Nanik Andelita
Program Studi Fisika, Universitas Mataram

Published : 1 Documents Claim Missing Document
Claim Missing Document
Check
Articles

Found 1 Documents
Search

Penerapan metode relaksasi Gauss-Seidel untuk menyelesaikan persamaan Schrödinger Nanik Andelita; I Wayan Sudiarta
Jurnal Riset dan Kajian Pendidikan Fisika Vol 6, No 2 (2019): Oktober 2019
Publisher : Universitas Ahmad Dahlan

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (464.523 KB) | DOI: 10.12928/jrkpf.v6i2.14613

Abstract

Abstrak. Metode numerik, seperti metode finite difference, finite element dan Fourier, untuk menyelesaikan persamaan Schrodinger telah banyak digunakan sebelumnya. Metode finite difference time domain (FDTD) telah dikembangkan oleh Sudiarta dan Geldart (2007). Metode FDTD telah berhasil diaplikasikan untuk berbagai sistem kuantum, satu partikel ataupun lebih. Salah satu kelemahan metode FDTD adalah pada kasus tertentu seperti potensial kotak dan potensial osilator harmonik ditemukan iterasi FDTD lebih lambat menuju konvergen sehingga memerlukan waktu komputasi yang lebih lama. Untuk mengatasi hal tersebut, metode relaksasi Gauss-Seidel digunakan. Pada paper ini, metode relaksasi diaplikasikan untuk menyelesaikan persamaan Schrodinger satu partikel pada berbagai potensial.Kata kunci: persamaan Schrodinger, metode relaksasi Gauss-Seidel, metode FDTD Abstract. Numerical methods, such as finite difference, finite element and Fourier methods to solve the Schrodinger equation have been used previously. The finite difference time domain (FDTD) method has been developed by Sudiarta and Geldart (2007). The FDTD method has been successfully applied to various quantum systems, for one particle or more. One of the weaknesses of the FDTD method is that in certain cases such as the box potential and harmonic oscillator it has been found that FDTD iterations are slower to converge and thus require longer computation time. To overcome this, the relaxation Gauss-Seidel method can be used. In this paper, the relaxation method was applied to solve the Schrodinger equation for one particle in various potential wells.Keywords: Schrodinger equation, relaxation Gauss-Seidel method, FDTD method