An explicit formula for the natural and conformally invariant quantization

DOI10.1007/s11005-009-0335-2zbMath1179.53014arXiv0902.1543OpenAlexW2005236045MaRDI QIDQ1034792

Fabian Radoux

Publication date: 6 November 2009

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

Full work available at URL: https://arxiv.org/abs/0902.1543

zbMATH Keywords

differential operatorsquantization mapsconformal Cartan connectionsnatural maps

Mathematics Subject Classification ID

Geometric quantization (53D50) Linear and affine connections (53B05) (G)-structures (53C10)

Related Items

Conformally invariant quantization -- towards the complete classification, Projectively equivariant quantizations over the superspace \({\mathbb{R}^{p|q}}\), On conformal higher spins in curved background, Higher symmetries of the Laplacian via quantization, Conformal geometry of the supercotangent and spinor bundles

Cites Work

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• Higher symmetries of the Laplacian
• Explicit formula for the natural and projectively equivariant quantization
• Conformally equivariant quantum Hamiltonians
• Conformally equivariant quantization: existence and uniqueness
• Projectively equivariant symbol calculus
• Formula for the projectively invariant quantization on degree three
• Existence of Natural and Conformally Invariant Quantizations of Arbitrary Symbols
• Invariant operators on manifolds with almost Hermitian symmetric structures, I. Invariant differentiation
• Cartan connections and natural and projectively equivariant quantizations
• Projectively equivariant quantization and symbol calculus: noncommutative hypergeometric functions.