The lattice green's function of the face-centered cubic at point lattice site (2p,0,0)
Other Title(s)
دالة غرين الشبكية لشبيكة المكعب المتمركز الوجوه عند نقطة الشبكية (2p,0,0)
Dissertant
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 الدراسة الى حساب دالة غرين الشبكية لشبيكة المكعب المتمركز الوجوه عند نقطة الشبكية ( lm, n) و عرضت الصيغ على شكل تكاملات اهليجية كاملة من النوع الأول و النوع الثاني و للوصول الى صيغ مبسطة لشبكية المكعب مركزية الوجه ثم تطبيق ناقل جزئي اهليجي وسنطبق صيغ قياسية للحصول على صيغ مبسطة جديدة لدالة غرين الشبكية لشبيكة المكعب المتمركز و اخيرا تقديم بعض تطبيقات لدالة غرين الشبكية لشبيكة المكعب المتمركز الوجوه عند نقطة الشبكية (2p, 0,0).
English Abstract
This thesis aims to calculate the green’s function for the face centered lattice to investigated the analytical properties for face centered lattice.
We will evaluate the lattice green’s function G (l, m, n) in terms of complete elliptic integrals of the first kind and second kind.
Elliptic modular transformation is applied to express a simplified formula for the lattice green function and derive of the lattice green’s function for the face centered lattice in terms of a hypergeometric function.
Some application of the lattice green function is show
Main Subjects
No. of Pages
31
Table of Contents
Table of contents.
Abstract.
Abstract in Arabic.
Chapter One : Introduction.
Chapter Two : General formalism.
Chapter Three : Connection lattices green’s functions with face centered lattice green’s function.
Chapter Four : Application on lattice green s function and concluding remarkes.
References.
American Psychological Association (APA)
al-Mazid, Ahmad Ali Isa. (2020). The lattice green's function of the face-centered cubic at point lattice site (2p,0,0). (Master's theses Theses and Dissertations Master). Mutah University, Jordan
https://search.emarefa.net/detail/BIM-1393718
Modern Language Association (MLA)
al-Mazid, Ahmad Ali Isa. The lattice green's function of the face-centered cubic at point lattice site (2p,0,0). (Master's theses Theses and Dissertations Master). Mutah University. (2020).
https://search.emarefa.net/detail/BIM-1393718
American Medical Association (AMA)
al-Mazid, Ahmad Ali Isa. (2020). The lattice green's function of the face-centered cubic at point lattice site (2p,0,0). (Master's theses Theses and Dissertations Master). Mutah University, Jordan
https://search.emarefa.net/detail/BIM-1393718
Language
English
Data Type
Arab Theses
Record ID
BIM-1393718
