On the Hamilton-Jacobi Theory for Singular Lagrangian Systems
Manuel de Le\'on, Juan Carlos Marrero, David Mart\'in de Diego, Miguel, Vaquero
TL;DR
This paper extends the Hamilton-Jacobi theory to singular Lagrangian systems by employing the Gotay-Nester-Hinds constraint algorithm, effectively handling systems with secondary constraints.
Contribution
It introduces a novel Hamilton-Jacobi framework for singular systems that accommodates secondary constraints using a geometric constraint algorithm.
Findings
Successfully applies the theory to systems with secondary constraints
Provides a geometric approach to Hamilton-Jacobi for singular systems
Enhances understanding of constrained dynamical systems
Abstract
We develop a Hamilton-Jacobi theory for singular lagrangian systems using the Gotay-Nester-Hinds constraint algorithm. The procedure works even if the system has secondary constraints.
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