صورة الغلاف

Technical report: a study of Schrödinger equation - analytical and Numerov method / Nur Shairani Mohd Shohaimi

Schrödinger equation is one of the basic equations of quantum mechanics. In this project, the series solution is used to solve the time independent Schrödinger equation for harmonic oscillator potential. The power-series expansion is used to calculate the energy of harmonic oscillators. The Numerov...

وصف كامل

محفوظ في:
التفاصيل البيبلوغرافية
المؤلف الرئيسي: Mohd Shohaimi, Nur Shairani
التنسيق: Student Project
اللغة:English
منشور في: 2013
الموضوعات:
Research
Lectures and lecturing
QA Mathematics
الوصول للمادة أونلاين:https://ir.uitm.edu.my/id/eprint/108920/1/108920.pdf
https://ir.uitm.edu.my/id/eprint/108920/
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id my.uitm.ir.108920
record_format eprints
spelling my.uitm.ir.1089202025-01-09T06:16:53Z https://ir.uitm.edu.my/id/eprint/108920/ Technical report: a study of Schrödinger equation - analytical and Numerov method / Nur Shairani Mohd Shohaimi Mohd Shohaimi, Nur Shairani Research Lectures and lecturing QA Mathematics Schrödinger equation is one of the basic equations of quantum mechanics. In this project, the series solution is used to solve the time independent Schrödinger equation for harmonic oscillator potential. The power-series expansion is used to calculate the energy of harmonic oscillators. The Numerov method is used to solve the Schrodinger in infinite spherical well. The results of harmonic oscillator and infinite spherical well are obtained by using MATLAB. The graphs of the wave function and probability distribution of a harmonic oscillator for n=O, l,2,3,4,5,10 are plotted. The wave function of hannonic oscillator potential has greater peaks near both edges and have a smallest amplitude and loop length near x = 0. The graphs of the radial part of wave function of infinite spherical well are plotted for angular quantum number (ℓ) =O, 1, 2, 3. The power series is suitable to calculate the wave function of harmonic oscillator potential and the Numerov method can be used to solve the radial equation for some values ℓ. 2013 Student Project NonPeerReviewed text en https://ir.uitm.edu.my/id/eprint/108920/1/108920.pdf Technical report: a study of Schrödinger equation - analytical and Numerov method / Nur Shairani Mohd Shohaimi. (2013) [Student Project] <http://terminalib.uitm.edu.my/108920.pdf> (Unpublished)
institution Universiti Teknologi Mara
building Tun Abdul Razak Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Teknologi Mara
content_source UiTM Institutional Repository
url_provider http://ir.uitm.edu.my/
language English
topic Research
Lectures and lecturing
QA Mathematics
spellingShingle Research
Lectures and lecturing
QA Mathematics
Mohd Shohaimi, Nur Shairani
Technical report: a study of Schrödinger equation - analytical and Numerov method / Nur Shairani Mohd Shohaimi
description Schrödinger equation is one of the basic equations of quantum mechanics. In this project, the series solution is used to solve the time independent Schrödinger equation for harmonic oscillator potential. The power-series expansion is used to calculate the energy of harmonic oscillators. The Numerov method is used to solve the Schrodinger in infinite spherical well. The results of harmonic oscillator and infinite spherical well are obtained by using MATLAB. The graphs of the wave function and probability distribution of a harmonic oscillator for n=O, l,2,3,4,5,10 are plotted. The wave function of hannonic oscillator potential has greater peaks near both edges and have a smallest amplitude and loop length near x = 0. The graphs of the radial part of wave function of infinite spherical well are plotted for angular quantum number (ℓ) =O, 1, 2, 3. The power series is suitable to calculate the wave function of harmonic oscillator potential and the Numerov method can be used to solve the radial equation for some values ℓ.
format Student Project
author Mohd Shohaimi, Nur Shairani
author_facet Mohd Shohaimi, Nur Shairani
author_sort Mohd Shohaimi, Nur Shairani
title Technical report: a study of Schrödinger equation - analytical and Numerov method / Nur Shairani Mohd Shohaimi
title_short Technical report: a study of Schrödinger equation - analytical and Numerov method / Nur Shairani Mohd Shohaimi
title_full Technical report: a study of Schrödinger equation - analytical and Numerov method / Nur Shairani Mohd Shohaimi
title_fullStr Technical report: a study of Schrödinger equation - analytical and Numerov method / Nur Shairani Mohd Shohaimi
title_full_unstemmed Technical report: a study of Schrödinger equation - analytical and Numerov method / Nur Shairani Mohd Shohaimi
title_sort technical report: a study of schrödinger equation - analytical and numerov method / nur shairani mohd shohaimi
publishDate 2013
url https://ir.uitm.edu.my/id/eprint/108920/1/108920.pdf
https://ir.uitm.edu.my/id/eprint/108920/
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score 13.251813

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