[Yannick]

I am missing something in my understanding. I don’t quite see how the second image where you have an E_tot[n] that tells you there are electron densities n(r) that have lower energy then the ground state can be said to be a good functional. It predicts the wrong energy spectrum ? Someone could say its simply a wrong functional. It tells you for the supposed right n(r) that you derived from V_ext, the wrong total energy.

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