Numerical treatment of the quantum fractional oscillator
Dissertant
Thesis advisor
Rabi, Iqab Mahmud
al-Jamal, Ahmad Fawwaz
Comitee Members
Nawafilah, Khalid
al-Widyan, Hatim Salih
Abu Sini, Majid
University
Al albayt University
Faculty
Faculty of Sciences
Department
Department of Physics
University Country
Jordan
Degree
Master
Degree Date
2011
English Abstract
In this work, we study numerically the confined quantum harmonic oscillator within the frame of fractional Schrodinger equation with fractional derivative orders restricted by 0 < a < 1.
The Caputo derivative is used.
The analysis is carried out using a numerical technique proposed elsewhere, which is based on the homotopy technique.
The eigenvalues are found and eigenftinctions (solutions) are sketched.
We have noted that the solutions have a smallest eigenvalues, says a, ia, and the number of real eigenvalues increases as the value of the cut-off n is increased.
We may conjecture that if (n-x) all eigenvalues become real.
Main Subjects
Topics
No. of Pages
29
Table of Contents
Table of contents.
Abstract.
Chapter One : introudction.
Chapter Two : fractional calculs.
Chapter Three : fractional quantum oscillator.
Chapter Four : results and discussions.
Chapter Five : summary and conclusions.
References.
American Psychological Association (APA)
al-Ulaymat, Nur Mansur Rizq. (2011). Numerical treatment of the quantum fractional oscillator. (Master's theses Theses and Dissertations Master). Al albayt University, Jordan
https://search.emarefa.net/detail/BIM-321753
Modern Language Association (MLA)
al-Ulaymat, Nur Mansur Rizq. Numerical treatment of the quantum fractional oscillator. (Master's theses Theses and Dissertations Master). Al albayt University. (2011).
https://search.emarefa.net/detail/BIM-321753
American Medical Association (AMA)
al-Ulaymat, Nur Mansur Rizq. (2011). Numerical treatment of the quantum fractional oscillator. (Master's theses Theses and Dissertations Master). Al albayt University, Jordan
https://search.emarefa.net/detail/BIM-321753
Language
English
Data Type
Arab Theses
Record ID
BIM-321753
