The complex Klein Gordon field : fractional formulation

Other Title(s)

مجال لاغرانج كلاين-غوردون : صياغة كسرية

Dissertant

Sulayman, Murad Qassab K.

Thesis advisor

Hijjawi, Raid Shakir Abd al-Karim
al-Nawafilah, Khalid Isa

Comitee Members

al-Wardat, Mashhur Ahmad Salamah
al-Uqayli, Amir Dakhil
Jaradat, Imad Khalid Yusuf

University

Mutah University

Faculty

Faculty of Science

Department

Department of physics

University Country

Jordan

Degree

Master

Degree Date

2014

English Abstract

In this work we reformulated the complex Klein Gordon Field using fractional calculus by: left-right Riemann-Liouville fractional derivative.

Also we rewrote the complex Klein-Gordon field in fractional form using these methods using the fractional variation principle, we determined fractional Euler-Lagrange equations and fractional Hamiltonian equations resulting from the complex Klein Gordon field using the same definition of the fractional derivatives.

In the second part of this work we studied the canonical quantization for the complex Klein Gordon field by defining the dynamical coordinate and the canonical conjugate momentum.

Then we wrote the Hamiltonian in fractional form.

We found that the classical results are obtained as a particular case of the fractional formulation for Euler-Lagrange, Hamilton equations and canonical commutation relations

Main Subjects

Physics

Topics

• Mathematical physics

No. of Pages

33

Table of Contents

• APA
• MLA
• AMA

Language

English

Data Type

Arab Theses

Record ID

BIM-561513