Faddeev-Jackiw Approach to Classical Constrained Systems
Shaza Abdul Majid, Ansha S Nair, Saurabh Gupta
TL;DR
This paper applies the Faddeev-Jackiw formalism to quantize classical constrained systems, analyzing their structure, gauge symmetries, and providing computational tools for symplectic formulation.
Contribution
It offers a detailed analysis of constraint structures and gauge symmetries within the Faddeev-Jackiw approach, including a MATLAB implementation algorithm.
Findings
Derived basic brackets for constrained systems
Identified gauge symmetries in the symplectic framework
Proposed a MATLAB algorithm for symplectic quantization
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.
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