Weyl transformations on manifolds I. Definitions and isomorphism theorems

DOI10.1007/BF02560130zbMath0799.58083OpenAlexW1999974359MaRDI QIDQ4290689

Min Qian, Lianchao Xu

Publication date: 17 November 1994

Published in: Acta Mathematica Sinica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02560130

zbMATH Keywords

Riemannian manifoldWeyl transformation

Mathematics Subject Classification ID

Axiomatic quantum field theory; operator algebras (81T05) Global Riemannian geometry, including pinching (53C20) Geometric quantization (53D50) Correspondences and other transformation methods (e.g., Lie-Bäcklund) for PDEs on manifolds (58J72)

Related Items (1)

Weyl transformations on manifolds. II: Generalized trace and inverse mapping formula

Cites Work

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• Generalized Weyl transformation
• Deformation theory and quantization. I: Deformations of symplectic structures
• An algebra of pseudodifferential operators and the asymptotics of quantum mechanics
• Calculus for Functions of Noncommuting Operators and General Phase-Space Methods in Quantum Mechanics. II. Quantum Mechanics in Phase Space
• Quantization on a manifold with connection
• The weyl calculus of pseudo-differential operators
• Mathematical Aspects of the Weyl Correspondence

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