Incomplete Dirac reduction of constrained Hamiltonian systems
Journal Article
·
· Annals of Physics
First-class constraints constitute a potential obstacle to the computation of a Poisson bracket in Dirac’s theory of constrained Hamiltonian systems. Using the pseudoinverse instead of the inverse of the matrix defined by the Poisson brackets between the constraints, we show that a Dirac–Poisson bracket can be constructed, even if it corresponds to an incomplete reduction of the original Hamiltonian system. The uniqueness of Dirac brackets is discussed. The relevance of this procedure for infinite dimensional Hamiltonian systems is exemplified.
- OSTI ID:
- 22451228
- Journal Information:
- Annals of Physics, Journal Name: Annals of Physics Vol. 361; ISSN 0003-4916; ISSN APNYA6
- Country of Publication:
- United States
- Language:
- English
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