Abstract
The ground-state density of a many-electron system obeys a Schrödinger-like differential equation for , which may be solved by standard Kohn-Sham programs. The exact local effective (nonexternal) potential, , is displayed explicitly in terms of wave-function expectation values, from which for all . A derivation for as implies that this new effective potential tends asymptotically to zero, as does the exact Kohn-Sham potential, with the highest occupied eigenvalue as the exact ionization energy. A new exact expression is also presented for the exchange-correlation hole density about an electron at , as .
- Received 11 August 1983
DOI:https://doi.org/10.1103/PhysRevA.30.2745
©1984 American Physical Society