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arXiv · 1705.05259

Reduction of quantum systems and the local Gauss law

Ruben Stienstra·Walter D. van Suijlekom
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Abstract

We give an operator-algebraic interpretation of the notion of an ideal generated by the unbounded operators associated to the elements of the Lie algebra of a Lie group that implements the symmetries of a quantum system. We use this interpretation to establish a link between Rieffel induction and the implementation of a local Gauss law in lattice gauge theories similar to the method discussed by Kijowski and Rudolph in [5, 6].

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Ruben Stienstra, Walter D. van Suijlekom. 2017-05-15. Reduction of quantum systems and the local Gauss law. https://doi.org/10.1007/s11005-018-1092-x

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