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Levy-Perdew-Sahni (LPS) provided a proof of the connection between thedensity and ionization potential of a many-electron system using the equationfor the density directly. This equation employs an effective potential which isderived by LPS from the many-electron wavefunction of the system. In thispaper, we calculate this potential explicitly by employing an accuratewavefunction for two-electron systems. With this wavefunction connection theLPS equation is then solved self- consistently employing this potential andshown to lead to accurate densities and chemical potentials for these systems.

The Levy-Perdew-Sahni equation for the density: accurate effective potential and self-consistent solution for two-electron atomic systems