Abstract
After a short survey of currently available routes for constructing an idempotent firstorder density matrix as a function(al) of its diagonal element, the electron density p(r); recent progress will be surveyed with specific reference to the exchange potential in (a) the Be atom and (b) in the jellium and Bardeen models of a metal surface. In both examples the off-diagonal density matrix is expressed in terms of its diagonal density only. Finally, a brief discussion will be given of the way the exact exchange-correlation potential can be written in terms of higher-order density matrices, the idempotency condition on the first-order density matrix γ now being replaced by the inequality γ2 < γ. © 1995 John Wiley & Sons, Inc.
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