GROUP THEORY SYMBOL

GTVectorRep

GTVectorRep[character table]
gives the vector representation of a point group with character table.

DetailsDetails

  • The vector representation is the direct sum of irreducible representations of a point group, describing the transformation of a vector. The transformation of a vector is represented by the transformation matrices of a point group. Those matrices form an irreducible or reducible representation of the corresponding point group. The decomposition in the irreducible representations is found.
  • The problem can be formulates in another way. One has to find to which irreducible representations the functions , , belong as basis functions.
  • The following options can be given:
  • GOVerboseTrueControls the output of additional information
  • 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 group will be installed.

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The character table is calculated.

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The characters of all symmetry elements are calculated.

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The vector representation is .

The representation of is reducible with respect to the point group , i.e. the vector representation of will be a direct sum of irreducible representations of .

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Options  (1)Options  (1)

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