A Heisenberg algebra bundle of a vector field in three-space and its Weyl quantization

被引：0

作者：

Binz, E ^{[1
]}

Pods, S ^{[1
]}

机构：

[1] Univ Mannheim, Lehrstuhl Math 1, D-63131 Mannheim, Germany

来源：

QUANTUM THEORY: RECONSIDERATION OF FOUNDATIONS - 3 | 2006年 / 810卷

关键词：

complex line bundles; Heisenberg algebras; Heisenberg groups; field quantization; Weyl quantization;

D O I：

暂无

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In these notes we associate a natural Heisenberg group bundle H-a with a singularity free smooth vector field X = (id,a) on a submanifold M in a Euclidean three-space. This bundle yields naturally an infinite dimensional Heisenberg group H-X(infinity). A representation of the C*-group algebra of H-X(infinity) is a quantization. It causes a natural Weyl-deformation quantization of X. The influence of the topological structure of M on this quantization is encoded in the Chem class of a canonical complex line bundle inside H-a.

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页码：67 / +

页数：2