Fractional equations of motion for coupled Maxwell's and Dirac field

Other Title(s)

معادلات الحركة الكسرية لمجالي ماكسويل و ديراك

Dissertant

al-Qarallah, Ghadah Ali

Thesis advisor

Jaradat, Imad Khalid Yusuf

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

Physics

No. of Pages

43

Table of Contents

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Language

English

Data Type

Arab Theses

Record ID

BIM-656951