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Mathematica Packages for Physicists

The GitHub repocitory Mathematica-for-physics contains Mathematica packages and stylesheets that are useful to my daily research.

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

Contents

  • 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

    • 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 CMU fonts need to be installed separately to the operating system)

Installation

  • To download, visit the GitHub repository Mathematica-for-physics, click “Clone or download” button to the right and choose “Download ZIP”.

  • 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.

  • In order for the CMU Article style sheet to work properly, Computer Modern Unicode fonts must be installed. (The font files can be found here.)

Mathematica