Faddeev-Jackiw Quantization of Classical Constrained Systems

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 new interpretation for Lagrange multipliers and outline a MATLAB implementation algorithm for symplectic formulation.