Title 



Pauli potential from HeilmannLieb electron density obtained by summing hydrogenic closedshell densities over the entire boundstate spectrum
 
Author 



 
Abstract 



Independently, in the mid1980s, several groups proposed to bosonize the densityfunctional theory (DFT) for fermions by writing a Schrödinger equation for the density amplitude ρ(r)1/2, with ρ(r) as the groundstate electron density, the central tool of DFT. The resulting differential equation has the DFT onebody potential V(r) modified by an additive term VP(r) where P denotes Pauli. To gain insight into the form of the Pauli potential VP(r), here, we invoke the known Coulombic density, ρ∞(r) say, calculated analytically by Heilmann and Lieb (HL), by summation over the entire hydrogenic boundstate spectrum. We show that VP∞(r) has simple limits for both r tends to infinity and r approaching zero. In particular, at large r, VP∞(r) precisely cancels the attractive Coulomb potential Ze2/r, leaving V(r)+VP∞(r) of O(r2) as r tends to infinity. The HL density ρ∞(r) is finally used numerically to display VP∞(r) for all r values.   
Language 



English
 
Source (journal) 



Physical review : A : atomic, molecular and optical physics.  Lancaster, Pa, 1990  2015  
Publication 



Lancaster, Pa : 2011
 
ISSN 



10941622 [online]
10502947 [print]
 
Volume/pages 



83:1(2011), p. 014502,1014502,3
 
Article Reference 



014502
 
ISI 



000286743700004
 
Medium 



Eonly publicatie
 
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