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Kohn-Sham equations

Practical DFT is nearly always done within the framework established by Kohn and Sham in 1965. We’ll have a look at their method:

DFT is a method to describe a many-body system: a system of more than two mutually interacting particles. Atoms, molecules and solids are many body systems based on the electromagnetic interaction. The solar system is a many body system based on gravitational interaction. Describe in words how you would use DFT and the Kohn-Sham method to study the many body system of gravitationally interacting planets and the Sun.

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Optional: If you want to dig deeper (now or later), you may study this pedagogical lecture by Kieron Burke on the Kohn-Sham equations (part of the CECAM school on Teaching the Theory in DFT):
 

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