On Augmented Kohn-Sham Potential for Energy as a Simple Sum of Orbital   Energies
  It has recently been observed [Phys. Rev. Lett. 113, 113002 (2014)] that the ground-state energy may be obtained directly as a simple sum of augmented Kohn-Sham orbital energies, where it was ascertained that the corresponding one-body shifted Kohn-Sham effective potential has appealing features. With this in mind, eigenvalue and virial constraints are deduced for approximating this potential. 
Mel Levy (1,2,3) and Federico Zahariev (4) ((1) Department of   Chemistry, Duke University, (2) Department of Physics, North...
physics.chem-ph