Reduction of quantum systems and the local Gauss law

DOI10.1007/S11005-018-1092-XzbMath1402.81171arXiv1705.05259OpenAlexW3099350595WikidataQ58132982 ScholiaQ58132982MaRDI QIDQ1620905

Ruben Stienstra, Walter D. van Suijlekom

Publication date: 14 November 2018

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.05259

zbMATH Keywords

unbounded operatorsoperator algebrasquantum symmetry reduction

Mathematics Subject Classification ID

Applications of Lie (super)algebras to physics, etc. (17B81) Applications of Lie groups to the sciences; explicit representations (22E70) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Applications of functional analysis in quantum physics (46N50) Operator algebra methods applied to problems in quantum theory (81R15)

Cites Work

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• Reduction of symplectic manifolds with symmetry
• Rieffel induction as generalized quantum Marsden-Weinstein reduction
• Induced representations of C\(^*\)-algebras
• Spin networks in gauge theory
• Charge superselection sectors for QCD on the lattice
• On the Gauss law and global charge for quantum chromodynamics
• C*-ALGEBRAS GENERATED BY UNBOUNDED ELEMENTS
• Generalized Hamiltonian Dynamics
• Lie groups

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