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Mathematica Packages for Solving Schrodinger Equation with One Dimensional Rectangular Potentials


Siddig, Abubaker Ahmed Mohamed (2003) Mathematica Packages for Solving Schrodinger Equation with One Dimensional Rectangular Potentials. Masters thesis, Universiti Putra Malaysia.


The determination of eigenvalues and their related eigenfunctions is one of the central problems of quantum mechanics. In this work, the problem of finding energy eigenvalues and eigenfunctions are aptly demonstrated with one dimensional systems of infinite double square well potential, finite double square well potential, rectangular potential hole between two walls and asymmetric square well potential. We develop Mathematica packages for which the Schrodinger equations are solved for each model. The solutions are obtained by graphical and numerical methods in these packages. The packages are easy to use; the user does not need to know the details of the packages in order to use them but the user has a direct control over parameters of the models. Eigenvalues and eigenfunctions have been obtained for various well depths and widths as well as various barrier widths. They are shown to have appropriate limiting solutions. The packages are stable, fast, efficient and can serve as useful tools for teaching systems of one dimensional rectangular potential, in quantum mechanics.

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Additional Metadata

Item Type: Thesis (Masters)
Subject: Schrödinger equation.
Subject: Quantum theory.
Subject: Mathematics - Data processing.
Call Number: FSAS 2003 57
Chairman Supervisor: Associate Professor Hishamuddin Zainuddin, PhD
Divisions: Faculty of Environmental Studies
Depositing User: Laila Azwa Ramli
Date Deposited: 17 Feb 2011 06:17
Last Modified: 28 Nov 2023 02:16
URI: http://psasir.upm.edu.my/id/eprint/9604
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