Compatible symplectic connections on a cotangent bundle and the Fedosov quantization

DOI10.1063/1.3549588zbMath1314.81122arXiv0907.4911OpenAlexW3106386282WikidataQ125372753 ScholiaQ125372753MaRDI QIDQ5256208

Jaromir Tosiek

Publication date: 22 June 2015

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

Full work available at URL: https://arxiv.org/abs/0907.4911

Mathematics Subject Classification ID

Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Geometry and quantization, symplectic methods (81S10) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30) Geometric quantization (53D50)

Cites Work

• Regular * representations of Lie algebras
• Deformation theory and quantization. II: Physical applications
• Fedosov manifolds
• Homogeneous Fedosov star products on cotangent bundles. II: GNS representations, the WKB expansion, traces, and applications
• A variational principle for symplectic connections
• A simple geometrical construction of deformation quantization
• Natural star products on symplectic manifolds and quantum moment maps
• On the Quantum Correction For Thermodynamic Equilibrium
• Fedosov quantization on symplectic ringed spaces
• SYMPLECTIC CONNECTIONS
• On the principles of elementary quantum mechanics
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