Treatment Lagrangian density of nonlinear Schrödinger equation by using Riemann-Liouville fractional derivative
Other Title(s)
كثافة لاجرانج لمعادلة شرودنجر الغير خطية
Dissertant
Thesis advisor
Jaradat, Imad Khalid Yusuf
Hajjawi, Raid Shakir
Comitee Members
al-Uqayli, Amir Dakhil
Musa, Ahmad Abd al-Hayy Abd al-Rahman
al-Sabayilah, Muayyad Abd al-Rahim
University
Mutah University
Faculty
Faculty of Science
Department
Department of physics
University Country
Jordan
Degree
Master
Degree Date
2015
English Abstract
The main object of this work is reformulating the non linear Schrodinger Lagrangian density by using Riemann-Liouville (RL) fractional derivative.
Using the fractional variation principle, we determine fractional Euler-Lagrange equations and fractional Hamiltonian equations and fractional stress energy tensor equations resulting from the non linear Lagrangian density using the same definition of the fractional derivatives.
And we can say the Euler-Lagrange equations and Hamiltonian equations and stress energy tensor equations in classical form is the special case from the fractional derivatives when (α = 1) .
Main Subjects
Topics
No. of Pages
48
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-Ukur, Ibrahim Muhammad. (2015). Treatment Lagrangian density of nonlinear Schrödinger equation by using Riemann-Liouville fractional derivative. (Master's theses Theses and Dissertations Master). Mutah University, Jordan
https://search.emarefa.net/detail/BIM-656964
Modern Language Association (MLA)
al-Ukur, Ibrahim Muhammad. Treatment Lagrangian density of nonlinear Schrödinger equation by using Riemann-Liouville fractional derivative. (Master's theses Theses and Dissertations Master). Mutah University. (2015).
https://search.emarefa.net/detail/BIM-656964
American Medical Association (AMA)
al-Ukur, Ibrahim Muhammad. (2015). Treatment Lagrangian density of nonlinear Schrödinger equation by using Riemann-Liouville fractional derivative. (Master's theses Theses and Dissertations Master). Mutah University, Jordan
https://search.emarefa.net/detail/BIM-656964
Language
English
Data Type
Arab Theses
Record ID
BIM-656964
