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Communication: Explicit construction of functional derivatives in potential-driven density-functional theory
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We propose a method for imposing an important exact constraint on model Kohn–Sham potentials, namely, the requirement that they be functional derivatives of functionals of the electron density . In particular, we show that if a model potential involves no ingredients other than , , and , then the necessary and sufficient condition for to be a functional derivative is . Integrability conditions of this type can be used to construct functional derivatives without knowing their parent functionals. This opens up possibilities for developing model exchange-correlation potentials that do not lead to unphysical effects common to existing approximations. Application of the technique is illustrated with examples.
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