By Saul T. Epstein
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Extra resources for The Variation Method in Quantum Chemistry
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Such further approximations can be made, and regularly are made, in all types of Hartree-Fock approximations, and usually go under the name of self-consistent field (SCF) approximations. As we have introduced them, SCF approximations appear as approximations to HF approximations. However, one can, of course, regard them as approximations in their own right. In this section we will present some details of what we will call the unrestricted SCF approximation (USCF) in which, as in UHF, we look for optimal single Slater determinants but now with the further restriction that the cpi will be expanded in the same finite set of basis spin orbitals ua; thus 16 For detailed equations, see Simonetti and Gianinetti , also Dehn  and Olive .
The Variation Method in Quantum Chemistry by Saul T. Epstein