Introduction to Density Functional Theory and Exchange-Correlation Energy Functionals
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Exchange-Correlation Energy Density from Virial Theorem
The virial of the exchange potential in density functional theory yields the exchange energy, but the virial of the correlation potential does not yield the correlation energy. Via the adiabatic connection formula, we define a hypercorrelated potential whose virial is exactly the correlation energy. This exchange-correlation energy density is uniquely determined by the exchange-correlation ener...
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