Eur. Phys. J. D 28, 307-315 (2004)
https://doi.org/10.1140/epjd/e2003-00321-4

Study of non-orthogonal Laguerre-L² method for helium atom

¹ Laboratory for Physics of Electronic Material, Physics Department, Faculty of Mathematical and Natural Sciences, Institut Teknologi Bandung, Jalan Ganesa 10, Bandung 40132, Indonesia
² Physics Department, Faculty of Mathematical and Natural Sciences, Institut Pertanian Bogor, Jalan Raya Pajajaran, Bogor 16143, Indonesia

Corresponding author: ^a agukar@dosen.fisika.net

Received: 12 May 2003
Revised: 20 August 2003
Published online: 6 January 2004

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.