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arXiv · 0805.0379

Non-Involutive Constrained Systems and Hamilton-Jacobi Formalism

M. C. Bertin·B. M. Pimentel·C. E. Valcárcel
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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.

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M. C. Bertin, B. M. Pimentel, C. E. Valcárcel. 2008-05-05. Non-Involutive Constrained Systems and Hamilton-Jacobi Formalism. https://doi.org/10.1016/j.aop.2008.09.002

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