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
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]
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页数:26
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