GROUP THEORY SYMBOL

GTGetSU2Matrix

GTGetSU2Matrix[symmetry element]
gives the SU(2) matrix of a symmetry element.

DetailsDetails

  • The input of GTGetSU2Matrix can be of type symbol, matrix, quaternion, and Euler angles (compare GTSymbolQ, GTQuaternionQ or GTEulerAnglesQ).
  • See: W. Hergert, M. Geilhufe, Group Theory in Solid State Physics and Photonics. Problem Solving with Mathematica, chapter 2.

ExamplesExamplesopen allclose all

Basic Examples  (1)Basic Examples  (1)

First, load the package:

In[1]:=
Click for copyable input

Even if the actual representation is not SU(2) GTGetSU2Matrix results in the corresponding 2x2 matrix.

In[2]:=
Click for copyable input
In[3]:=
Click for copyable input
Out[3]//MatrixForm=

Whereas GTGetMatrix gives the matrix in the actual representation.

In[4]:=
Click for copyable input
Out[4]//MatrixForm=
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