GroupTheory`
GroupTheory`

GTJMatrix

GTJMatrix[J,element]

gives the y representationmatrix for an element of an irreducible representation J of O(3).

Details and Options

  • The formulation of irreducible representations of O(3) follows [1].
  • GTJMatrix is a GTPack command [2, 3].
  • The basis functions are denoted by Y[J,m].
  • [1] Altman, S. L., Rotations, quaternions, and double groups. Chapter 14. Clarendon, 1986
    [2] W. Hergert, R. M. Geilhufe, Group Theory in Solid State Physics and Photonics: Problem Solving with Mathematica, Wiley-VCH, 2018 [3] R. M. Geilhufe, W. Hergert, GTPack: A Mathematica group theory package for applications in solid-state physics and photonics, Frontiers in Physics, 6:86, 2018

Examples

Basic Examples  (2)

For J=1/2 GTJMatrix is equivalent to GTGetSU2Matrix.