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Faddeev-Jackiw Approach to Classical Constrained Systems

High Energy Physics - Theory 2026-01-23 v2

Abstract

We accomplish the quantization of a few classical constrained systems \`a la (modified) Faddeev-Jackiw formalism. We analyze the constraint structure and obtain basic brackets of the theory. In addition, we disclose the gauge symmetries within the symplectic framework. We also provide an interpretation for Lagrange multipliers and outline a MATLAB implementation algorithm for symplectic formulation.

Keywords

Cite

@article{arxiv.2507.22505,
  title  = {Faddeev-Jackiw Approach to Classical Constrained Systems},
  author = {Shaza Abdul Majid and Ansha S Nair and Saurabh Gupta},
  journal= {arXiv preprint arXiv:2507.22505},
  year   = {2026}
}

Comments

17 pages, submitted version, accepted for publication in International Journal of Theoretical Physics

R2 v1 2026-07-01T04:25:36.651Z