GROUP THEORY SYMBOL

GTJplus

GTJplus[J]
gives the raising operator for angular momentum J.

DetailsDetails

  • GTJplus gives a matrix representation of the raising operator acting on an irreducible subspace with total angular momentum quantum number J.
  • The raising 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 lowering operator, see GTJminus.
  • GTJplus 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

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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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