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Normal coordinate substitutions with periodic boundary conditions

  1. Jul 9, 2009 #1
    Could someone plase hep me with normal coordinate substitutions with periodic boundary conditions, I can't see where the 1/N cancels in the attached file

    Thanks

    Doug
     

    Attached Files:

  2. jcsd
  3. Jul 9, 2009 #2

    CompuChip

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    Probably:
    [tex]\sum_{k} e^{i (k - k') a} = N \delta_{k,k'}[/tex]

    (If k = k' then you have the sum over 1, so you get the number of terms N).
     
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