A review of constraints within the canonical Hamiltonian approach

Other Title(s)

مراجعة القيود ضمن تقريب الهاملتونيان القانوني

Dissertant

al-Sharari, Abd al-Aziz Sulayym Salamah

Thesis advisor

al-Nawafilah, Khalid Isa

Comitee Members

Hijjawi, Raid Shakir Abd al-Karim
al-Sabayilah, Muayyad Abd al-Rahim
Jadan, Muhannad Abd al-Hafiz

University

Mutah University

Faculty

Faculty of Science

Department

Department of physics

University Country

Jordan

Degree

Master

Degree Date

2015

English Abstract

In this work constrained Lagrangian systems have beenreviewed using two methods: Dirac’s and the canonical.

In both methods the Hamiltonian is achieved by introducing the definition of generalized by momenta.

In Dirac’s method the primary constraints multiplied by undetermined multipliers are added to the usual Hamiltonian to construct the total Hamiltonian and the equations of motion are derived from this total Hamiltonian.

While in the canonical method the equations of motion are derived from the Hamilton-Jacobi function after applying the canonical transformations, this is followed by determining the appropriate wave function in the reduced phase space, and the constraints then become operators on the wave function to be satisfied in the semi-classical limit.

Main Subjects

Physics

No. of Pages

35

Table of Contents

Table of contents.

Abstract.

Abstract in Arabic.

Chapter One : Introduction.

Chapter Two : Preliminaries.

Chapter Three : Applications.

Chapter Four : Conclusion.

References.

American Psychological Association (APA)

al-Sharari, Abd al-Aziz Sulayym Salamah. (2015). A review of constraints within the canonical Hamiltonian approach. (Master's theses Theses and Dissertations Master). Mutah University, Jordan
https://search.emarefa.net/detail/BIM-729632

Modern Language Association (MLA)

al-Sharari, Abd al-Aziz Sulayym Salamah. A review of constraints within the canonical Hamiltonian approach. (Master's theses Theses and Dissertations Master). Mutah University. (2015).
https://search.emarefa.net/detail/BIM-729632

American Medical Association (AMA)

al-Sharari, Abd al-Aziz Sulayym Salamah. (2015). A review of constraints within the canonical Hamiltonian approach. (Master's theses Theses and Dissertations Master). Mutah University, Jordan
https://search.emarefa.net/detail/BIM-729632

Language

English

Data Type

Arab Theses

Record ID

BIM-729632