On the dequantization of Fedosov's deformation quantization

被引：11

作者：

Karabegov, AV ^{[1
]}

机构：

[1] Abilene Christian Univ, Dept Math & Comp Sci, Abilene, TX 79699 USA

来源：

LETTERS IN MATHEMATICAL PHYSICS | 2003年 / 65卷 / 02期

关键词：

deformation quantization; dequantization; Poisson morphism;

D O I：

10.1023/B:MATH.0000004360.04046.3a

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

To each natural deformation quantization on a Poisson manifold M we associate a Poisson morphism from the formal neighborhood of the zero section of T* M to the formal neighborhood of the diagonal of the product M x (M) over tilde, where (M) over tilde is a copy of M with the opposite Poisson structure. We call it dequantization of the natural deformation quantization. Then we 'dequantize' Fedosov's quantization.

引用

页码：133 / 146

页数：14

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