Metode Elemen Hingga Untuk Penyelesaian Persamaan Schrödinger Atom Hidrogenik  

Oleh:

Pandiangan, Paken ; Arkundato, A. ; Supriyadi

Jenis: Article from Journal - ilmiah nasional
Dalam koleksi: Jurnal Matematika, Sains, dan Teknologi vol. 7 no. 1 (Mar. 2006), page 11-23.
Topik: FEM; Hydrogen atom; Schrödinger equation
Fulltext: 02-paken.pdf (416.92KB)

Isi artikel

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 R8, E2 = -0.24984445 R8, E3 = -0.11105532 R8, E4 = -0.06247405 R8 and E5 = -0.03998598 R8 where 1 R8 = 13.6 eV. They had relative error under 0.1% to the analytic results.

Opini Anda

Klik untuk menuliskan opini Anda tentang koleksi ini!

Kembali