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Finding the possible values of Lz

  1. Jun 6, 2008 #1
    Hi,

    I just came across a question that goes like this:

    Consider an electron in a state |l=3, s=1/2, j=5/2,mj=3/2>

    1) Find the possible values of Lz in this state.

    2) Find the expectation value of Lz in this state.

    It would be great if some one could guide with this question.

    Thanks
     
  2. jcsd
  3. Jun 6, 2008 #2

    malawi_glenn

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    we never give full solutions..

    however, I can give you a hint:

    expand |l=3, s=1/2, j=5/2,mj=3/2> in the basis of |l,m_l> and |s,m_s>

    using a clebsh gordan table

    if l = 3 and s = 1/2 and m_j = 3/2, then you can find out what m_l and m_s is contributing to this state since m_j = m_s + m_l (scalar addition)
     
  4. Jun 6, 2008 #3
    thanks lot for your help.....Actally I am having some trouble unerstanding this whole conceptI will tr it out.
     
    Last edited: Jun 6, 2008
  5. Jun 6, 2008 #4

    malawi_glenn

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  6. Jun 7, 2008 #5

    malawi_glenn

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    how's it going?
     
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