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Spin product of graphs

  1. Aug 7, 2012 #1
    Last edited: Aug 7, 2012
  2. jcsd
  3. Aug 8, 2012 #2
    No. You have sum.
    So
    Spins may take values +1 or -1. Because of that
    result of
    [tex]S_iS_jS_jS_k[/tex]
    is either +1 or -1.
    For example
    [tex]\sum_{S_1=-1,1}\sum_{S_2=-1,1}S_iS_{i+1}=-1 \cdot (-1)+(-1)\cdot 1+1\cdot(-1)+1-1 \cdot (-1)+(-1)\cdot 1+1\cdot(-1)=0[/tex]
    I don't know what that means in the graph case. If someone knows it would me nice to write down.
     
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