The general conditions under which real, restricted Hartree-Fock wavefunctions become unstable with respect to variation of the orbitals are derived. It is shown that complex solutions to the Hartree-Fock equations are associated with a singlet instability in the usual real, restricted solution. A comment is made concerning the complex wavefunctions found by Harris and Pohl for hydrogen halides at short internuclear distances.
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Neil S. Ostlund (1972) studied this question.
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