The Fedosov *-product in Mathematica
Jaromir Tosiek
TL;DR
This paper presents a Mathematica program implementing the Fedosov *-product in Darboux coordinates, facilitating symbolic computations in deformation quantization with optimized polynomial handling and multiple ordering procedures.
Contribution
The paper introduces `Fecom.nb`, a Mathematica implementation of the Fedosov *-product, adaptable to earlier Mathematica versions, enhancing computational tools in deformation quantization.
Findings
Efficient implementation of Fedosov *-product in Mathematica
Supports multiple term ordering procedures
Optimized polynomial handling for Weyl algebra elements
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. The program is available at the web page http://cpc.cs.qub.ac.uk/summaries/AEBU_v1_0.html
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