiltonian system and canonical Ward identity ⋮ Generalized Noether identities for nonlocal transformations ⋮ Applications of Noether conservation theorem to Hamiltonian systems ⋮ The transformation properties at the quantum level in field theories for a gauge-invariant system with a higher-order Lagrangian ⋮ A form invariance of constrained Birkhoffian system ⋮ The conservation law of nonholonomic system of second-order non-Chetaev's type in event space
Cites Work
- Poincare-Cartan Invariant Form and Dynamical Systems with Constraints. II
- Poincare-Cartan Invariant Form and Dynamical Systems with Constraints
- On the Choice of Gauge Conditions for Systems with Secondary First Class Constraints
- On the Relation of First-Class Constraints to Gauge Degrees of Freedom
- Symmetry in a constrained Hamiltonian system with singular higher-order Lagrangian
- The intrinsic properties of rank and nullity of the Lagrange bracket in the one dimensional calculus of variations
- The Universal Form of the Boundary Layer Equation and its Solution for Non‐Newtonian Power‐Law Fluids
- Foundations of Quantum Mechanics
