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Hamiltonian Frenet-Serret dynamics

Riccardo Capovilla·Jemal Guven·Efrain Rojas
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Abstract

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 Hamiltonian equations of motion are written down and a geometrical interpretation is provided for the canonical variables.

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Riccardo Capovilla, Jemal Guven, Efrain Rojas. 2002-03-15. Hamiltonian Frenet-Serret dynamics. https://doi.org/10.1088/0264-9381%2F19%2F8%2F315

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