GROUP THEORY SYMBOL

GTJTransform

GTJTransform[J, m, element]

applies a symmetry transformation to the basis functions of a symmetry element of an irreducible representation J of O(3).

DetailsDetails

  • The action of a symmetry element on a basis function of an irreducible representation of O(3) follows [1].
  • GTJTransform is a GTPack command [2, 3].
  • The basis functions are denoted by Y[J,m].
  • [1] Altman, S. L., Rotations, quaternions, and double groups. Chapter 14. Clarendon, 1986
    [2] W. Hergert, R. M. Geilhufe, Group Theory in Solid State Physics and Photonics: Problem Solving with Mathematica, Wiley-VCH, 2018 [3] R. M. Geilhufe, W. Hergert, GTPack: A Mathematica group theory package for applications in solid-state physics and photonics, Frontiers in Physics, 6:86, 2018

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Basic Examples  (2)Basic Examples  (2)

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GTJTransform is closely related to GTJMatrix which gives the corresponding transformation matrix.

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