Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1994-04-27
Int.J.Theor.Phys.35:2057-2074,1996
Physics
High Energy Physics
High Energy Physics - Theory
Significant revision, title/authors change, reflects published version
Scientific paper
We analyze the quantization of dynamical systems that do not involve any background notion of space and time. We give a set of conditions for the introduction of an intrinsic time in quantum mechanics. We show that these conditions are a generalization of the usual procedure of deparametrization of relational theories with hamiltonian constraint that allow to include systems with an evolving Hilbert Space. We apply our quantization procedure to the parametrized free particle and to some explicit examples of dynamical system with an evolving Hilbert space. Finally, we conclude with some considerations concerning the quantum gravity case.
Doldan Ricardo
Gambini Rodolfo
Mora Pablo
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