Title 



Inhomogeneous electron liquids generated by Coulomb confinement of electrons with and without interparticle repulsions
 
Author 


  
Abstract 



The inhomogeneous electron liquid created through Coulomb confinement by a singlecentre potential energy Ze2/r remains central to the fundamental 1/Z expansion: a pillar of analytic atomic theory. Therefore, some recent progress in this area of nonrelativistic quantum mechanics is first discussed, the main focus being the Feynman propagator. The closely related Slater sum is also treated, differential equations being cited in both three and two dimensions. The effect of interparticle interactions on the density of the electron liquids will next be considered in two areas: (i) for models of Helike atomic ions with nuclear charge Ze where analytic ground state electron densities can be obtained, as well as the exact differential equations they satisfy, and (ii) finetuning of HartreeFock densities for four spherical atoms, Be, Ne, Mg and Ar. In (ii), a semiempirical framework is now available in which the experimental ionisation potential replaces that of Koopmans. Densities having almost QMC quality are thereby available. Finally, the inhomogeneous electron liquids in short linear chains of H nuclei stabilised by one electron plus an intense magnetic field along the chain axis will be treated, fields considered being as found at the surfaces of some neutron stars.   
Language 



English
 
Source (journal) 



Physics and chemistry of liquids.  London  
Publication 



London : 2009
 
ISSN 



00319104
 
Volume/pages 



47:1(2009), p. 4560
 
ISI 



000263093300005
 
Full text (Publisher's DOI) 


  
