2000/07/31 by Xavier Gràcia, Xavier Gracia, Josep M. Pons
Mathematics · Physics and Astronomy · #Commutation #Commutative property #Gauge symmetry #Hamiltonian (control theory) #Homogeneous space #Homotopy and Cohomology in Algebraic Topology #Lagrangian #Lagrangian system #Noether's theorem #Nonlinear Waves and Solitons #Operator (biology) #Quantum Mechanics and Non-Hermitian Physics #gr-qc #hep-th #math-ph #math.MP #msc:34C14 #msc:70H33 #msc:70H45
paper · pdf · doi:10.1063/1.1289825
published as J.Math.Phys. 41 (2000) 7333-7351 · 22 pages; some references updated, an uncited reference deleted, minor style changes
openalex publication_date 2000/11/01 · arxiv created 2002/01/18 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
For a dynamical system defined by a singular Lagrangian, canonical Noether symmetries are characterized in terms of their commutation relations with the evolution operators of Lagrangian and Hamiltonian formalisms. Separate characterizations are given in phase space, in velocity space, and through an evolution operator that links both spaces.