Methods in the treatment of singular lagrangian

Other Title(s)

طرق في معالجات اللاجرانج الأحادي

Dissertant

al-Sultan, Dhib Yasir Dhib

Thesis advisor

Farahat, Nasir Ismail

University

Islamic University

Faculty

Faculty of Science

Department

Department of Physics

University Country

Palestine (Gaza Strip)

Degree

Master

Degree Date

2017

English Abstract

In this thesis, the singular Lagrangian is studied by three approaches.

The Hamiltonian formalism is treated using both Dirac, s method and G¨uler method (HamiltonJacobi method ).

The third approach is to treat the singular Lagrangian as field (or continuous) system.

In Dirac, s method, one introduces a primary constraints to the first - class constraints which have vanishing poisson brackets.

The equation of motion are obtained as total derivatives in terms of poisson brackets.

In Hamilton-Jacobi formulation, which developed by G¨uler, the equations of motion are written as total differential equations in many variables.

These equations must satisfy the integrability conditions.

The third approach is the treating of the singular Lagrangian as field (or continuous) system, We mixed both Lagrangian formulation and Hamilton-Jacobi method to obtain a solvable partial differential equation of second order.

The solution of these equations are obtained easily.

These solution satisfied the equations of motion.

In these three approach, the equation of motion are built for several physical models and integrability conditions of these equations of motion are discussed.

A comparison between the results of these approaches is done and it is shown that the results are the same.

Main Subjects

Physics

No. of Pages

51

Table of Contents

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Language

English

Data Type

Arab Theses

Record ID

BIM-902779