Applications of Noether conservation theorem to Hamiltonian systems

DOI10.1016/j.aop.2016.05.016zbMath1380.70039arXiv1601.01610OpenAlexW2232535639MaRDI QIDQ1698172

Amaury Mouchet

Publication date: 21 February 2018

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

Full work available at URL: https://arxiv.org/abs/1601.01610

zbMATH Keywords

symmetryinvarianceconservation lawcanonical transformationHamiltonian systemNoether theorems

Mathematics Subject Classification ID

Hamilton's equations (70H05) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) Canonical and symplectic transformations for problems in Hamiltonian and Lagrangian mechanics (70H15)

Related Items (4)

Composition functionals in higher order calculus of variations and Noether's theorem ⋮ On the reduction of nonlinear mechanical systems via moving frames: a bead on a rotating wire hoop and a spinning top ⋮ Local and global conserved quantities involving generalized operators ⋮ Noether symmetry method for Hamiltonian mechanics involving generalized operators

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