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math-ph2026
Matrix bordering structure of the Faddeev-Jackiw algorithm: kernel reduction and symbolic automation
E. Chan-López, A. Martín-Ruiz, Jaime Manuel Cabrera +1
We show that the iterative Faddeev-Jackiw (FJ) reduction for singular Lagrangian systems constitutes a geometrically constrained instance of the Matrix Bordering Technique (MBT). S…
math-ph2023
Singular Lagrangians and the Faddeev-Jackiw Formalism in Classical Mechanics
Jorge Paulin Fuente, Carlos Manuel López Arellano, Jaime Manuel Cabrera
Classical mechanical systems with internal constraints will be examined using the extended symplectic formalism of Faddeev-Jackiw. We will derive the generalized brackets of the th…