paper

Non-Involutive Constrained Systems and Hamilton-Jacobi Formalism

arXiv:0805.0379 · doi:10.1016/j.aop.2008.09.002

Abstract

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.

12 pages

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