Realizations of observables in Hamiltonian systems with first class constraints

Details Realizations of observables in Hamiltonian systems with first class constraints Realizations of observables in Hamiltonian systems with first class constraints

2004-12-23

arxiv.org/abs/hep-th/0412286v3

Int.J.Geom.Meth.Mod.Phys.4:517-522,2007

Physics

High Energy Physics

High Energy Physics - Theory

7 pages, misprints corrected

Scientific paper

10.1142/S0219887807002168

In a Hamiltonian system with first class constraints observables can be defined as elements of a quotient Poisson bracket algebra. In the gauge fixing method observables form a quotient Dirac bracket algebra. We show that these two algebras are isomorphic. A new realization of the observable algebras through the original Poisson bracket is found. Generators, brackets and pointwise products of the algebras under consideration are calculated.

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