Title




Densitymatrix theory for the ground state of spincompensated harmonically confined twoelectron model atoms with general interparticle repulsion


Author






Abstract




For model twoelectron atoms with harmonic confinement, the correlated firstorder density matrix can be expressed in terms of the relative motion wave function R(r). Here we demonstrate that the probability density P(r) associated with this wave function is directly related to the xray scattering factor f(G). This latter quantity, in turn, is determined by the groundstate electron density n(r). The EulerLagrange equation of the resulting densitymatrix theory is thereby shown to take the form of a thirdorder integrodifferential equation for n(r) in which the probability density P(r)=(r) also appears. For two specific choices of the interaction between the two fermions under consideration, the above integrodifferential equation derived here is shown to lead back to known linear homogeneous differential equations for the electron density. Finally, it is emphasized that specific equations summarized here will apply directly to theoretical study of the nonrelativistic groundstate electron density n(r,Z) in the Helike ions with atomic number Z. 


Language




English


Source (journal)




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


Publication




Lancaster, Pa
:
2009


ISSN




10941622
[online]
10502947
[print]


DOI




10.1103/PHYSREVA.80.032509


Volume/pages




80
:3
(2009)
, p. 032509,1032509,9


ISI




000270383900081


Full text (Publisher's DOI)






Full text (open access)





