The Hamiltonian Formulation of Higher Order Dynamical Systems

Details The Hamiltonian Formulation of Higher Order Dynamical Systems The Hamiltonian Formulation of Higher Order Dynamical Systems

1994-03-02

arxiv.org/abs/hep-th/9403009v2

Physics

High Energy Physics

High Energy Physics - Theory

17 pages. Revised: references added

Scientific paper

Using Dirac's approach to constrained dynamics, the Hamiltonian formulation of regular higher order Lagrangians is developed. The conventional description of such systems due to Ostrogradsky is recovered. However, unlike the latter, the present analysis yields in a transparent manner the local structure of the associated phase space and its local sympletic geometry, and is of direct application to {\em constrained\/} higher order Lagrangian systems which are beyond the scope of Ostrogradsky's approach.

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