Involutive constrained systems and Hamilton-Jacobi formalism
@article{Bertin2008InvolutiveCS, title={Involutive constrained systems and Hamilton-Jacobi formalism}, author={Mario Cezar Bertin and Bruito M. Pimentel and Carlos Valc'arcel}, journal={Journal of Mathematical Physics}, year={2008}, volume={55}, pages={112901} }
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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We analyse the constraint structure of the background field model for three-dimensional gravity including a cosmological term via the Hamilton--Jacobi formalism. We find the complete set of…
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