Article ID Journal Published Year Pages File Type
8201705 Annals of Physics 2016 36 Pages PDF
Abstract
The Noether theorem connecting symmetries and conservation laws can be applied directly in a Hamiltonian framework without using any intermediate Lagrangian formulation. This requires a careful discussion about the invariance of the boundary conditions under a canonical transformation and this paper proposes to address this issue. Then, the unified treatment of Hamiltonian systems offered by Noether's approach is illustrated on several examples, including classical field theory and quantum dynamics.
Related Topics
Physical Sciences and Engineering Physics and Astronomy Physics and Astronomy (General)
Authors
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