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Spectroscopic notation problem

  1. Dec 11, 2014 #1
    1. The problem statement, all variables and given/known data
    Consider a [itex]^3D_X[/itex] where [itex]X=3/2[/itex] state.

    a) What are the possible values of [itex]S, L, J[/itex] and [itex]J_z[/itex]?

    2. Relevant equations
    Spectroscopic notation for this LS coupling is [itex]^YL_J[/itex] where [itex]Y=2S+1[/itex]. [itex]J[/itex] ranges from[itex]|L-S|[/itex] to [itex]|L+S|[/itex]

    3. The attempt at a solution
    Since [itex]L=2[/itex] and [itex]S[/itex] must be equal to [itex]1[/itex], how can [itex]J[/itex] be a fraction? Shouldn't [itex]J[/itex] be either [itex]1, 2, 3[/itex]?
  2. jcsd
  3. Dec 11, 2014 #2


    User Avatar

    Staff: Mentor

    You are absolutely right. The problem is incorrect as it stands.
  4. Dec 11, 2014 #3
    Thanks for helping me clarify this!
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