Title 



Functional differentiation, line integration, and departures from homogeneity of the singleparticle kinetic energy functional for onedimensional systems of N fermions
 
Author 



 
Abstract 



The differential virial theorem of March and Young for N fermions moving in a common onedimensional potential energy V(x) is here combined with the Euler equation of density functional theory expressing the constancy of the chemical potential throughout the entire inhomogeneous particle density. The functional derivative of the singleparticle kinetic energy is thereby expressed directly in terms of the kinetic energy density; a line integral being involved in establishing the connection. This result is then used to establish a formula measuring departures from simple homogeneity of the kinetic energy functional: a matter of current interest in density functional theory. Finally, the general theory of the functional derivative of the singleparticle kinetic energy with respect to the particle density is exemplified for the case of harmonic confinement of fermions in one dimension. (C) 2001 American Institute of Physics.   
Language 



English
 
Source (journal) 



Journal of mathematical physics.  New York, N.Y.  
Publication 



New York, N.Y. : 2001
 
ISSN 



00222488
 
Volume/pages 



42:8(2001), p. 33613371
 
ISI 



000169929700010
 
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