A natural basis of states for the noncommutative sphere and its Moyal bracket

DOI10.1063/1.532003zbMath0881.46050arXivq-alg/9703038OpenAlexW3106340820MaRDI QIDQ4351648

Jonathan Gratus

Publication date: 28 August 1997

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

Full work available at URL: https://arxiv.org/abs/q-alg/9703038

zbMATH Keywords

homogeneous polynomialsHahn polynomialsfuzzy sphereMoyal bracketBerezin quantum sphereeigenvectors of a Laplaciannondecomposable reducible representation of su(2)spherical harmonics for the sphere

Mathematics Subject Classification ID

Noncommutative differential geometry (46L87)

Related Items (3)

A natural basis for spinor and vector fields on the noncommutative sphere ⋮ A noncommutative geometric analysis of a sphere-torus topology change ⋮ Time evolution of coupled spin systems in a generalized Wigner representation

Cites Work

• General concept of quantization
• The construction of noncommutative manifolds using coherent states
• Area-preserving diffeomorphisms and supermembrane Lorentz invariance
• Application of the star-product method to the angular momentum quantization
• Chirality and Dirac operator on noncommutative sphere
• A star product on the spherical harmonics
• Finite quantum field theory in noncommutative geometry
• ALGEBRAIC CONNECTIONS ON PARALLEL UNIVERSES
• Quantization on the sphere
• The commutative limit of a matrix geometry
• QUANTIZATION
• Linear connections on matrix geometries

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