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Fractional equations of motion for coupled Maxwell's and Dirac field
Other Title(s)
معادلات الحركة الكسرية لمجالي ماكسويل و ديراك
Dissertant
Thesis advisor
Comitee Members
al-Tarawinah, Muadh Muhammad
al-Sarayirah, Shirin Abd al-Qadir
Nawafilah, Khalid Isa
University
Mutah University
Faculty
Faculty of Science
Department
Department of physics
University Country
Jordan
Degree
Master
Degree Date
2015
English Abstract
The main goal of this work is to reformulate the coupled Maxwell- Dirac Lagrangian density by using the fractional calculus method (Caputo fractional derivative).Using the fractional variational principle, we determined fractional Euler-Lagrange equations and fractional Hamiltonian equations resulting from the Maxwell-Dirac Lagrangian density using the same definition of the fractional derivatives.
we determine the conserved quantities using stress tensor of Maxwell-Dirac field such as energy and momentum. Then we use canonical quantization to write the Hamiltonian in terms of the creation and annihilation operators. Its found that the classical results are a particular case of the fractional formulation for both Euler-Lagrange and Hamiltonian equations.
Main Subjects
No. of Pages
43
Table of Contents
Table of contents.
Abstract.
Abstract in Arabic.
Chapter One : Introduction.
Chapter Two : Fractional calculus.
Chapter Three : Classical field theory.
Chapter Four : Fractonal treatment.
References.
American Psychological Association (APA)
al-Qarallah, Ghadah Ali. (2015). Fractional equations of motion for coupled Maxwell's and Dirac field. (Master's theses Theses and Dissertations Master). Mutah University, Jordan
https://search.emarefa.net/detail/BIM-656951
Modern Language Association (MLA)
al-Qarallah, Ghadah Ali. Fractional equations of motion for coupled Maxwell's and Dirac field. (Master's theses Theses and Dissertations Master). Mutah University. (2015).
https://search.emarefa.net/detail/BIM-656951
American Medical Association (AMA)
al-Qarallah, Ghadah Ali. (2015). Fractional equations of motion for coupled Maxwell's and Dirac field. (Master's theses Theses and Dissertations Master). Mutah University, Jordan
https://search.emarefa.net/detail/BIM-656951
Language
English
Data Type
Arab Theses
Record ID
BIM-656951