GroupTheory`
GroupTheory`

GTJz

GTJz[J]

gives the z component of the total angular momentum operator for angular momentum J.

Details and Options

  • GTJz gives a matrix representation of the x component of the total angular momentum operator acting on an irreducible subspace with quantum number J.
  • GTJz 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

Examples

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Basic Examples  (2)

Calculate the expectation value of the z-component of the angular momentum operator for a a pure state.

Neat Examples  (1)

Verify corresponding commutation relations.