Dynamical Systems with First- and Second-Class Constraints and the Second Noether Theorem

Details Dynamical Systems with First- and Second-Class Constraints and the Second Noether Theorem Dynamical Systems with First- and Second-Class Constraints and the Second Noether Theorem

1996-12-17

arxiv.org/abs/hep-th/9612180v1

Physics

High Energy Physics

High Energy Physics - Theory

9 pages, LaTex

Scientific paper

Dynamical systems, described by Lagrangians with first- and second-class constraints, are investigated. In the Dirac approach to the generalized Hamiltonian formalism, the classification and separation of the first- and second-class constraints are presented with the help of passing to an equivalent canonical set of constraints. The general structure of second-class constraints is clarified. The method of constructing the generator of symmetry transformations in the second Noether theorem is given. It is proved that second-class constraints do not contribute to the transformation law of the local symmetry which entirely is entirely stipulated by all the first-class constraints.

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