Title Exchange energy for two closed shells generated by a bare Coulomb potential energy $-Ze^{2}/r$ in the limit of large Z, in two dimensionsExchange energy for two closed shells generated by a bare Coulomb potential energy $-Ze^{2}/r$ in the limit of large Z, in two dimensions Author Glasser, M. L. March, N.H. Nieto, L. M. Faculty/Department Faculty of Sciences. Physics Research group Department of Physics Publication type article Publication 2010Basel, 2010 Subject Mathematics Chemistry Source (journal) Journal of mathematical chemistry. - Basel Volume/pages 47(2010):4, p. 1313-1322 ISSN 0259-9791 ISI 000276760300010 Carrier E Target language English (eng) Full text (Publishers DOI) Affiliation University of Antwerp Abstract Two-dimensional (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 non-local 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 single-particle kinetic energy per unit area delta t (s)/delta n(r) is still required. E-info http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000276760300010&DestLinkType=RelatedRecords&DestApp=ALL_WOS&UsrCustomerID=ef845e08c439e550330acc77c7d2d848 http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000276760300010&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=ef845e08c439e550330acc77c7d2d848 Handle