Non-Involutive Constrained Systems and Hamilton-Jacobi Formalism

Details Non-Involutive Constrained Systems and Hamilton-Jacobi Formalism Non-Involutive Constrained Systems and Hamilton-Jacobi Formalism

2008-05-05

arxiv.org/abs/0805.0379v1

Annals Phys.323:3137-3149,2008

Physics

High Energy Physics

High Energy Physics - Theory

12 pages

Scientific paper

10.1016/j.aop.2008.09.002

In this work we discuss the natural appearance of the Generalized Brackets in systems with non-involutive (equivalent to second class) constraints in the Hamilton-Jacobi formalism. We show how a consistent geometric interpretation of the integrability conditions leads to the reduction of degrees of freedom of these systems and, as consequence, naturally defines a dynamics in a reduced phase space.

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