Applications of Noether conservation theorem to Hamiltonian systems
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- 作者：Amaury Mouchet mouchet@phys.univ-tours.fr" class="auth_mail" title="E-mail the corresponding author
- 关键词：Noether theorems ; Symmetry ; Conservation law ; Invariance ; Canonical transformation ; Hamiltonian system
- 刊名：Annals of Physics
- 出版年：2016
- 出版时间：September 2016
- 年：2016
- 卷：372
- 期：Complete
- 页码：260-282
- 全文大小：534 K
文摘
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.