• Corpus ID: 143425032

The Noether charges of all analytic Lagrangians associated with a scale invariant action

@article{Fagerholm2019TheNC,
  title={The Noether charges of all analytic Lagrangians associated with a scale invariant action},
  author={Erik D. Fagerholm and Robert Leech},
  journal={arXiv: Classical Physics},
  year={2019}
}
Here we consider scale invariant dynamical systems within a classical particle description of Lagrangian mechanics. We begin by showing the condition under which a spatial and temporal scale transformation of such a system can lead to a symmetry by leaving the action unchanged. We then derive the form of all analytic Lagrangians that possess such a symmetry under change of scale. Finally, we write down the Noether charges of all analytic Lagrangians that are associated with a scale invariant… 

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