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All Journal Jurnal Kridatama Sains dan Teknologi Schrodinger : Jurnal Ilmiah Mahasiswa Pendidikan Fisika
Elviyanti, Isnaini Lilis
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Agriculture, Biological Sciences & Forestry Astronomy Civil Engineering, Building, Construction & Architecture Computer Science & IT Education Physics Social Sciences

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Solusi Persamaan Klein Gordon dengan Kombinasi Potensial Hiperbolik dalam 3D Koordinat Silinder Elviyanti, Isnaini Lilis; Syukron, Ahmad Aftah
Schrodinger Jurnal Ilmiah Mahasiswa Pendidikan Fisika Vol 5, No 1 (2024): Schrodinger Jurnal Ilmiah Mahasiswa Pendidikan Fisika
Publisher : UNIVERSITAS INDRAPRASTA PGRI

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30998/sch.v5i1.11504

Abstract

This research focuses on the relativistic energy and wave function for spin-zero particles using the Klein-Gordon Equation influenced by a combination of hyperbolic potentials, specifically the Hultn potential and the hyperbolic Scarf potentials type I and II. The main problem addressed is how to solve the Klein-Gordon Equation under anti-particle conditions, where the scalar potential is equal to the negative vector potential, and in separable non-central cylindrical coordinates.The objective of this research is to determine the relativistic energy and wave function of spin-zero particles under the mentioned conditions. To achieve this objective, the asymptotic iteration method (AIM) is used to solve the Klein-Gordon Equation, which has been reduced to three one-dimensional Schrdinger equations. This approach allows for the separation of variables in cylindrical coordinates, breaking the three-dimensional non-central cylindrical potential into radial (r), angular (?), and axial (z) components.The results of the research indicate that the relativistic energy and wave function can be obtained using the AIM. The relativistic energy is derived from the radial component, and the wave function is presented in the form of a hypergeometric equation. These results are presented as equations that show the relationship between energy and wave function with the involved variables.
Solusi Persamaan Schrodinger dengan Potensial Scraf II Hyperbolic menggunakan Pendekatan Semiklasik Syukron, Ahmad Aftah; Elviyanti, Isnaini Lilis
Jurnal Kridatama Sains dan Teknologi Vol 4 No 01 (2022): JURNAL KRIDATAMA SAINS DAN TEKNOLOGI
Publisher : Universitas Ma'arif Nahdlatul Ulama Kebumen

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (403.514 KB) | DOI: 10.53863/kst.v4i01.523

Abstract

The particle system is affected by the Scraf II Hyperbolic potential. The solution for solving the Schrodinger equation with the Scraff II Hyperbolic potential uses a semiclassical approach, namely using the WKB approach. The WKB approach is used to obtain an equation for the energy spectrum that is affected by the Scraf II Hyperbolic potential. Keywords: The Schrodinger equation, Hyperbolic Scraf II  potential, WKB approach
Co-Authors Syukron, Ahmad Aftah