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)