Calculation of the green’s function for the body centered cubic lattice at arbitrary sites
Other Title(s)
حساب دالة غرين لشبكية المكعب مركزية الجسم عند مواقع اختيارية
Dissertant
al-Banawi, Bakr Ata Allah Salih
Thesis advisor
Hijjawi, Raid Shakir Abd al-Karim
University
Mutah University
Faculty
Faculty of Science
Department
Department of physics
University Country
Jordan
Degree
Master
Degree Date
2020
Arabic Abstract
تهدف هذه الرسالة إلى حساب دالة غرين لشبكية المكعب مركزية الجسم بدلالة تكاملات إهليجية كاملة من النوع الأول، وقد تم تطبيق ناقل جزئي اهليجي للحصول على صيغ جديدة مبسطة تتعلق بدالة غرين لشبكية المكعب مركزية الجسم.
في هذا العمل تم ربط دالة غرين لشبكية المكعب مركزية الجسم مع دالة غرين للشبكية السداسية ( شكل خلية النحل) في بعدين.
بعض من التطبيقات لدالة غرين تم توضيحها في هذا العمل.
English Abstract
This thesis aims to calculate the lattice Green’s function for the bodycentered cubic lattice in terms of complete elliptic integrals of the first kind.
Elliptic modular transformation is applied to obtain a new simplified formulas related to the lattice Green’s function for the body centered cubic lattice.
In this work the lattice Green’s function for the body centered cubic lattice is connected with honeycomb lattice Green’s function in two dimensions.
Some applications of the lattice Green’s function for bodycentered cubic are showed in this research.
Main Subjects
No. of Pages
34
Table of Contents
Table of contents.
Abstract.
Abstract in Arabic.
Chapter One : Introduction.
Chapter Two : Formalism.
Chapter Three : Connection the body centered cubic lattice with the honeycomb lattice green’s function.
Chapter Four : Applications on body centered cubic lattice green’s function and concluding remarks.
References.
American Psychological Association (APA)
al-Banawi, Bakr Ata Allah Salih. (2020). Calculation of the green’s function for the body centered cubic lattice at arbitrary sites. (Master's theses Theses and Dissertations Master). Mutah University, Jordan
https://search.emarefa.net/detail/BIM-1400879
Modern Language Association (MLA)
al-Banawi, Bakr Ata Allah Salih. Calculation of the green’s function for the body centered cubic lattice at arbitrary sites. (Master's theses Theses and Dissertations Master). Mutah University. (2020).
https://search.emarefa.net/detail/BIM-1400879
American Medical Association (AMA)
al-Banawi, Bakr Ata Allah Salih. (2020). Calculation of the green’s function for the body centered cubic lattice at arbitrary sites. (Master's theses Theses and Dissertations Master). Mutah University, Jordan
https://search.emarefa.net/detail/BIM-1400879
Language
English
Data Type
Arab Theses
Record ID
BIM-1400879
