Weyl-Underhill-Emmrich quantization and the Stratonovich-Weyl quantizer

Abstract

Weyl-Underhill-Emmrich (WUE) quantization and its generalization are considered. It is shown that an axiomatic definition of the Stratonovich-Weyl (SW) quantizer leads to severe difficulties. Quantization on the cylinder within the WUE formalism is discussed.

15+1 pages, no figures

References in corpus (2)

• Deformation quantization of Poisson manifolds, I
• Homogeneous Fedosov Star Products on Cotangent Bundles I: Weyl and Standard Ordering with Differential Operator Representation