We study the standard and extended Kohn-Sham models for quasirelativistic N-electron Coulomb systems; that is, systems where the kinetic energy of the electrons is given by the quasi-relativistic operator For spin-unpolarized systems in the local density approximation, we prove existence of a ground state (or minimizer) provided that the total charge Z tot of K nuclei is greater than N -1 and that Z tot is smaller than a critical charge Z c = 2α -1π -1.
|Number of pages||20|
|Journal||Electronic Journal of Differential Equations|
|Publication status||Published - 30 Jan 2012|
- Density operators
- Ground state
- Kohn-Sham equations
- Variational methods