Title 



Nonrelativistic exchangeenergy density and exchange potential in the lowest order of the 1/Z expansion for tenelectron atomic ions
 
Author 



 
Abstract 



The Dirac exchange energy Ex has a density epsilon (x)(r) in a spherically symmetric tenelectron atomic ion that is determined by the idempotent firstorder density matrix (1 DM). In turn, this 1 DM has as its leading term in the 1/Z expansion, with Z the atomic number, the bare Coulomb result. This latter quantity is known analytically from the study of March and Santamaria [Phys. Rev. A 38, 5002 (1988)]. Here epsilon (x)(r) is calculated analytically, and presented graphically for Z=92 in this largeZ limit. The Slater approximation to the exchange potential Vx(r), namely, VSla(r)=2 epsilon (x)(r)/rho (r) with rho (r) the groundstate electron density, is also plotted for Z=92. In the largeZ limit, Vx(r) can be obtained by functional differentiation of the resultant exchange energy, and is expressed in terms of electron and kineticenergy densities. Numerical calculations, based on VSla(r) plus approximate corrections, are also presented.   
Language 



English
 
Source (journal) 



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



Lancaster, Pa : 2000
 
ISSN 



10941622 [online]
10502947 [print]
 
Volume/pages 



62:6(2000), p. 18
 
Article Reference 



062512
 
ISI 



000165697200043
 
Medium 



Eonly publicatie
 
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