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A note on the formal structure of quantum constrained systems

1997/11/07 by Carlo Rovelli, Rovelli, Carlo
Physics and Astronomy · #Black Holes and Theoretical Physics #Noncommutative and Quantum Gravity Theories #Quantum Mechanics and Applications #gr-qc

paper · pdf · doi:10.48550/arxiv.gr-qc/9711028

4 pages, no figures, revtex

arxiv created 1997/11/07 · arxiv updated 2009/11/30

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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