The Fedosov ∗-product in Mathematica

Abstract
The computer program 'Fecom.nb' implementing the Fedosov *-product in Darboux coordinates is presented. It has been written in Mathematica 6.0 but it can be easily modified to be run in some earlier version of Mathematica. To optimize computations elements of the Weyl algebra are treated as polynomials. Several procedures which order the terms are included.

Title of program: Fecom.nb
Catalogue Id: AEBU_v2_0

Nature of problem
Computing the *-product of the Weyl type in the Fedosov formalism in a Darboux chart

Versions of this program held in the CPC repository in Mendeley Data
AEBU_v1_0; Fecom.nb; 10.1016/j.cpc.2008.07.009
AEBU_v2_0; Fecom.nb; 10.1016/j.cpc.2009.10.022

This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2019)

摘要：本文介绍了实现 Fedosov 乘积的计算机程序 'Fecom.nb'，该程序在 Darboux 坐标下进行运算。该程序采用 Mathematica 6.0 编写，但可轻松修改以在 Mathematica 的早期版本中运行。为了优化计算，将 Weyl 代数元素视为多项式处理。程序中包含多个排序项的步骤。

程序名称：Fecom.nb
目录编号：AEBU_v2_0

问题性质：在 Darboux 图中计算 Fedosov 形式下 Weyl 类型的乘积。

此程序版本存储在 CPC 程序库中，位于 Mendeley 数据，版本信息如下：
AEBU_v1_0; Fecom.nb; 10.1016/j.cpc.2008.07.009
AEBU_v2_0; Fecom.nb; 10.1016/j.cpc.2009.10.022

该程序已从贝尔法斯特女王大学（1969-2019年）所持有的 CPC 程序库中导入。