Title 



Exchange energy for two closed shells generated by a bare Coulomb potential energy in the limit of large Z, in two dimensions
 
Author 



 
Abstract 



Twodimensional (2D) inhomogeneous electron assemblies are becoming increasingly important in Condensed Matter and associated technologies. Here, therefore, we contribute to the Density Functional Theory of such 2D electronic systems by calculating, analytically, (i) the idempotent Dirac density matrix gamma (r, r') generated by two closed shells for the bare Coulomb potential  Ze(2)/r and (ii) the exchange energy density epsilon(X) (r). Some progress is also possible concerning the exchange potential V(X) (r), one nonlocal approximation being the Slater potential 2(epsilon X) (r)/n(r), with n(r) the ground state electron density. However, to complete the theory of V(X) (r), the functional derivative of the singleparticle kinetic energy per unit area delta t (s)/delta n(r) is still required.   
Language 



English
 
Source (journal) 



Journal of mathematical chemistry.  Basel  
Publication 



Basel : 2010
 
ISSN 



02599791
 
Volume/pages 



47:4(2010), p. 13131322
 
ISI 



000276760300010
 
Full text (Publisher's DOI) 


  
