Questions on quantization

Abstract

We pose 22 relatively general questions about quantization in the operator algebra setting. In the process we briefly survey some recent developments.

14 pages LATEX. Submitted to the Proceedings of the International Conference on Operator Algebras and Operator Theory held in Shanghai (July 4-July 9, 1997)

References in corpus (10)

• Deformation quantization of Poisson manifolds, I
• Toeplitz Quantization of Kähler Manifolds and $gl(N)$ $N\to \infty$
• Subalgebras with Converging Star Products in Deformation Quantization: An Algebraic Construction for $\complex \mbox{\LARGE P}^n$
• Non-compact quantum groups arising from Heisenberg type Lie bialgebras
• On the operator algebra for the space-time uncertainty relations
• Dynamics as Shadow of Phase Space Geometry
• Deformation quantization of compact Kähler manifolds via Berezin-Toeplitz operators
• The quantization of constrained systems: from symplectic reduction to Rieffel induction
• Is Quantization Geometry?
• Deformation Quantization via Fell Bundles

Cited by in corpus (12)

• Deformation quantization of Poisson manifolds, I
• Noncommutative Field Theory
• Obstructions to Quantization
• Obstruction Results in Quantization Theory
• Variations on deformation quantization
• Berezin-Toeplitz quantization for compact Kaehler manifolds. A Review of Results
• Convergence of the Gutt Star Product
• On the Fedosov Deformation Quantization beyond the Regular Poisson Manifolds
• Comparison and Continuity of Wick-type Star Products on certain coadjoint orbits
• Quantum polydisk, quantum ball, and a q-analog of Poincaré's theorem
• A Negative Answer to a Question by Rieffel
• Convergence of the Gutt Star Product: A strict Deformation Quantization