Phys. Rev. D 58, 125018 (1998) [11 pages]Lagrangian approach to a symplectic formalism for singular systemsReceived 18 November 1997; published 17 November 1998 We develop a Lagrangian approach for constructing a symplectic structure for singular systems. It gives a simple and unified framework for understanding the origin of the pathologies that appear in the Dirac-Bergmann formalism, and offers a more general approach for a symplectic formalism, even when there is no Hamiltonian in a canonical sense. We can thus overcome the usual limitations of the canonical quantization, and perform an algebraically consistent quantization for a more general set of Lagrangian systems. © 1998 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevD.58.125018
DOI:
10.1103/PhysRevD.58.125018
PACS:
11.10.Ef, 03.20.+i
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