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A note on the formal structure of quantum constrained systems

Carlo Rovelli
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Abstract

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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Carlo Rovelli. 1997-11-07. A note on the formal structure of quantum constrained systems. https://arxiv.org/abs/gr-qc/9711028

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