Jacobs Ladder of Density Functional Approximations

All of these approximations are density functionals, because the Kohn-Sham orbitals are implicit functionals of the density. Finding the exchange-correlation potential for nmgs (3) (5) requires the construction of the optimized effective potential [119], which is now practical even for fully three-dimensional densities [120]. For many purposes a non-selfconsistent implementation of nmgs (3)-(5) using GGA orbitals will suffice. 

Work supported in part by the U.S. National Science Foundation under Grant No. DMR95-21353 and DMROl-35678. We thank Matthias Ernzerhof for help with the figures. 

Introduction to the Quantum Theory (McGraw-Hill, New York, 1974). 

Intermediate Quantum, Mechanics (Benjamin, New York, 1964). 

Dreizler and E. K. U. Gross, Density Functional Theory (Springer, Berlin, 1990). 

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