Energy Levels of Multielectron Atoms using the Sea-boson Method

In this article, we study an antithesis of the homogeneous Fermi system (jellium model) namely a single multielectron atom using the sea-boson approach. This system in addition to having a small number of electrons(finite system) is also extremely inhomogeneous. This means that the plane-wave basis is ill-suited to study this system, instead we use a basis consisting of the eigenfunctions of an electron interacting with the nucleus situated at the origin (ideal atom). We compute the energy levels of this system and polarizabilities and compare with the results of other approaches such as Hartree-Fock and pseudopotentials for the former and aysmptotic wavefunctions for the latter and with experiments.