Title 



Nonlocal kinetic energy functional for an arbitrary number of Fermions moving independently in onedimensional harmonic oscillator potential
 
Author 



 
Abstract 



For onedimensional Fermions bound by a general onebody potential V(x), the Pauli potential is first related to the kinetic energy and the particle density rho(x). For the model of the harmonic oscillator, V(x) = 1/2x(2), this equation leads to a nonlocal kinetic energy functional in which only firstorder derivatives of rho(x) enter. This example shows the usefulness of a new concept, the Pauli function, which encompasses the Pauli principle in terms of the electronic density. For the harmonic oscillator model, the kinetic energy can then be expressed exactly in terms of the ThomasFermi kinetic energy functional, together with the von Weizsacker inhomogeneity term, but now in a fully nonlocal way. (C) 2000 Published by Elsevier Science B.V. All rights reserved.   
Language 



English
 
Source (journal) 



Physics letters: A.  Amsterdam, 1967, currens  
Publication 



Amsterdam : 2000
 
ISSN 



03759601
 
Volume/pages 



270:12(2000), p. 8892
 
ISI 



000087265200011
 
Full text (Publisher's DOI) 


  
Full text (open access) 


  
