# Homework Help: Help with a quantum chemistry problem

1. Apr 9, 2009

### chemstudent09

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
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