Existence of a closed star product
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Publication:1803241
DOI10.1007/BF00420238zbMath0771.58017MaRDI QIDQ1803241
Akira Yoshioka, Hideki Omori, Yoshiaki Maeda
Publication date: 29 June 1993
Published in: Letters in Mathematical Physics (Search for Journal in Brave)
Noncommutative topology (46L85) Noncommutative differential geometry (46L87) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Canonical and symplectic transformations for problems in Hamiltonian and Lagrangian mechanics (70H15)
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Observables of angular momentum as observables on the Fedosov quantized sphere, Star products on compact pre-quantizable symplectic manifolds, Some continuous field quantizations, equivalent to the \(C^*\)-Weyl quantization, DEFORMATION QUANTIZATION: IS C1 NECESSARILY SKEW?, Deformational quantization of Poisson structures, Berezin-Toeplitz quantization for compact Kähler manifolds. A review of results, Quantization: Deformation and/or functor?, Quantization on a two-dimensional phase space with a constant curvature tensor., Berezin-Toeplitz quantization and naturally defined star products for Kähler manifolds, An explicit formula for the Berezin star product, Geometrical origin of the \(\ast\)-product in the Fedosov formalism, Quantization of emergent gravity, Traces for star products on symplectic manifolds
Cites Work
- Existence of star-products and of formal deformations of the Poisson Lie algebra of arbitrary symplectic manifolds
- Weyl manifolds and deformation quantization
- Closed star products and cyclic cohomology
- Deformation theory and quantization. I: Deformations of symplectic structures
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