Existence of a minimizer for the quasi-relativistic Kohn-Sham model

Carlos Argaez, Michael Melgaard*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)


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.

Original languageEnglish
Pages (from-to)1-20
Number of pages20
JournalElectronic Journal of Differential Equations
Publication statusPublished - 30 Jan 2012

Other keywords

  • Concentration-compactness
  • Density operators
  • Ground state
  • Kohn-Sham equations
  • Variational methods


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