Homogeneous Fedosov star products on cotangent bundles. I: Weyl and standard ordering with differential operator representation
type: Item
instance of: scholarly article
title: Homogeneous Fedosov star products on cotangent bundles. I: Weyl and standard ordering with differential operator representation
zbMATH Open document ID: 0968.53056
author: Martin Bordemann
author: Stefan Waldmann
author: Nikolai Alexander Neumaier
published in: Communications in Mathematical Physics
publication date: 1999-06-29T00:00:00Z
full work available at URL: https://arxiv.org/abs/q-alg/9707030
review text: The authors deal with the construction of homogeneous star products of Weyl type on every cotangent bundle \(T^*Q\) by means of the Fedosov procedure using a symplectic torsion-free connection on \(T^*Q\) which is homogeneous of degree zero with respect to the Liouville vector field. The main motivation for the authors was to apply the formal GNS construction in deformation quantization to the particular case of \(T^*Q\). Motivated by the flat case \(T^*\mathbb{R}^N\) another homogeneous star product of Weyl type corresponding to the Weyl ordering prescription is constructed.
Mathematics Subject Classification ID: 53D55
Mathematics Subject Classification ID: 37J05
Mathematics Subject Classification ID: 53D50
zbMATH DE Number: 1282452
zbMATH Keywords: homogeneous star product
zbMATH Keywords: Fedosov procedure
zbMATH Keywords: Liouville vector field
zbMATH Keywords: quantization
reviewed by: Messoud Efendiev
MaRDI profile type: Publication
OpenAlex ID: W2073455312
arXiv ID: q-alg/9707030
DOI: 10.1007/S002200050481
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description: scientific article