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Why don't electrons in the same orbital repel

 
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Aug21-10, 10:04 AM   #18
 
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Why don't electrons in the same orbital repel


Quote by cgk View Post
I'm sorry for reviving this thread at this point in time, but I wanted to point out that this statement is not actually true. There is a Coulomb hole, but the probability of finding two opposite-spin electrons at the same point in space is not zero in general.
Yeah, I got it wrong. It's true that it's not zero at high density/momentum. You do always have a cusp in the density/wave function though.

Well, the hole would not be in the orbitals (orbitals are one-particle functions!), but in the pair distribution function of the electrons.
Orbitals can still be somewhat correlated (e.g. HF orbitals are correlated w.r.t. spin), my point was just that orbitals do take into account most of the interelectronic interaction.

Quote by nomadreid View Post
You mean Perdew and Wang (it is Y. Wang, from whence probably the confusion).
Actually I suspect he confused Y. Wang with another important DFT theorist, W. Yang. Confusing eh? :) There's Parr & Yang and Perdew & Wang.
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