Non-Involutive Constrained Systems and Hamilton-Jacobi Formalism
High Energy Physics - Theory
2009-12-07 v1
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.
Cite
@article{arxiv.0805.0379,
title = {Non-Involutive Constrained Systems and Hamilton-Jacobi Formalism},
author = {M. C. Bertin and B. M. Pimentel and C. E. Valcárcel},
journal= {arXiv preprint arXiv:0805.0379},
year = {2009}
}
Comments
12 pages