Faddeev-Jackiw Approach to Classical Constrained Systems
arXiv:2507.22505 · doi:10.1007/s10773-025-06227-8
Abstract
We accomplish the quantization of a few classical constrained systems à 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.
17 pages, submitted version, accepted for publication in International Journal of Theoretical Physics
References in corpus (12)
- Rigid Rotor as a Toy Model for Hodge Theory
- Faddeev-Jackiw quantization and the path integral
- Singular Lagrangians, Constrained Hamiltonian Systems and Gauge Invariance: An Example of the Dirac-Bergmann Algorithm
- Faddeev-Jackiw quantization of four dimensional BF theory
- Faddeev-Jackiw Quantization of Christ-Lee Model
- Singular Lagrangians and the Dirac--Bergmann Algorithm in Classical Mechanics
- Particle on a torus knot: Symplectic analysis
- On the Quantization of FLPR Model
- BRST Analysis and BFV Quantization of the Generalized Quantum Rigid Rotor
- Singular Lagrangians and the Faddeev-Jackiw Formalism in Classical Mechanics
- Symplectic gauge invariant reformulation of a free particle system on toric geometry
- Anti Self-Dual Yang-Mills, Modified Faddeev-Jackiw Formalism and Hidden BRS Invariance