Abstract
After a discussion of the form of low-order density matrices built from strongly orthogonal geminals, density functional theory is utilized to deal with the phenomenon of Wigner electron crystallization. This is followed by a brief treatment of localized versus molecular orbital theories of electrons, illustrated by the stretched H2 molecule. Then a synthesis of density functional and density matrix theory is effected by deriving, following Holas and March, the exchange-correlation potential in terms of first- and second-order density matrices. Localization of correlated electrons by applied magnetic fields is finally discussed, with the example of magnetically induced Wigner solidification as a focal point.
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