GROUP THEORY SYMBOL

GTJminus

GTJminus[J]
gives the lowering operator for angular momentum J.

DetailsDetails

  • GTJminus gives a matrix representation of the raising operator acting on an irreducible subspace with total angular momentum quantum number J.
  • The lowering operator acts as J-|j; m> = |j; m-1>
  • J- is related to Jx and Jy: J-= Jx - i Jy (see GTJx and GTJy)
  • For the corresponding raising operator, see GTJplus.
  • GTJminus 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

ExamplesExamplesopen allclose all

Basic Examples  (3)Basic Examples  (3)

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

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Verify action of J- and normalization.

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Neat Examples  (1)Neat Examples  (1)

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