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Laurin J. Felder edited this page Mar 22, 2023 · 41 revisions

Welcome to the

wiki!

ATTENTION: This page is still under construction!

What is QMGsurvey?

QMGsurvey is a Mathematica based program that can be used to analyse quantum matrix geometries, based on the algorithms from arXiv:2301.10206 (from now on [1]).

This Wiki assumes familiarity with the theory and constructions from [1]. This especially includes the sections 2.2, 2.4 and 3. For further reference, see for example arXiv:2009.03400 by Harold Steinacker on which the constructions from [1] is based.

"Matrix configurations coming from matrix models comprise many important aspects of modern physics. They represent special quantum spaces and are thus strongly related to noncommutative geometry." [1]. This package allows to analyze and visualize arbitrary matrix configurations, while a main aspect is the numerical implementation of a quantization map.

Usage

In order to use QMGsurvey, Mathematica has to be installed. QMGsurvey has been debeloped using Mathematica 13.1. Download the files QMGsurvey.wl and QMGxX.wl and create a new Mathematica notebook. Import both packages via

<< "\path\to\file\\QMGsurvey.wl"
<< "\path\to\file\\QMGxX.wl"

where "\path\to\file" is the directory conaining the files. Alternatively, by downloading the whole package, you can directly execute the examples in the folder "examples".

Documentation

Developed using Mathematica 13.1

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