GROUP THEORY SYMBOL

GTWignerProjectionOperator

GTWignerProjectionOperator[group,irep,l,m,i,j]
applies the projection operator on spherical harmonics.

DetailsDetails

  • The rotation of spherical harmonics, using Euler angles is given by . is an arbitrary group element and is 1 for proper and -1 for improper rotations. is the WignerD-Function. Using this definition, the projection operator of the column and the row of the irreducible representation can be calculated by
  • The spherical harmonics are given algebraically and can be replaced by SphericalHamonicY or GTTesseralHarmonicY.
  • The following option can be given:
  • GOFastGOFastValueControls the input validation
  • See: W. Hergert, M.Geilhufe, Group Theory in Solid State Physics and Photonics. Problem Solving with Mathematica

ExamplesExamplesopen allclose all

Basic Examples  (1)Basic Examples  (1)

First, load the package:

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The example is based on the point group

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Options  (2)Options  (2)

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