The standard atomic-orbital Hartree-Fock stationarity condition follows directly from the exponential parametrization of the density matrix in the second-quantized AO formalism.
The molecular orbital theory of chemical valency. VIII. A method of calculating ionization potentials
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A density-matrix derivation of the Hartree--Fock equations in a nonorthogonal atomic-orbital basis
The standard atomic-orbital Hartree-Fock stationarity condition follows directly from the exponential parametrization of the density matrix in the second-quantized AO formalism.