Quantization of nonholonomic constraints using the WKB approximation

Other Title(s)

WKB تكميم القيود غير التامة باستخدام تقريب

Dissertant

al-Ajalin, Abir Abd al-Majid

Thesis advisor

al-Nawafilah, Khalid Isa

University

Mutah University

Faculty

Faculty of Science

Department

Department of physics

University Country

Jordan

Degree

Master

Degree Date

2012

English Abstract

We have used the Hamilton-Jacobi theorem to obtain the Hamilton-Jacobi function for nonholonomic constraints.

The technique of separation of variables and canonical transformation is applied here to solve the Hamilton-Jacobi partial differential equation for nonholonomic systems.

Then the Hamilton-Jacobi function is used to determine the wave function, and the nonholonomic constraints become new condition on it to be satisfied in the semiclassical limit.

Finally we quantize these systems using the WKB approximation

Main Subjects

Physics

No. of Pages

30

Table of Contents

Table of contents.

Abstract.

Abstract in Arabic.

Chapter One : Introduction.

Chapter Two : Theoretical framework.

Chapter Three : Illustrative examples.

Chapter Four : Conclusion.

References.

American Psychological Association (APA)

al-Ajalin, Abir Abd al-Majid. (2012). Quantization of nonholonomic constraints using the WKB approximation. (Master's theses Theses and Dissertations Master). Mutah University, Jordan
https://search.emarefa.net/detail/BIM-793334

Modern Language Association (MLA)

al-Ajalin, Abir Abd al-Majid. Quantization of nonholonomic constraints using the WKB approximation. (Master's theses Theses and Dissertations Master). Mutah University. (2012).
https://search.emarefa.net/detail/BIM-793334

American Medical Association (AMA)

al-Ajalin, Abir Abd al-Majid. (2012). Quantization of nonholonomic constraints using the WKB approximation. (Master's theses Theses and Dissertations Master). Mutah University, Jordan
https://search.emarefa.net/detail/BIM-793334

Language

English

Data Type

Arab Theses

Record ID

BIM-793334