In defence of the Dirac theory of constraints
- 1 July 1982
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 15 (7) , L331-L336
- https://doi.org/10.1088/0305-4470/15/7/001
Abstract
An allegation of a flaw in the theory developed by Dirac for the Hamiltonian formation of singular dynamical systems is denied. It is shown that the Dirac theory is perfectly correct, and adequate as a Hamiltonian theory-but also there is a gain to be had by looking at the structural features involved in the original Lagrangian picture, including those 'canonical' features necessary for the purpose of quantisation; it is indicated how the controversy about first-class secondary constraints may be examined in this way.Keywords
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- Presymplectic manifolds and the Dirac–Bergmann theory of constraintsJournal of Mathematical Physics, 1978
- Canonical formalism for degenerate LagrangiansJournal of Mathematical Physics, 1973