SOLUSI PERSAMAAN SCHRODINGER TAK GAYUT WAKTU UNTUK KASUS SUMUR POTENSIAL 1D (POTENTIAL WELL) BERBASIS PEMROGRAMAN PYTHON (PYTHON PROGRAMMING) MENGGUNAKAN JUPYTER NOTEBOOK

SAPUTRA, ABDUL AZIZ and Bama, Akhmad Aminuddin and Supardi, Supardi (2023) SOLUSI PERSAMAAN SCHRODINGER TAK GAYUT WAKTU UNTUK KASUS SUMUR POTENSIAL 1D (POTENTIAL WELL) BERBASIS PEMROGRAMAN PYTHON (PYTHON PROGRAMMING) MENGGUNAKAN JUPYTER NOTEBOOK. Undergraduate thesis, Sriwijaya University.

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Abstract

Completion of the potential well model will be solved analytically and using a computational model based on the Python programming language, which aims to visualize the wave function, find the relationship of particle energy to the reflection and transmission coefficients, determine the eigenvalues, and find out the relationship of eigenvalues to well width and well depth. The particle energies in the non-localized case to be observed are 85x10^(-39)J, 70x10^(-39) J, 45x10^(-39) J, 20x10^(-39) J, 5x10^(-39) J, 2x10^(-39) J, 0.5x10^(-39) J, 0.25x10^(-39) J, 0.05x10^(-39) J, and 0.001x10^(-39) J, with potential barrier V_0= -35x10^(-39) J, and value a=3. Then for the bound condition the potential value of the well to look for the eigenvalues is -15x10^(-39) J, -45x10^(-39) J, -100x10^(-39) J, -250x10^(-39) J, and 325x10^(-39) J, with variations a=(1,2,3). The results obtained for non-localized states, particles with an energy of 85x10^(-39) J give a reflection coefficient of 0.028862 and a transmission coefficient of 0.971138, showing that even though the energy of the particles is much greater than their potential, there are still particles that are reflected back. Besides that, a particle with an energy of 0.001x10^(-39) J gives a reflection coefficient of 0.999879 and a transmission coefficient of 0.000121, showing that no matter how small the particle's energy (E≈0) is, there are still particles that can pass past the potential. For the bound state, an increase in the width of the well has a greater effect on the number of eigenvalue points than an increase in the potential depth.

Item Type: Thesis (Undergraduate)
Uncontrolled Keywords: Kuantum, Schrodinger, Potensial Sumur, Nilai Eigen, Python
Subjects: Q Science > QC Physics > QC170-197 Atomic physics. Constitution and properties of matter. Including molecular physics, relativity, quantum theory, and > QC173.4.I57 Interfaces (Physical sciences) -- Mathematics. Crystallization -- Mathematical models. Mathematical physics.
Divisions: 08-Faculty of Mathematics and Natural Science > 45201-Physics (S1)
Depositing User: Abdul Aziz Saputra
Date Deposited: 30 May 2023 07:22
Last Modified: 30 May 2023 07:22
URI: http://repository.unsri.ac.id/id/eprint/105968

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