GROUP THEORY SYMBOL

GTClebschGordanCoefficients

GTClebschGordanCoefficients[Irep1, Irep2, Irep3]
gives an array containing Clebsch-Gordan-Coefficients for the calculation of basis functions of Irep3 within a direct product representation of Irep1 and Irep2.

DetailsDetails

  • The basis function of an irreducible representation of a direct product representation can be evaluated as a series . The coefficients are called Clebsch-Gordan-Coefficients.
  • The Clebsch-Gordan-Coefficients can be represented using GTClebschGordanTable.
  • 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, chapter 5.5.

ExamplesExamplesopen allclose all

Basic Examples  (1)Basic Examples  (1)

First, load the package:

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As an example Clebsch-Gordan-Coefficients for the point group regarding the direct product are calculated.

First, the group, the character table and the representation matrices for the irreducible representations , and are calculated.

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Now, an array of Clebsch-Gordan-Coefficients is calculated:

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Options  (3)Options  (3)

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