Need help with a quantum chemistry problem

[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.

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

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

|K> = |X_m(X1)X_n(X2)...>

and

|K^HP> = X_m(X1)X_n(X₂)...

Prove this theorem
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This problem is from "Modern Quantum Chemistry" by Szabo & Ostlund for anyone who is wondering.

 

[chemstudent09]

I think I posted this question in the wrong part of these forums. I'm sorry about this.

 

[alxm]

Well, start by writing both sides out as integrals, which can be separated into sums of single-particle wave function-integrals, and see what cancels out.