Title 



Relation between singleparticle kinetic energy and exchange energy in DFT for the inhomogeneous electron liquid in the Be atom
 
Author 



 
Abstract 



n a recent study, the authors have used the semi empirical finetuned HartreeFock groundstate electron density n(r) of Cordero et al. [Phys. Rev. A 75, 052502 (2007)] for the Be atom to calculate the phase θ(r) from a nonlinear pendulumlike equation. Since the density amplitude n(r)1/2 plus θ(r) determine, in turn, the idempotent Dirac density matrix γ(r, r'), we use n(r) and θ(r) first of all to calculate the exchange energy density eX(r) of the density functional theory (DFT). This enables us to obtain the Slater (Sl) approximation GPCH_A_429748_O_XML_IMAGES\GPCH_A_429748_O_ILM0001.gif to the exchangeonly potential. A comparison can then be made, by integrating the earlier predicted exchangecorrelation force ∂VXC (r)/∂r, of VXC (r) with GPCH_A_429748_O_XML_IMAGES\GPCH_A_429748_O_ILM0002.gif. Relationship to the Becke semiempirical density gradient approximation for exchange is also established. Some brief discussion of the PerdewBurkeErnzerhof density functional is added.   
Language 



English
 
Source (journal) 



Physics and chemistry of liquids.  London  
Publication 



London : 2010
 
ISSN 



00319104
 
Volume/pages 



48:2(2010), p. 272278
 
ISI 



000277647300009
 
Full text (Publishers DOI) 


  
