Title




Momentum density and its Fourier transform : relation to the firstorder density matrix and some scaling properties
 
Author




 
Abstract




Densityfunctional theory requires knowledge of the kineticenergy density t(r) in terms of the groundstate density rho (r). Of course, the direct route to total kinetic energy is from the momentum density n(p), which in turn is directly related by Fourier transform to the firstorder density matrix gamma (r,r'). Here, an alternative route to calculate the total kinetic energy is explored, via the Fourier transform (n) over tilde (r) of the momentum density n (p). It is shown that (n) over tilde (r) is related to the density matrix gamma through its contracted form integral gamma (r'r,r')dr'=(n) over tilde (r). As examples, bare Coulomb field and harmonic confinement for arbitrary numbers of closed shells are treated. Finally, a localized potential V(r) embedded in an initially uniform electron gas is considered, but now to low order in a perturbation series in V(r). 
 
Language




English
 
Source (journal)




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




Lancaster, Pa
:
2001
 
ISSN




10941622
[online]
10502947
[print]
 
DOI




10.1103/PHYSREVA.64.042509
 
Volume/pages




64
:4
(2001)
, p. 16
 
Article Reference




042509
 
ISI




000171609900049
 
Medium




Eonly publicatie
 
Full text (Publisher's DOI)




 
Full text (open access)




 
