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<p>We accomplish the quantization of a few classical constrained systems <i>á la</i> (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.</p>

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Faddeev-Jackiw Approach to Classical Constrained Systems

  • 期刊论文

  • 发表日期：

    2026年1月20日

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  • Shaza Abdul Majid,
  • Ansha S Nair,
  • Saurabh Gupta

摘要

We accomplish the quantization of a few classical constrained systems á 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.