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

S. A. Gogilidze; Yu. S. Surovtsev

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arXiv · hep-th/9612180

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

S. A. Gogilidze·Yu. S. Surovtsev

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Abstract

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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S. A. Gogilidze, Yu. S. Surovtsev. 1996-12-17. Dynamical Systems with First- and Second-Class Constraints and the Second Noether Theorem. https://arxiv.org/abs/hep-th/9612180

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