Canonical formulation of singular systems

Dissertant

Nassar, Zahir Mahmud Khalil

Thesis advisor

Farahat, Nasir I.

University

Islamic University

Faculty

Faculty of Science

Department

Department of Physics

University Country

Palestine (Gaza Strip)

Degree

Master

Degree Date

2002

English Abstract

Some physical systems are studied as singular systems.

Both the canonical formulation (Guler’s method) and Dirac’s method are used throughout this work.

The equations of motion described by Guler are total differential equations in many variables.

They are integrable if and only if the integrability conditions are identically satisfied.

The solutions of these equations give the fields, which describe the trajectories of the system.

Various applications, namely the relativistic spinless particle system and the spinning particle or super-gravity in one dimension, are investigated by using the above formulations.

The relativistic classical spinning particle system with second-order Lagrangian is also studied by using the same methods.

A comparison between the two approaches is held.

The results are found in exact agreement, that indicates the validity of the study.

Main Subjects

Physics

Topics

• Physics
• Mechanics
• Dynamics
• Quantum theory

No. of Pages

60

Table of Contents

• APA
• MLA
• AMA

Language

English

Data Type

Arab Theses

Record ID

BIM-303342