The linear sigma model Lagrangian density : fractional formulation
Other Title(s)
النموذج الخطي سيغما : صياغة كسرية
Dissertant
al-Khamaysah, Bashshar Mustafa
Thesis advisor
al-Uqayli, Amir Dakhil
Hajjawi, Raid Shakir
Comitee Members
al-Tarawinah, Muadh Muhammad
al-Nawafilah, Khalid Isa
Jadan, Muhannad Abd al-Hafiz
University
Mutah University
Faculty
Faculty of Science
Department
Department of physics
University Country
Jordan
Degree
Master
Degree Date
2015
English Abstract
In this work we reformulated the Linear Sigma Model using fractional calculus by the left-right Riemann-Liouville fractional derivative.
Also we rewrote the Linear Sigma Model in fractional form using these methods using the fractional variation principle; we determined fractional Euler-Lagrange equations and fractional Hamiltonian equations resulting from the Linear Sigma Model using the same definition of the fractional derivatives.
We found that the classical results are obtained as a particular case of the fractional formulation for Euler-Lagrange, Hamiltonian equations.
Main Subjects
Topics
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 : Fractional treatment.
References.
American Psychological Association (APA)
al-Khamaysah, Bashshar Mustafa. (2015). The linear sigma model Lagrangian density : fractional formulation. (Master's theses Theses and Dissertations Master). Mutah University, Jordan
https://search.emarefa.net/detail/BIM-656923
Modern Language Association (MLA)
al-Khamaysah, Bashshar Mustafa. The linear sigma model Lagrangian density : fractional formulation. (Master's theses Theses and Dissertations Master). Mutah University. (2015).
https://search.emarefa.net/detail/BIM-656923
American Medical Association (AMA)
al-Khamaysah, Bashshar Mustafa. (2015). The linear sigma model Lagrangian density : fractional formulation. (Master's theses Theses and Dissertations Master). Mutah University, Jordan
https://search.emarefa.net/detail/BIM-656923
Language
English
Data Type
Arab Theses
Record ID
BIM-656923
