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_v1_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 ∗-积的计算机程序‘Fecom.nb’，该程序在 Darboux 坐标系下运行。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。程序中包含了多个排序项的流程。程序名称：Fecom.nb，目录编号：AEBU_v1_0。

问题性质：在 Darboux 图形中计算 Fedosov 形式下 Weyl 类型 ∗-积。

该程序的不同版本存储于 Mendeley 数据的 CPC 代码库中：AEBU_v1_0; Fecom.nb; 10.1016/j.cpc.2008.07.009，AEBU_v2_0; Fecom.nb; 10.1016/j.cpc.2009.10.022。

此程序已从贝尔法斯特女王大学保存的 CPC 程序库中导入，该库自 1969 年至 2019 年运行。