Genuine covariant description of Hamiltonian dynamics

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After reviewing the covariant description of Hamiltonian dynamics, some applications are done to the non-relativistic isotropic three-dimensional harmonic oscillator, Rovelli's model, and SO(3,1) BF theories.
13 pages, no figures, in VI Mexican School on Gravitation and Mathematical Physics, eds M. Alcubierre, J.L. Cervantes-Cota, and M. Montesinos (Bristol and Philadelphia: Institute of Physics Publishing, 2005)

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