Group Theory in Physics (Spring, 2008)


Textbooks

  • W.K.Tung, "Group Theory in Physics", World Scientific (1985)
  • J.F.Cornwell, "Group Theory in Physics", Volume I, Academic Press (1984)
  • Web Resources

    Chemical Society website on Symmetry & Spectroscopy
  • Local Mirror ...... zipped

    Supplementary notes

  • The following files contain detailed mathematical derivation of Tung's textbook.
  • Both nb & pdf versions contain the same content.
  • ( There are no Mathematica calculations in the nb files. )

    Chap Title File Last Updated
    1 Introduction pdf ... nb 08/20/2013 .. 08/20/2013
    2 Basic Group Theory pdf ... nb 08/20/2013 .. 08/20/2013
    3 Group Representations pdf ... nb 08/20/2013 .. 08/20/2013
    4 General Properties of Irreducible Vectors and Operators pdf ... nb 08/20/2013 .. 08/20/2013
    5 Representations of the Symmetric Groups pdf ... nb 08/20/2013 .. 08/20/2013
    6 One-Dimensional Continuous Groups pdf ... nb 08/20/2013 .. 08/20/2013
    App.I Notations & Symbols pdf ... nb 08/20/2013 .. 08/20/2013
    App.III Group Algebra & Regular Representation pdf ... nb 08/20/2013 .. 08/20/2013
    C3v pdf ... nb 08/20/2013 .. 08/20/2013
    Projection Operators pdf ... nb 08/20/2013 .. 08/20/2013
    Tensor pdf ... nb 08/20/2013 .. 08/20/2013
    Matrix pdf ... nb 08/20/2013 .. 08/20/2013


    Lectures ( Powerpoint format )

    File Title Zipped Last Updated
    Chapter 1 Introduction zipped Aug 20, 2013
    Chapter 2 Basic Group Theory zipped Aug 20, 2013
    Chapter 3 Group Representations zipped Aug 20, 2013
    Chapter 3 Group Representations: with explicit summation notations zipped Aug 20, 2013
    Completeness Aug 20, 2013
    Example 7, Sec 3.1 Aug 20, 2013
    Package Molecule.m Aug 20, 2013
    Tutorial for Molecule.m Aug 20, 2013
    Chapter 4 General Properties of Irreducible Vectors and Operators zipped Aug 20, 2013
    Chapter 4 General Properties of Irreducible Vectors and Operators: with new notations zipped Aug 20, 2013
    Chapter 5 Representations of the Symmetric Groups zipped Aug 20, 2013
    Chapter 6 One-Dimensional Continuous Groups zipped Aug 20, 2013
    Chapter 7 Rotations in Three-Dimensional Space -- The Group SO(3) zipped Aug 20, 2013
    Chapter 8 The Group SU(2) and more about SO(3); Revised version zipped Aug 20, 2013
    R_New.nb Aug 20, 2013
    Chapter AIII Group Algebra & the Reduction of the Regular Representation zipped Aug 20, 2013
    Chapter AIV Supplement to the Theory of Symmetric Group Sn zipped Aug 20, 2013

    All-in-one zip file version:
    Notes: pdf version ... Last updated Aug 20, 2013
    Powerpoint ... Last updated Aug 20, 2013

    Mathematica notebook directory is Here .... zipped

    Work in Progress:

  • Chapter 9 Euclidean Groups in Two-Dimensional Space
  • Chapter 10 The Lorentz and Poincare Groups, and Space-Time Symmetries
  • Chapter 11 Space Inversion Invariance
  • Chapter 12 Time Reversal Invariance
  • Chapter 13 Finite-Dimensional Representations of the Classical Groups
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