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Energy expansion Kohn Sham

  1. Oct 12, 2015 #1
    Can anyone help me understand how to arrive at the expression (16) in the following link?


    I don't see how it follows from insertion into (14), but I have seen exactly this transition happen several places in litterature. There is only a linear term in the electron density, since the Kohn Sham equations has been used to put all the nasty stuff into the exchange-correlation function (as far as I understand).
  2. jcsd
  3. Oct 13, 2015 #2


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    Science Advisor

    Could you be more concrete about which term you don't understand?
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