Quantum electrodynamics and elastic fermion-fermion scattering Lagrangian density by using the Caputo fractional derivative

Other Title(s)

كثافة لاجرانج لتشتت فيرميون-فيرميون و الديناميكا الكهربائية الكمية باستخدام المشتقة الكسرية كابوتو

Dissertant

Bashayirah, Muhammad Qasim Salih

Thesis advisor

Jaradat, Imad Khalid Yusuf

Comitee Members

al-Tarawinah, Muadh Muhammad
al-Shar, Muhammad Abd al-Karim
Abd al-Rahman, Ahmad Abd al-Hayy

University

Mutah University

Faculty

Faculty of Science

Department

Department of physics

University Country

Jordan

Degree

Master

Degree Date

2016

English Abstract

The main goal of this work is to rewrite the Lagrangian density for Quantum Electrodynamics (QED) in fractional form by using Caputo's fractional derivative, using Euler-Lagrange equation in fractional form to find the equations of motion, and to find the Hamiltonian density by the same method . By using the Noether's theorem we found some conservative quantities like momentum and energy (stress energy tensor), which then rewritten by using Caputo's fractional derivative . Finally, we found that the equations in classical result are a special case of fractional form for the quantities above

Main Subjects

Physics

No. of Pages

52

Table of Contents

Table of contents.

Abstract.

Abstract in Arabic.

Chapter One : Introduction.

Chapter Two : Fractional calculus.

Chapter Three : Classical field theory.

Chapter Four : Fractional treatment.

References.

American Psychological Association (APA)

Bashayirah, Muhammad Qasim Salih. (2016). Quantum electrodynamics and elastic fermion-fermion scattering Lagrangian density by using the Caputo fractional derivative. (Master's theses Theses and Dissertations Master). Mutah University, Jordan
https://search.emarefa.net/detail/BIM-726438

Modern Language Association (MLA)

Bashayirah, Muhammad Qasim Salih. Quantum electrodynamics and elastic fermion-fermion scattering Lagrangian density by using the Caputo fractional derivative. (Master's theses Theses and Dissertations Master). Mutah University. (2016).
https://search.emarefa.net/detail/BIM-726438

American Medical Association (AMA)

Bashayirah, Muhammad Qasim Salih. (2016). Quantum electrodynamics and elastic fermion-fermion scattering Lagrangian density by using the Caputo fractional derivative. (Master's theses Theses and Dissertations Master). Mutah University, Jordan
https://search.emarefa.net/detail/BIM-726438

Language

English

Data Type

Arab Theses

Record ID

BIM-726438