Compatible symplectic connections on a cotangent bundle and the Fedosov quantization

被引：2

作者：

Tosiek, Jaromir ^{[1
]}

机构：

[1] Tech Univ Lodz, Inst Phys, PL-90924 Lodz, Poland

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2011年 / 52卷 / 02期

关键词：

DEFORMATION QUANTIZATION; STAR PRODUCTS; PHASE-SPACE; REPRESENTATIONS; MANIFOLDS;

D O I：

10.1063/1.3549588

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A global construction of a family of symplectic connections on a cotangent bundle compatible with some linear symmetric connection on the base space is proposed. Examples of the compatible symplectic connections are given. A detailed analysis of an Abelian connection and of flat sections for this kind of symplectic connection in the Fedosov algorithm are presented. Some properties of the *-product determined by the compatible symplectic connection are shown. (C) 2011 American Institute of Physics. [doi:10.1063/1.3549588]

引用

页数：26

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