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arXiv · hep-th/9805024

Lagrangian approach to a symplectic formalism for singular systems

H. Montani·R. Montemayor
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Abstract

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.

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H. Montani, R. Montemayor. 1998-05-05. Lagrangian approach to a symplectic formalism for singular systems. https://doi.org/10.1103/physrevd.58.125018

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