Hamilton-Jacobi formulation of constrained particles and strings

Other Title(s)

صياغة هاملتون–جاكوبي للجسيمات و الأوتار المقيدة

Dissertant

Elegla, Hana Abd al-Karim

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

2007

English Abstract

In this dissertation, we explore various aspects of the singular physical systems, which are treated by using the Hamiltonian formulation of constrained systems. The Hamilton-Jacobi formalism, are presented for super symmetry models of super symmetric particles and string.

The formalism is applied to study the dynamics of massive Brink-Schwarz super particle and massless Seigel superparticle with simple super symmetry N = 1, possesses in the most popular superspace in physics R4j4.

The integrability conditions are satisfied, so the systems are integrable.

We have applied the method to obtain the classical dynamics in phase-space of massless spinning superparticles.

By proceeding in the same way, we analyze the dynamics of superparticle with extended super symmetric N = 2 coupled with an external superpotential, and various applications of superstring.

Firstly, we generalize this approach for a string that is propagating in 4D superspace.

Secondly, the example of Green-Schwarz superstring, which provides the most realistic string models, has been formulated.

Besides, a mechanical model of D = 11 superstring is constructed, and in terms of the Hamilton-Jacobi formalism the equations of motion are derived and discussed, as total differential equations in many variables.

Main Subjects

Physics

No. of Pages

68

Table of Contents

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Language

English

Data Type

Arab Theses

Record ID

BIM-303363