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arXiv · 1409.2524

Involutive constrained systems and Hamilton-Jacobi formalism

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

In this paper, we study singular systems with complete sets of involutive constraints. The aim is to establish, within the Hamilton-Jacobi theory, the relationship between the Frobenius' theorem, the infinitesimal canonical transformations generated by constraints in involution with the Poisson brackets, and the lagrangian point (gauge) transformations of physical systems.

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M. C. Bertin, B. M. Pimentel, C. E. Valcárcel. 2014-09-08. Involutive constrained systems and Hamilton-Jacobi formalism. https://doi.org/10.1063/1.4900921

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