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Coulomb hole (Read 5155 times)
Gerrit-Jan Linker
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Coulomb hole
04.06.08 at 17:06:39
 
Coulomb hole
 
The probability of finding two electrons at the same point in space is 0 as the repulsion becomes infinite. For a wavefunction built up as a Hartree product this requirement is not fulfilled and the probability of finding the two electrons at the same point in space is unequal to 0. This is called the Coulomb hole.
The generic role of electron correplation in the exact wave function is to restore the Coulomb hole: to prevent that electrons to coincide.  
 
That electrons of different spins cannot overlap is called the Fermi correlation and leads to the Fermi hole.
 
See also:
Fermi hole, Fermi correlation
http://www.oraxcel.com/cgi-bin/yabb2/YaBB.pl?num=1212592128/0#0
Hartree product
http://www.oraxcel.com/cgi-bin/yabb2/YaBB.pl?num=1211044354
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« Last Edit: 22.07.11 at 20:40:45 by Gerrit-Jan Linker »  

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