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Help with a quantum chemistry problem

  1. Apr 9, 2009 #1
    I'm really struggling on even getting started on this problem. I have read the chapter several times now and I have tried to understand the explanations in the chapter. But I can't even get this problem started. All I ask is if anyone knows how to do this, can you just get me started or point me in the right direction so I can then take it from there?

    Thanks for any help.

    ___________
    Prove the theorem <K|H|L> = (N!)1/2 <KHP|H|L>

    where |KHP> is the Hartree product corresponding to the determinant |K>, i.e.

    |K> = |Xm(X1)Xn(X2)...>

    and

    |KHP> = Xm(X1)Xn(X2)...

    Prove this theorem
    _______________

    H = O1 + O2

    O1 = h(1) + h(2) + ... + h(N)

    O2 = r12-1 + r13-1 + r14-1 + ... + r23-1 + r24-1 + ... + rN-1-1, N

    This problem is from "Modern Quantum Chemistry" by Szabo & Ostlund for anyone who is wondering.
     
    Last edited: Apr 9, 2009
  2. jcsd
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