Title 



Complete functional theory for the fermion density of independent particles subject to harmonic confinement in d dimensions for an arbitrary number of closed shells
 
Author 



 
Abstract 



In earlier work, expressions have been constructed for the singleparticle kineticenergy functional Ts[rho] for independent fermions subject to harmonic confinement in low dimensions, with rho the particle density. Here, the differential equation for rho is first obtained in d dimensions for an arbitrary number of closed shells. Then, by using the known EulerLagrange equation, the functional derivative deltaT(s)/deltarho(r) is constructed. Ts[rho] itself is proved to take the form of a linear combination of three pieces: (i) a von Weizsacker inhomogeneity kinetic energy, but with the original coefficient reduced by a dimensionality factor 1/d, (ii) a ThomasFermi kinetic energy, and (iii) a truly nonlocal contribution that, however, is shown to involve only the density rho itself and its first derivative. Thus, for this model, which is currently highly relevant to the interpretation of experiments on the evaporative cooling of dilute, and hence almost noninteracting, fermions, a complete densityfunctional theory now exists.   
Language 



English
 
Source (journal) 



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



Lancaster, Pa : 2002
 
ISSN 



10941622 [online]
10502947 [print]
 
Volume/pages 



66:5(2002), p. 054501,1054501,4
 
Article Reference 



054501
 
ISI 



000179631900143
 
Medium 



Eonly publicatie
 
Full text (Publishers DOI) 


  
Full text (open access) 


  
