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Hohenberg-Kohn Theorems (Read 1634 times)
Gerrit-Jan Linker
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Hohenberg-Kohn Theorems
11.09.09 at 22:30:20
 
Hohenberg-Kohn Theorems
 
Theorem 1:  
The ground-state energy of a system of N electrons in an external potential Vext is a unique functional of the (ground-state) electron density: E=E[ρ(r)]
 
Theorem 2:  
Variational principle for the energy: The total ground-state energy of a system of N electrons is minimal for the true (exact) ground-state density.
 
 
Energy is completely determined by electron density.
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« Last Edit: 25.02.11 at 19:51:23 by Gerrit-Jan Linker »  

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