TOPOLOGY CLASSES OF FLAT U(1) BUNDLES AND DIFFEOMORPHIC COVARIANT REPRESENTATIONS OF THE HEISENBERG ALGEBRA

DOI10.1142/S0217751X00002846zbMath0967.81036arXivquant-ph/9908014WikidataQ124834218 ScholiaQ124834218MaRDI QIDQ2718737

Victor M. Villanueva, Jan Govaerts

Publication date: 9 May 2001

Published in: International Journal of Modern Physics A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/quant-ph/9908014

zbMATH Keywords

gravitycurvilinear coordinatesmodular spacesinequivalent representations are parametrizedinteger holonomiesmanifestly diffeomorphic covariantnon-Abelian gauge fieldsselfadjoint configuration space representations

Mathematics Subject Classification ID

Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Geometry and quantization, symplectic methods (81S10)

Related Items

External gauge field-coupled quantum dynamics: Gauge choices, Heisenberg algebra representations and gauge invariance in general, and the Landau problem in particular

Cites Work

• A soluble gauge model with Gribov-type copies
• Fundamental algebra for quantum mechanics on S D and gauge potentials
• Significance of Electromagnetic Potentials in the Quantum Theory
• Unitary Representations of the Affine Group
• Dynamical Theory in Curved Spaces. I. A Review of the Classical and Quantum Action Principles