GROUP THEORY SYMBOL

GTJx

GTJx[J]
gives the x component of the total angular momentum operator for angular momentum J.

DetailsDetails

  • GTJx gives a matrix representation of the x component of the total angular momentum operator acting on an irreducible subspace with quantum number J.
  • Jx is related to the raising operator J+ and lowering operator J- by Jx=(J++J-)/2 (see GTJplus, GTJminus)
  • GTJx is a GTPack command [1,2].
  • [1] W. Hergert, R. M. Geilhufe, Group Theory in Solid State Physics and Photonics: Problem Solving with Mathematica, Wiley-VCH, 2018 [2] 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