STATES AND REPRESENTATIONS IN DEFORMATION QUANTIZATION

DOI10.1142/S0129055X05002297zbMath1138.53316arXivmath/0408217MaRDI QIDQ5386904

Stefan Waldmann

Publication date: 14 May 2008

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

Full work available at URL: https://arxiv.org/abs/math/0408217

zbMATH Keywords

statesdeformation quantizationrepresentation theoryMorita equivalenceDirac monopoleRieffel inductionPicard groupoid

Mathematics Subject Classification ID

Poisson manifolds; Poisson groupoids and algebroids (53D17) Geometry and quantization, symplectic methods (81S10) Deformation quantization, star products (53D55) Quantizations, deformations for selfadjoint operator algebras (46L65)

Related Items (19)

LOCALLY NONCOMMUTATIVE SPACE-TIMES ⋮ The \(H\)-covariant strong Picard groupoid ⋮ Quantum trajectories ⋮ A universal construction of universal deformation formulas, Drinfeld twists and their positivity ⋮ Algebraic approach to quantum field theory on a class of noncommutative curved spacetimes ⋮ Convergence of star products: from examples to a general framework ⋮ Deformation quantization as an appropriate guide to ontic structure ⋮ Classical limits of gauge-invariant states and the choice of algebra for strict quantization ⋮ Quantization via deformation of prequantization ⋮ QFT on homothetic Killing twist deformed curved spacetimes ⋮ Classical limits of unbounded quantities by strict quantization ⋮ Convergence of the Wick star product ⋮ The damped harmonic oscillator in deformation quantization ⋮ Deformation quantization of a certain type of open systems ⋮ Formal series of generalized functions and their application to deformation quantization ⋮ THE COVARIANT PICARD GROUPOID IN DIFFERENTIAL GEOMETRY ⋮ Phase space quantum mechanics ⋮ Quantization of emergent gravity ⋮ Hermitian star products are completely positive deformations

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