GroupTheory`
GroupTheory`

GTClebschGordanTable

GTClebschGordanTable[Γ1,Γ2,Clebsch-Gordan coefficients,names]

represents a list of Clebsch-Gordan coefficients calculated for the direct product representation .

Details and Options

  • The direct product representation is in general reducible, i. e. . The names of the irreducible representations occurring on the right hand side of the decomposition have to be given within the list names.
  • See: W. Hergert, M. Geilhufe, Group Theory in Solid State Physics and Photonics. Problem Solving with Mathematica, chapter 5.5

Examples

Basic Examples  (1)

First, load the package:

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

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

Finally, the results are presented via GTClebschGordanTable: