Solving the fractional quantum harmonic oscillator using Dirac method
Dissertant
Thesis advisor
Comitee Members
al-Nasir, Husam
al-Sarhan, Muhammad
Khulayfah, Jamil
University
Al albayt University
Faculty
Faculty of Sciences
Department
Department of Physics
University Country
Jordan
Degree
Master
Degree Date
2006
English Abstract
The general ground fractional wave function of the time-independent Quantum harmonic oscillator in one dimension is derived using Dirac method (algebraic method), and the relation between the fractional and the standard ground wave function is discussed. A fractional operator is introduced as a general form of the standard operators.
The relationships between the fractional and the standard operators (number operator, creation-annihilation operators) are discussed.
The fractional states are built. Finally, some examples (special cases) have been summarized for different values of a (the derivation order) and p \ where 1 ~* a - 2 and ~* P ~, and calculated the difference in the energy between the fractional states.
Main Subjects
No. of Pages
43
Table of Contents
Table of contents.
Abstract.
Chapter One : introduction.
Chapter Two : literature review.
Chapter Three : the harmonic oscillator.
Chapter Four : the fractional wave Eigen-function.
Chapter Five : some results and discussion.
Conclusion.
References.
American Psychological Association (APA)
Shawaqifah, Shirin A.. (2006). Solving the fractional quantum harmonic oscillator using Dirac method. (Master's theses Theses and Dissertations Master). Al albayt University, Jordan
https://search.emarefa.net/detail/BIM-310865
Modern Language Association (MLA)
Shawaqifah, Shirin A.. Solving the fractional quantum harmonic oscillator using Dirac method. (Master's theses Theses and Dissertations Master). Al albayt University. (2006).
https://search.emarefa.net/detail/BIM-310865
American Medical Association (AMA)
Shawaqifah, Shirin A.. (2006). Solving the fractional quantum harmonic oscillator using Dirac method. (Master's theses Theses and Dissertations Master). Al albayt University, Jordan
https://search.emarefa.net/detail/BIM-310865
Language
English
Data Type
Arab Theses
Record ID
BIM-310865
