Mathematica Packages for Physicists

Contents

This repository contains Mathematica packages and stylesheets that are useful to my daily research.

• Packages

  • PauliAlgebra: symbolic handling the algebra and representation of Pauli operators

  • LoopIntegrate: performing loop integration in quantum field theory (with dimension regularization)

  • MatsubaraSum: performing Matsubara summation analytically

  • DiagramEditor: an interactive editor of Feynman diagrams (no diagrammatic evaluation)

  • Themes: a self-made plot theme for Mathematica, called "Academic" (see the StackExchange discussion Is it possible to define a new PlotTheme?)

  • Toolkit: miscellaneous functions, including BZPlot for plotting band structure, tTr for tensor network contraction, ComplexMatrixPlot for complex matrix visualization, Pf for matrix Pfaffian

• Stylesheets

  • CMU Article: a Mathematica style sheet based on Computer Modern Unicode fonts (the fonts need to be installed separately to the operating system, and the font files can be found in ./CMUfonts)

• FrontEnd Configuration

For more details, please read the User's Guide (Mathematica) (PDF)

Installation

• To download, click the "download ZIP" button to the right -->

• To install everything:

  1. unzip this repository in a folder,

  2. open install.m in Mathematica,

  3. click the Run Package button to the top right,

  4. quit Mathematica and restart.