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Applications of Noether conservation theorem to Hamiltonian systems

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.
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https://hal.archives-ouvertes.fr/hal-01242658
Contributor : Amaury Mouchet <>
Submitted on : Wednesday, June 15, 2016 - 8:49:10 AM
Last modification on : Wednesday, March 10, 2021 - 4:30:09 PM
Long-term archiving on: : Friday, September 16, 2016 - 10:04:09 AM

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Amaury Mouchet. Applications of Noether conservation theorem to Hamiltonian systems. Annals of Physics, Elsevier Masson, 2016, 372 ( September 2016), pp.260. ⟨hal-01242658v2⟩

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