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Arkundato, A
LPPM Universitas Terbuka
Agriculture, Biological Sciences & Forestry Mathematics Other

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METODE ELEMEN HINGGA UNTUK PENYELESAIAN PERSAMAAN SCHRÖDINGER ATOM HIDROGENIK Pandiangan, Paken; Supriyadi, Supriyadi; Arkundato, A
Jurnal Matematika Sains dan Teknologi Vol 7 No 1 (2006)
Publisher : LPPM Universitas Terbuka

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Abstract

The research computed the energy levels and radial wave functions of the  Hydrogen Atom. The method used for computation was FEM (finite element method). Using the variational method approach, FEM was applied to the action integral of  Schrödinger equation. This lead to the eigenvalue equation in the form of  global matrix equation. The results of computation were depended on boundary of the action integral of Schrödinger equation and number of elements. For boundary 0 - 100a0 and 100 elements,  they were the realistic and best choice of computation to the closed  analytic results. The computation of first five energy levels resulted E1 = -0.99917211 R∞, E2 = -0.24984445 R∞, E3 = -0.11105532 R∞,           E4 = -0.06247405 R∞ and  E5 = -0.03998598 R∞ where 1 R∞ = 13.6 eV. They had relative error under 0.1% to the analytic results.  
Co-Authors Paken Pandiangan Supriyadi Supriyadi