A note on the formal structure of quantum constrained systems

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

Scientific paper

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4 pages, no figures, revtex

Scientific paper

The space of the solutions of Dirac's quantum constraints cannot be constructed factoring the quantum state space by the ``simple'' gauge transformations generated by the constraints. However, we show here that it can be constructed by factoring the state space by suitably defined ``complete'' gauge transformations. These are generated by the action of the quantum constraints on individual components of the quantum state.

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