Incomplete Dirac reduction of constrained Hamiltonian systems
Résumé
First-class constraints constitute a potential obstacle to the computation of a Poisson bracket in Dirac's theory of constrained Hamiltonian systems. Using the pseudoinverse instead of the inverse of the matrix defined by the Poisson brackets between the constraints, we show that a Dirac-Poisson bracket can be constructed, even if it corresponds to an incomplete reduction of the original Hamiltonian system. The uniqueness of Dirac brackets is discussed.
Domaines
Dynamique Chaotique [nlin.CD]
Origine : Fichiers produits par l'(les) auteur(s)
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