Total Angular Momentum J

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In an electron system (spin =1/2, l = 1) the total angular momentum will be J=S+L
 
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Start with j=3/2, m=3/2, that is |1,+1/2>. How do you obtain other states ?
 
Where did the j and m values you stated come from?
I have no idea
 
ah, that helps a lot thanks :)
 

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