PreprintCC BY-NC-ND 4.0arXiv
Alternative Hamiltonian and Lagrangian Approaches for Constrained Systems
Abstract
While standard Hamiltonian and Lagrangian methods are powerful for unconstrained classical systems, they are not directly suited to constrained ones, despite the existence of well-established treatments in the literature. In this paper, we present an alternative approach to deriving a generalized Hamiltonian and Lagrangian framework, based on the revised Barcelos-Wotzasek (BW) symplectic algorithm. This method enables a consistent and successful construction of the standard Lagrangian and Hamiltonian descriptions for constrained systems.
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BibTeX
@misc{andrade2026alternative,
title = {{Alternative Hamiltonian and Lagrangian Approaches for Constrained Systems}},
author = {M. A. de Andrade and C. Neves and E. V. Corrêa Silva},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.04692},
eprint = {2610.04692},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.04692},
note = {CC BY-NC-ND 4.0},
}
RIS
TY - UNPB
TI - Alternative Hamiltonian and Lagrangian Approaches for Constrained Systems
AU - M. A. de Andrade
AU - C. Neves
AU - E. V. Corrêa Silva
PY - 2026
DA - 2026/10/03
PB - arXiv
DO - 10.48550/arxiv.2610.04692
UR - https://arxiv.org/abs/2610.04692
AB - While standard Hamiltonian and Lagrangian methods are powerful for unconstrained classical systems, they are not directly suited to constrained ones, despite the existence of well-established treatments in the literature. In this paper, we present an alternative approach to deriving a generalized Hamiltonian and Lagrangian framework, based on the revised Barcelos-Wotzasek (BW) symplectic algorithm. This method enables a consistent and successful construction of the standard Lagrangian and Hamiltonian descriptions for constrained systems.
ER -