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Questions about mathematical derivations.

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Orbital magnetization in periodic solids

The orbital magnetization in periodic solids has been nicely described by the so-called modern theory of magnetization [1,2,3,4]. $$\tag{1} \mathcal{M}_{orb} = -\frac{1}{2} \Im \sum_{n,\mathbf{k}} f_{...
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Derivation of the Dirac exchange-energy formula

So I have been reading the textbook "Density Functional Theory of Atoms and Molecules" by Parr and Yang, and in chapter 6, their derivation of the Dirac exchange-energy functional $K_D[\rho]$...
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