Reduction of quantum systems and the local Gauss law.

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ID: 72151
2018
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Abstract
We give an operator-algebraic interpretation of the notion of an ideal generated by the unbounded operators associated with 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 (J Math Phys 43:1796-1808, 2002; J Math Phys 46:032303, 2004).
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stienstra2018reductionletters Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors Stienstra, Ruben;van Suijlekom, Walter D;
Journal letters in mathematical physics
Year 2018
DOI
10.1007/s11005-018-1092-x
URL
Keywords
operator algebras quantum symmetry reduction unbounded operators

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