Document Type
Article
Rights
This item is available under a Creative Commons License for non-commercial use only
Disciplines
1.1 MATHEMATICS, 1.3 PHYSICAL SCIENCES
Abstract
We study the standard and extended Kohn-Sham models for quasi-relativistic N-electron Coulomb systems; that is, systems where the kinetic energy of the electrons is given by the quasi-relativistic operator (see article) . For spin-unpolarized systems in the local density approximation, we prove existence of a ground state (or minimizer) provided that the total charge Z of K nuclei is greater than N-1 and that Z is smaller than a critical charge (see article).
DOI
http://doi.org10.21427/jpm9-sw52
Recommended Citation
Argáez García, C., Melgaard, M.: Existence of a Minimizer for the Quasi-Relativistic Kohn-Sham Model. Electronic Journal of Differential Equations, Vol 2012 (2012), no. 18, pp 1-20.
Funder
Science Foundation Ireland
Publication Details
Electronic Journal of Differential Equations, Vol 2012 (2012), no. 18, pp 1-20.