Study of Non-Orthogonal Laguerre-L2 Method for Helium Atom
Study of non-orthogonal Laguerre-L2 method for helium atom
T. Winata1 and A. Kartono2
1. Laboratory for Physics of Electronic Material, Physics Department, Faculty of Mathematical
and Natural Sciences, Institut Teknologi Bandung, Jalan Ganesa 10, 40132 Bandung, Indonesia;
2. Physics Department, Faculty of Mathematical and Natural Sciences, Institut Pertanian Bogor,
Jalan Raya Pajajaran, 16143 Bogor, Indonesia
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 L 2 basis size increases
and the completeness of the L2 wave functions is also shown for different basis size.
Received: 20 August 2003, Published online: 6 January 2004.
Url: http://www.springerlink.com/content/e0m4wjr37q18f1b6/
T. Winata1 and A. Kartono2
1. Laboratory for Physics of Electronic Material, Physics Department, Faculty of Mathematical
and Natural Sciences, Institut Teknologi Bandung, Jalan Ganesa 10, 40132 Bandung, Indonesia;
2. Physics Department, Faculty of Mathematical and Natural Sciences, Institut Pertanian Bogor,
Jalan Raya Pajajaran, 16143 Bogor, Indonesia
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 L 2 basis size increases
and the completeness of the L2 wave functions is also shown for different basis size.
Received: 20 August 2003, Published online: 6 January 2004.
Url: http://www.springerlink.com/content/e0m4wjr37q18f1b6/