GROUP THEORY SYMBOL

GTClebschGordanSum

GTClebschGordanSum[rep1,rep2]
gives the direct sum of two representations rep1 and rep2.

DetailsDetails

  • Considering two arbitrary matrix representations and of the same group. The Clebsch-Gordan sum gives a matrix representation of the form .
  • Alternatively, the symbol can be used instead of the command GTClebschGordanSum.
  • The following option can be given:
  • GOFastGOFastValueSkips the input validation
  • See: W. Hergert, M. Geilhufe, Group Theory in Solid State Physics and Photonics. Problem Solving with Mathematica, chapter 5.2.

ExamplesExamplesopen allclose all

Basic Examples  (1)Basic Examples  (1)

First, load the package:

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During the example we calculate the Clebsch-Gordan sum of the representation given by rotation matrices and of the angular momentum representation with l=1 for the point group .

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Options  (3)Options  (3)

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