Journal of Theoretical and Computational Studies
STUDY OF L2 BASIS-METHOD APPLICATION IN MANY ELECTRON ATOM
T. Winata1, A.T. Stelbovics 2 and A.Kartono 3
1Laboratory for Physics of Electronic Material, Physics Department, Faculty of Matematical and Natural Sciences, Institut Teknologi Bandung, Jl. Ganesa 10, Bandung 40132
2 Center for Atomic, Molecular and Surface Physics, Murdoch University, Perth 6150, Western Australia
3Physics Department, Faculty of Matematical and Natural Sciences, Institut Pertanian Bogor, Jl. Raya Pajajaran, Bogor 16143
The L2 basis method constructed from Laguerre polynomial has been applied to helium atom, as a simple example of many electron atoms. The non-relativistic Schroedinger equation of helium atom with l = 0 will be considered. By separating the variables related to the electrons position, the helium states can then be written as a coupling between two single electron states where these states can be expressed as L2 basis expansion. The eigen energies and states can finally be solved by diagonalization of the Hamiltonian.