A deformation-theoretical approach to Weyl quantization on Riemannian manifolds

DOI10.1023/A:1007452215293zbMath0995.53057OpenAlexW1593914013MaRDI QIDQ1273056

Markus J. Pflaum

Publication date: 2 March 1999

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

Full work available at URL: https://doi.org/10.1023/a:1007452215293

zbMATH Keywords

deformation quantizationstar productspseudodifferential operatorssymbol calculuscotangent bundles

Mathematics Subject Classification ID

Deformation quantization, star products (53D55)

Related Items (16)

On representations of star product algebras over cotangent spaces on Hermitian line bundles. ⋮ Traces for Star Products on the Dual of a Lie Algebra ⋮ An algebraic index theorem for orbifolds ⋮ Pseudodifferential Weyl calculus on (Pseudo-)Riemannian manifolds ⋮ Convergent star products on cotangent bundles of Lie groups ⋮ A dynamical zeta function for pseudo Riemannian foliations ⋮ STATES AND REPRESENTATIONS IN DEFORMATION QUANTIZATION ⋮ The localized longitudinal index theorem for Lie groupoids and the Van Est map ⋮ Morita theory for Hopf algebroids, principal bibundles, and weak equivalences ⋮ Cyclic cocycles on deformation quantizations and higher index theorems ⋮ Algebraic Rieffel induction, formal Morita equivalence, and applications to deformation quantization. ⋮ Bloch theory and quantization of magnetic systems ⋮ Homogeneous Fedosov star products on cotangent bundles. II: GNS representations, the WKB expansion, traces, and applications ⋮ Deformation quantization on cotangent bundles ⋮ Deformation quantization on the cotangent bundle of a Lie group ⋮ Traces for star products on symplectic manifolds

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