\(C^*\)-algebraic quantization and the origin of topological quantum effects

DOI10.1007/BF00417225zbMath0738.46033OpenAlexW2000743638MaRDI QIDQ1813825

Nicolaas P. Landsman

Publication date: 25 June 1992

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

Full work available at URL: https://doi.org/10.1007/bf00417225

zbMATH Keywords

configuration spaceconvolution productquantizationsymmetric spacelocally compact groupirreducible representationsmagnetic monopolecrossed productAharonov-Bohm effectsemidirect product bundle

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) Applications of selfadjoint operator algebras to physics (46L60) Applications of functional analysis in quantum physics (46N50)

Related Items

The classical limit of a state on the Weyl algebra, Algebraic quantization, good operators and fractional quantum numbers, C-statistical quantum groups and Weyl algebras, Classical limits of gauge-invariant states and the choice of algebra for strict quantization, Einstein completeness as categoricity, Why be regular? I., Why be regular? II., Quantum mechanics on manifolds and topological effects, Manifold topology, observables, and gauge group, Emergent gauge symmetries and quantum operations

Cites Work

• Analytic vectors, anomalies and star representations
• Topological quantization and cohomology
• Deformation theory and quantization. I: Deformations of symplectic structures
• Deformation quantization of Heisenberg manifolds
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• Significance of Electromagnetic Potentials in the Quantum Theory
• Hopf algebras for physics at the Planck scale
• Quantised singularities in the electromagnetic field,
• An Algebraic Approach to Quantum Field Theory
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