  Electron-electron correlation forms the basis of difficulties encountered in
multi-electron systems. Accurate treatment of the correlation problem is likely
to unravel some nice physical properties of matter embedded in this
correlation. In an effort to tackle this multi-electron problem, two
complementary parameter-free pseudopotentials for $n$-electron atoms are
suggested in this study. Using one of the pseudopotentials, near-exact values
of the groundstate ionization potentials of helium, lithium, and berrylium
atoms have been calculated. The other pseudopotential also proves to be capable
of yielding reasonable and reliable ionization potentials within the
non-relativistic quantum mechanics framework.
