The Difficulty of Symplectic Analysis with Second Class Systems

Abstract

Using the basic concepts of chain by chain method we show that the symplectic analysis, which was claimed to be equivalent to the usual Dirac method, fails when second class constraints are present. We propose a modification in symplectic analysis that solves the problem.

17 pages, no figure. accepted in JMP

References in corpus (4)

• Dynamical Structure of Irregular Constrained Systems
• Degenerate Dynamical Systems
• Lagrange versus Symplectic Algorithm for Constrained Systems
• Constraint structure in modified Faddeev-Jackiw method

Cited by in corpus (5)

• Faddeev-Jackiw quantization and the path integral
• Darboux coordinates for the Hamiltonian of first order Einstein-Cartan gravity
• Barcelos-Wotzasek symplectic algorithm for constrained systems revisited
• Symplectic algorithm for systems with second-class constraints
• Dynamical Structure of the Fields in the Light Cone Coordinates