Pandiangan, Paken
LPPM Universitas Terbuka

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Journal : Jurnal Matematika Sains dan Teknologi

Solusi Persamaan Schrödinger Osilator Harmonik dalam Ruang Momentum Pandiangan, Paken
Jurnal Matematika Sains dan Teknologi Vol 6 No 1 (2005)
Publisher : LPPM Universitas Terbuka

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Abstract

The solution of Schrödinger equation for the simple harmonic oscillator has been investigated and explored. The solutions are coordinate representation or momentum representation. The eigen energy is .  The expectation value is  respectively. Both Method will produce similar result.
PERHITUNGAN TAMPANG LINTANG DIFERENSIAL HAMBURAN ELASTIK ELEKTRON-ARGON PADA 10,4 EV DENGAN ANALISIS GELOMBANG PARSIAL Pandiangan, Paken; Suhartono, Suhartono
Jurnal Matematika Sains dan Teknologi Vol 5 No 2 (2004)
Publisher : LPPM Universitas Terbuka

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Abstract

It has been calculated theoretically using the partial wave methods for the elastic scattering differential cross-section of electron-argon at 10.4 eV.  The wave function from Schrodinger equation  was computed by the Numerov integration methods.  For simplicity of scattering system , the Gaussian potential form has been employed.  For comparison between theoretical and experimental approach then we used the test. The  for this research is 2.386 that shows this calculation is good. 
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.