ar X iv : h ep - t h / 03 12 24 0 v 1 1 9 D ec 2 00 3 New realizations of observables in dynamical systems with second class constraints
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چکیده
New realizations of observables in dynamical systems with second class constraints. Abstract In the Dirac bracket approach to dynamical systems with second class constrains the observables are represented by elements of a quotient Dirac bracket algebra. We describe the constraints which allow to construct families of new realizations of this algebra. The realizations are obtained as quotients of subalgebras of the Poisson algebra of first class functions. Explicite expressions for generators and brackets of the algebras under consideration are found.
منابع مشابه
ar X iv : h ep - t h / 04 12 28 6 v 2 2 4 D ec 2 00 4 Realizations of observables in Hamiltonian systems with first class constraints
In a Hamiltonian system with first class constraints observables can be defined as elements of a quotient Poisson bracket algebra. In the gauge fixing approach 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 ...
متن کامل0 v 3 9 D ec 2 00 4 New realizations of observables in dynamical systems with second class constraints
New realizations of observables in dynamical systems with second class constraints. Abstract In the Dirac bracket approach to dynamical systems with second class constraints observables are represented by elements of a quotient Dirac bracket algebra. We describe families of new realizations of this algebra through quotients of the original Poisson algebra. Explicite expressions for generators a...
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