Canonical transformations and kinematic equations
Other Title(s)
التحولات القانونية و معادلات الحركة
Dissertant
al-Sarayirah, Ahd Ayman Muhammad
Thesis advisor
University
Mutah University
Faculty
Faculty of Science
Department
Department of physics
University Country
Jordan
Degree
Master
Degree Date
2021
Arabic Abstract
تهدف هذه الرساله الى تبسيط معادلات الحركة عن طريق مجموعة التحولات القانونية التي تحول احداثيات الهاملتون الى احداثيات جديدة تحقق اقواس بواسون و تنتج هاملتون جديد.
حيث اظهرنا اقتران الدالة المولدة و التي تلعب دوراً مهم في ايجاد الاقتران الرئيسي و الاقتران المميز للهاملتون الجديد، و وضحنا العلاقة التي تربط الهاملتون جاكوبي في الميكانيكا الكلاسيكية و ميكانيكا الكم عن طريق طرح بعض الامثلة كما وضعنا في ختام هذه الدراسة بعض التوصيات و المقترحات لبحوث جديدة.
English Abstract
This thesis aims to simplify the kinematic equations through a set of canonical transformations that convert the Hamiltonian coordinates into new coordinates that fulfill Poisson's brackets and produce a new Hamiltonian.
Where we demonstrated the generation function, which plays an important role in finding the main function and the distinctive function of the new Hamilton, and explained the relationship that links Hamilton Jacobi to in classical and quantum mechanics by offering some examples, at the conclusion of this study, we put some recommendations and proposals for new research.
Main Subjects
No. of Pages
33
Table of Contents
Table of contents.
Abstract.
Abstract in Arabic.
Chapter One : Introduction
Chapter Two : The Hamiltonian-Jacobi and canonical transformations.
Chapter Three : Generating functions.
Chapter Four : Hamilton Jacobi in mechanics.
References.
American Psychological Association (APA)
al-Sarayirah, Ahd Ayman Muhammad. (2021). Canonical transformations and kinematic equations. (Master's theses Theses and Dissertations Master). Mutah University, Jordan
https://search.emarefa.net/detail/BIM-1332221
Modern Language Association (MLA)
al-Sarayirah, Ahd Ayman Muhammad. Canonical transformations and kinematic equations. (Master's theses Theses and Dissertations Master). Mutah University. (2021).
https://search.emarefa.net/detail/BIM-1332221
American Medical Association (AMA)
al-Sarayirah, Ahd Ayman Muhammad. (2021). Canonical transformations and kinematic equations. (Master's theses Theses and Dissertations Master). Mutah University, Jordan
https://search.emarefa.net/detail/BIM-1332221
Language
English
Data Type
Arab Theses
Record ID
BIM-1332221
