On quantum mechanics of \(n\)-particle systems on 2-manifolds -- a case study in topology

DOI10.1016/S0393-0440(98)00070-9zbMath0976.53095OpenAlexW1984303475MaRDI QIDQ1305346

J. D. Hennig, W. Groth, H. D. Doebner

Publication date: 13 January 2002

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0393-0440(98)00070-9

zbMATH Keywords

flat connectionHermitian line bundleBorel quantization

Mathematics Subject Classification ID

Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Geometry and quantization, symplectic methods (81S10) Geometric quantization (53D50)

Related Items (2)

Exclusion bounds for extended anyons ⋮ Non-abelian quantum statistics on graphs

Cites Work

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• Topological spin-statistics relation in quantum field theory
• Anyons and quantum groups
• The braid groups of \(E^ 2\) and \(S^ 2\)
• Theory of braids
• Vector bundles over configuration spaces of nonidentical particles: Topological potentials and internal degrees of freedom
• QUANTIZATION OF KINEMATICS ON CONFIGURATION MANIFOLDS
• Borel quantum kinematics of rank k on smooth manifolds
• Configuration Spaces.
• On braid groups
• Quantization and unitary representations

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