1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

A eigenstate of addition of angular momenta

  1. Nov 2, 2011 #1
    1. The problem statement, all variables and given/known data
    [tex]l~m\rangle[/tex]
    [tex]l=l_1+l_2[/tex]
    [tex]l_1=2,l_2=1[/tex]
    Find eigenstates(of[tex]L_z[/tex]) [tex]|2~0\rangle[/tex]


    2. Relevant equations



    3. The attempt at a solution
    [tex]|l=3~m=3\rangle=|l_1=2~m_1=2\rangle|l_2=1~m_2=1 \rangle[/tex]. I do [tex]L_-=L_{1-}+L_{2-}[/tex] 3times.
    So I get [tex]|3~0\rangle[/tex]= (omit)
    Then How can I find [tex]2~0\rangle[/tex]?
    I know that [tex]2~0\rangle[/tex] is orthogonal to [tex]|3~0\rangle[/tex]. But I don't know how to use that property to derive a result.
    Please give me an answer.
     
  2. jcsd
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Can you offer guidance or do you also need help?



Similar Discussions: A eigenstate of addition of angular momenta
Loading...