GROUP THEORY SYMBOL

GTSpinCharacters

GTSpinCharacters[classes]
gives the character of the spinor representation for each class.

DetailsDetails

  • For each double group a representation using rotation matrices in spin space can be found. This representation is not faithful in general. For a rotation of an angle about the axis , the rotation matrices are given by . are the Pauli matrices and is the 2-dimensional identity matrix. For the representation of the inversion the Pauli-gauge is used, where the inversion is represented by .
  • The following option can be given:
  • GOFastGOFastValueSkips the input validation
  • See: S. L. Altmann, Rotations, Quaternions and Double Groups, Dover Publications, Inc., 2005
  • W. Hergert, M. Geilhufe, Group Theory in Solid State Physics and Photonics. Problem Solving with Mathematica, chapter 8.6.

ExamplesExamplesopen allclose all

Basic Examples  (1)Basic Examples  (1)

First, load the package:

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As an example, the characters of the spinor representation for the double group are calculated.

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Out[3]=
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Out[4]=

Options  (2)Options  (2)

Applications  (1)Applications  (1)

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