Applications of Noether conservation theorem to Hamiltonian systems

Amaury Mouchet

doi:10.1016/j.aop.2016.05.016

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arXiv · 1601.01610

Applications of Noether conservation theorem to Hamiltonian systems

Amaury Mouchet

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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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Amaury Mouchet. 2016-06-13. Applications of Noether conservation theorem to Hamiltonian systems. https://doi.org/10.1016/j.aop.2016.05.016

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