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ANALISIS DAN VISUALISASI PERSAMAAN KLEIN-GORDON PADA ELEKTRON DALAM SUMUR POTENSIAL DENGAN MENGGUNAKAN PROGRAM MATHEMATIC 10 Syahrul Humaidi; Tua Raja Simbolon; Russell Ong; Widya Nazri Afrida
PROSIDING SEMINAR NASIONAL FISIKA (E-JOURNAL) Vol 5 (2016): PROSIDING SEMINAR NASIONAL FISIKA (E-JOURNAL) SNF2016
Publisher : Program Studi Pendidikan Fisika dan Program Studi Fisika Universitas Negeri Jakarta, LPPM Universitas Negeri Jakarta, HFI Jakarta, HFI

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (783.23 KB) | DOI: 10.21009/0305020504

Abstract

Schrödinger equation is a wave equation that describes the behaviour of an electron including determining its energy levels. However, when the motion of electrons was assumed as relativistic motion(vc), then the schrödinger equation must be changed into Klein-Gordon equation(relativistic Schrödinger equation). In order to compare both equations, we analyzed and visualized the Klein-Gordon equation for an electron in a potential well with Wolfram Mathematica 10 software. The visualization from Mathematica 10 gave the same wavefunction graphs and probability density graphs as the Schrödinger equation. The difference is only in the visualization of energy levels graphs. Keywords:Klein-Gordon equation, Mathematica 10, electron, energy levels.
Calculating Transmission Coefficient on Superlattice Structure Using Propagation Matrix Method Russell Ong
FISITEK: Jurnal Ilmu Fisika dan Teknologi Vol 6, No 1 (2022)
Publisher : Universitas Islam Negeri Sumatera Utara Medan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30821/fisitekfisitek.v6i1.11549

Abstract

The tunneling effect is a phenomenon where the particle can penetrate the barrier potential even though the particle energy is smaller than the barrier potential value. The probability of an electron to penetrate the barrier potential depends on the transmission coefficient. This study aims to investigate the transmission coefficient on the superlattice structure. The studied superlattice structure is formed from 12 potential barriers which are divided into two types of barriers (barrier A and barrier B). Thus, the periodicity of this superlattice is the periodicity of the two types of barrier potentials that align to each other. The transmission coefficient was calculated numerically using the matrix propagation method with the support from MATLAB R2009a software. The variations in the value of the barrier potential A are 5 eV, 10 eV, and 15 eV, while the variations in the value of the barrier potential B are 5 eV and 10 eV. Subsequently, the concept of electron effective mass is also included once in the state of barrier potential A (B) of 5 eV (10 eV). To observe clearly the miniband and minigap, the electron energies were varied from 0 eV―15 eV. The exception is when it involves the concept of electron effective mass where the electron energy is varied from 0 eV―30 eV. Based on the results of numerical computations, the graph of relation between transmission coefficient and electron energy showed that minigap and miniband are also formed in this structure. The width of the minigap from the first to next does not increase continuously, but changes iteratively from small to large and so on. When the concept of effective mass of electrons is taken into account, the electron energy range under test must be set higher so that it is clear whether the miniband and minigap are alternately formed.
IDENTIFIKASI LITOLOGI MENGGUNAKAN GEOLISTRIK KONFIGURASI WENNER DI DESA LAMA KABUPATEN DELI SERDANG Russell Ong; Hendriwansyah Putra; Ratni Sirait; Lailatul Husna Lubis
EINSTEIN (e-Journal) Vol 10, No 3 (2022): EINSTEIN (e-Journal)
Publisher : Universitas Negeri Medan

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (401.984 KB) | DOI: 10.24114/einstein.v10i3.39514

Abstract

Identifikasi bawah permukaan di Desa Lama dilakukan dengan menggunakan geolistrik konfigurasi wenner untuk mengetahui jenis batuan yang memiliki porositas dan permeabilitas yang cukup tinggi agar dapat ditentukan dalam pembuatan sumur resapan. Penelitian ini bertujuan untuk mengetahui kondisi bawah permukaaan di Desa Lama Kabupaten Deli Serdang berdasarkan nilai resistvitas dan porositas batuannya. Hasil penelitian menunjukkan terdapat tiga jenis batuan penyusun yaitu batu lempung dengan nilai resistivitas 5,04-13,7  dan tersebar pada jarak 40-170 meter dengan kedalaman 2,58-24,9 meter. Pasir dengan nilai resistivitas 13,7-19,8  dan tersebar pada jarak 15-205 meter dengan kedalaman 2,58-18,5 meter. Kerikil dengan nilai resistivitas 26,6  dan tersebar pada jarak 73-196 meter dengan kedalaman 2,58-10 meter. Jenis batuan yang memiliki porositas tinggi dan mudah dilalui air dengan nilai 20%, permeabilitas (kelolosan) dengan nilai 4100 /hari, nilai resistivitasnya 26,6 . Lapisan ini berada di kedalaman 2,58-10 meter dan tersebar pada jarak 73-196 meter di lokasi penelitian.
Calculating InN/GaN Transmission Coefficient from Single Barrier to Five Barriers with Propagation Matrix and Transfer Matrix Methods Ishmah Ulya; Russell Ong; Yuan Alfinsyah Sihombing
Al-Fiziya: Journal of Materials Science, Geophysics, Instrumentation and Theoretical Physics AL-FIZIYA JOURNAL OF MATERIALS SCIENCE, GEOPHYSICS, INSTRUMENTATION AND THEORETICAL PHYSICS VOL.5, N
Publisher : Physics Study Programme, Faculty of Science and Technology UIN Syarif Hidayatullah Jakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15408/fiziya.v5i2.28549

Abstract

In this study, the value of transmission coefficient on InN/GaN semiconductor from a single barrier to five barriers was determined by using the propagation matrix method and the transfer matrix method. This study aims to see the effect of adding a barrier to the number of resonance tunneling that occurs, to see the difference in transmission coefficient values which was obtained with the two methods, and to determine the effectiveness of the program execution process time from the propagation matrix and transfer matrix methods using Matlab programming. The results obtained indicated that the value of the transmission coefficient obtained from the two methods was the same. As the number of barriers increases, the number of resonance tunneling that occurs will increase. These two matrix methods had differences in terms of the effectiveness of the program execution process time and calculation process. The propagation matrix method was considered more effective than the transfer matrix method.