Study of Non-Orthogonal Laguerre-L2 Method for Helium Atom

Abstract

We present a technique for describing solutions of the helium atom by using the non-orthogonal Laguerre-L2 basis functions. The frozen-core approximation is used to calculate the helium energies. The completeness of helium wavefunctions obtained is studied in terms of weights of the Gaussian quadrature. The convergence of the energies is shown as the L2 basis size increases and the completeness of the L2 wave functions is also shown for different basis size.