A Hamilton-Jacobi Theory for Singular Lagrangian Systems in the Skinner and Rusk Setting
Manuel de Le\'on, David Mart\'in de Diego, Miguel Vaquero
TL;DR
This paper develops a Hamilton-Jacobi theory tailored for singular Lagrangian systems within the Skinner-Rusk formalism, providing a unified approach and comparisons with traditional Lagrangian and Hamiltonian frameworks.
Contribution
It introduces a Hamilton-Jacobi framework specifically for singular Lagrangian systems in the Skinner-Rusk setting, bridging gaps between different formalisms.
Findings
Unified Hamilton-Jacobi theory for singular systems.
Comparison with classical Lagrangian and Hamiltonian approaches.
Potential applications in constrained mechanical systems.
Abstract
We develop a Hamilton-Jacobi theory for singular lagrangian systems in the Skinner-Rusk formalism. Comparisons with the Hamilton-Jacobi problem in the lagrangian and hamiltonian settings are discussed.
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