Lagrangian approach to a symplectic formalism for singular systems - art. no. 125018

We develop a Lagrangian approach for constructing a symplectic structure fo r singular systems. It gives a simple and unified framework for understandi ng the origin of the pathologies that appear in the Dirac-Bergmann formalis m, and offers a more general approach fur a symplectic formalism, even when there is no Hamiltonian in a canonical sense. We can thus overcome the usu al limitations of the canonical quantization, and perform an algebraically consistent quantization for a more general set of Lagrangian systems. [S055 6-2821(98)05522-2].