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تسجيل مستخدم جديدApplications of Noether conservation theorem to Hamiltonian systems
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Amaury Mouchet
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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 Noethers approach is illustrated on several examples, including classical field theory and quantum dynamics.
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