Hamiltonian Frenet–Serret dynamics

@article{Capovilla2001HamiltonianFD,
  title={Hamiltonian Frenet–Serret dynamics},
  author={Riccardo Capovilla and J. Guven and Efra{\'i}n Rojas},
  journal={Classical and Quantum Gravity},
  year={2001},
  volume={19},
  pages={2277-2290}
}
The Hamiltonian formulation of the dynamics of a relativistic particle described by a higher derivative action that depends both on the first and the second Frenet–Serret curvatures is considered from a geometrical perspective. We demonstrate how reparametrization covariant dynamical variables and their projections onto the Frenet–Serret frame can be exploited to provide not only a significant simplification of but also novel insights into the canonical analysis. The constraint algebra and the… 
8 Citations

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