GROUP THEORY SYMBOL

GTAngularMomentumRep

GTAngularMomentumRep[group,j]
gives a (2j+1)-dimensional matrix representation of O(3) using the WignerD-function.

DetailsDetails

  • With the help of the WignerD-function a matrix representation for any point group can be calculated. The WignerD-function can be calculated using WignerD.
  • The following options can be given:
  • GOFastGOFastValueControls the input validation
    GOHarmonics"Complex"Decides, which kind of spherical harmonics are used
  • See: W. Hergert, M. Geilhufe, Group Theory in Solid State Physics and Photonics. Problem Solving with Mathematica, chapter 7.4.

ExamplesExamplesopen allclose all

Basic Examples  (2)Basic Examples  (2)

First, load the package:

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A matrix representation corresponding to l=1 is calculated for the point group :

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Out[3]=
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Out[1]=

Options  (3)Options  (3)

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