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http://repository.ipb.ac.id/handle/123456789/28050
Title: | Calculation of The Direct Potential in Electron-Helium Scattering Using Non-Orthogonal Laguerre L2 Basis |
Authors: | Winata, Toto Kartono, Agus |
Issue Date: | 2010 |
Publisher: | IPB (Bogor Agricultural University) |
Abstract: | In this paper first we consider a helium atom in LS coupling configuration. We use a product of a radial function, a spherical harmonic and a spin function as a single-electron orbital function, which are used to build the two-electron basis. The radial function of the single-particle functions are of the non-orthogonal Laguerre basis [1] ()()()(rLrrrlmlmλλλφ1212/exp++−= ) ) , (1) where the are the associated Laguerre polynomials, and m ranges from 1 to the basis size N. The two-electron functions is then written in terms of the product of these orbitals for coordinates r(rLlmλ12+(12nC1 and r2. Here the configuration interaction coefficients ) satisfy the symmetry property ()()()2112211nslllnCC−−+−=, (2) to ensure antisymmetry of the two-electron system states. |
URI: | http://repository.ipb.ac.id/handle/123456789/28050 |
Appears in Collections: | Faculty of Mathematics and Natural Sciences |
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