Constrained Hamiltonian systems with higher-order lagrangians
Other Title(s)
أنظمة هاملتون المقيدة للدوال اللاغرانجية ذوات الرتب العالية
Dissertant
Mahmud, Sabirin Subhi Muhammad
Thesis advisor
Comitee Members
al-Saqqa, Bassam Hashim
Surur, Muin Khalil
University
Islamic University
Faculty
Faculty of Science
Department
Department of Physics
University Country
Palestine (Gaza Strip)
Degree
Master
Degree Date
2015
English Abstract
The higher?order regular Lagrangian is reduced to rst?order singular Lagrangian.
Dirac's method of discrete regular systems with higher?order Lagrangian, are studied as singular systems with rst?order Lagrangian, and the equations of motion are obtained.
It is shown that the Hamilton?Jacobi approach leads to the same equations of motion as obtained by Dirac's method.
The second?order and third?order Lagrangian are studied as an examples.
The Hamilton?Jacobi formulation for rst?order constrained systems has been discussed.
In such formalism the equations of motion are written as total di erential equations in many variables.
We generalize the Hamilton?Jacobi formulation for singular systems with second?order Lagrangians and apply this new formulation to Podolsky electrodynamics, comparing the results with the results obtained through Dirac's method.
The equations of motion for the associated Lagrangian to a nonholonomic Lagrangian of second?order are computed in both methods Dirac and Hamilton?Jacobi.
Besides, the canonical path integral quantization was obtained to quantize singular systems.
All the results obtained using Hamilton?Jacobi method, are in exact agreement with those results obtained using Dirac's method
Main Subjects
No. of Pages
60
Table of Contents
Table of contents.
Abstract.
Abstract in Arabic.
Chapter One : Introduction.
Chapter Two : Applications on second and third order lagrangians.
Chapter Three : The lagrangian of podolosky electrodynamics.
Chapter Four : Quantization of regular lagrangian of nonholonomic spinning particle.
Chapter Five : Conclusion.
References.
American Psychological Association (APA)
Mahmud, Sabirin Subhi Muhammad. (2015). Constrained Hamiltonian systems with higher-order lagrangians. (Master's theses Theses and Dissertations Master). Islamic University, Palestine (Gaza Strip)
https://search.emarefa.net/detail/BIM-615631
Modern Language Association (MLA)
Mahmud, Sabirin Subhi Muhammad. Constrained Hamiltonian systems with higher-order lagrangians. (Master's theses Theses and Dissertations Master). Islamic University. (2015).
https://search.emarefa.net/detail/BIM-615631
American Medical Association (AMA)
Mahmud, Sabirin Subhi Muhammad. (2015). Constrained Hamiltonian systems with higher-order lagrangians. (Master's theses Theses and Dissertations Master). Islamic University, Palestine (Gaza Strip)
https://search.emarefa.net/detail/BIM-615631
Language
English
Data Type
Arab Theses
Record ID
BIM-615631
